Article https://doi.org/10.1038/s41467-024-54873-z Continuous-wave electrically pumped multi- quantum-well laser based on group-IV semiconductors Lukas Seidel 1,12 , Teren Liu2,12, Omar Concepción 2, Bahareh Marzban3,9, Vivien Kiyek 2,10, Davide Spirito 4,11, Daniel Schwarz 1, Aimen Benkhelifa 1, Jörg Schulze5, Zoran Ikonic 6, Jean-Michel Hartmann7, Alexei Chelnokov 7, Jeremy Witzens 3, Giovanni Capellini 4,8, Michael Oehme1, Detlev Grützmacher 2 & Dan Buca 2 Over the last 30 years, group-IV semiconductors have been intensely investi- gated in the quest for a fundamental direct bandgap semiconductor that could yield the last missing piece of the Si Photonics toolbox: a continuous-wave Si- based laser. Along this path, it has been demonstrated that the electronic band structure of the GeSn/SiGeSn heterostructures can be tuned into a direct bandgap quantum structure providing optical gain for lasing. In this paper, we present a versatile electrically pumped, continuous-wave laser emitting at a near-infrared wavelength of 2.32 µmwith a low threshold current of 4mA. It is based on a 6-periods SiGeSn/GeSn multiple quantum-well heterostructure. Operation of themicro-disk laser at liquid nitrogen temperature is possible by changing to pulsed operation and reducing the heat load. The demonstration of a continuous-wave, electrically pumped, all-group-IV laser is a major breakthrough towards a complete group-IV photonics technology platform. Si-based photonic integrated circuits (PICs) in which optically active components are monolithically integrated on a silicon chip are trans- forming the next generation of information and communication technology infrastructure1. Due to its excellent optical performance, inherent flexibility, and low cost, the Si photonic (SiPh) technology has yielded active and passive components that are already widely employed in awealth of applications, ranging fromdatacom to sensing in biological and environmental detection systems. Moreover, SiPh develops as a promising technology platform for cryogenic applications in the emerging fields of integrated quantum technolo- gies, optical computing, and artificial intelligence related technologies1–5. Along this route, advances have beenmade in key SiPh components, including high-performance modulators, photo- detectors, and waveguides4,6–10. Nonetheless, an efficient, electrically pumped light source that can be manufactured using solely group-IV semiconductors still remains elusive. Although other approaches like bonding or microprinting III-V lasers on Si reached manufacturing level11, the ability to monolithically fabricate laser devices with Si Received: 24 June 2024 Accepted: 6 November 2024 Check for updates 1Institute of Semiconductor Engineering, University of Stuttgart, 70569 Stuttgart, Germany. 2Peter Gruenberg Institute 9 (PGI-9) and JARA-Fundamentals of Future Information Technologies, Forschungszentrum Juelich, 52428 Juelich, Germany. 3Institute of Integrated Photonics, RWTH Aachen, 52074 Aachen, Germany. 4IHP - Leibniz Institut für innovative Mikroelektronik, 15236 Frankfurt (Oder), Germany. 5Chair of Electron Devices, Friedrich-Alexander- Universität Erlangen-Nürnberg, 91058 Erlangen, Germany. 6Pollard Institute, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, UK. 7UniversitéGrenoble Alpes, CEA, LETI, 38054Grenoble, France. 8Department of Sciences, Università Roma Tre, 00146 Roma, Italy. 9Present address: Institute for Quantum Electronics, ETH Zürich, 8093 Zürich, Switzerland. 10Present address: Institute of Energy Materials and Devices (IMD-2), For- schungszentrum Juelich, 52428 Juelich, Germany. 11Present address: BCMaterials, Basque Center for Materials, Applications and Nanostructures, UPV/EHU Science Park, 48940 Leioa, Spain. 12These authors contributed equally: Lukas Seidel, Teren Liu. e-mail: lukas.seidel@iht.uni-stuttgart.de; d.m.buca@fz-juelich.de Nature Communications | (2024) 15:10502 1 12 34 56 78 9 0 () :,; 12 34 56 78 9 0 () :,; http://orcid.org/0000-0002-9147-7300 http://orcid.org/0000-0002-9147-7300 http://orcid.org/0000-0002-9147-7300 http://orcid.org/0000-0002-9147-7300 http://orcid.org/0000-0002-9147-7300 http://orcid.org/0000-0001-8197-7523 http://orcid.org/0000-0001-8197-7523 http://orcid.org/0000-0001-8197-7523 http://orcid.org/0000-0001-8197-7523 http://orcid.org/0000-0001-8197-7523 http://orcid.org/0000-0001-9360-9541 http://orcid.org/0000-0001-9360-9541 http://orcid.org/0000-0001-9360-9541 http://orcid.org/0000-0001-9360-9541 http://orcid.org/0000-0001-9360-9541 http://orcid.org/0000-0002-6074-957X http://orcid.org/0000-0002-6074-957X http://orcid.org/0000-0002-6074-957X http://orcid.org/0000-0002-6074-957X http://orcid.org/0000-0002-6074-957X http://orcid.org/0000-0003-2702-4697 http://orcid.org/0000-0003-2702-4697 http://orcid.org/0000-0003-2702-4697 http://orcid.org/0000-0003-2702-4697 http://orcid.org/0000-0003-2702-4697 http://orcid.org/0009-0002-3327-1897 http://orcid.org/0009-0002-3327-1897 http://orcid.org/0009-0002-3327-1897 http://orcid.org/0009-0002-3327-1897 http://orcid.org/0009-0002-3327-1897 http://orcid.org/0000-0003-4645-377X http://orcid.org/0000-0003-4645-377X http://orcid.org/0000-0003-4645-377X http://orcid.org/0000-0003-4645-377X http://orcid.org/0000-0003-4645-377X http://orcid.org/0000-0002-2771-4199 http://orcid.org/0000-0002-2771-4199 http://orcid.org/0000-0002-2771-4199 http://orcid.org/0000-0002-2771-4199 http://orcid.org/0000-0002-2771-4199 http://orcid.org/0000-0002-2896-7243 http://orcid.org/0000-0002-2896-7243 http://orcid.org/0000-0002-2896-7243 http://orcid.org/0000-0002-2896-7243 http://orcid.org/0000-0002-2896-7243 http://orcid.org/0000-0002-5169-2823 http://orcid.org/0000-0002-5169-2823 http://orcid.org/0000-0002-5169-2823 http://orcid.org/0000-0002-5169-2823 http://orcid.org/0000-0002-5169-2823 http://orcid.org/0000-0001-6290-9672 http://orcid.org/0000-0001-6290-9672 http://orcid.org/0000-0001-6290-9672 http://orcid.org/0000-0001-6290-9672 http://orcid.org/0000-0001-6290-9672 http://orcid.org/0000-0002-3692-5596 http://orcid.org/0000-0002-3692-5596 http://orcid.org/0000-0002-3692-5596 http://orcid.org/0000-0002-3692-5596 http://orcid.org/0000-0002-3692-5596 http://crossmark.crossref.org/dialog/?doi=10.1038/s41467-024-54873-z&domain=pdf http://crossmark.crossref.org/dialog/?doi=10.1038/s41467-024-54873-z&domain=pdf http://crossmark.crossref.org/dialog/?doi=10.1038/s41467-024-54873-z&domain=pdf http://crossmark.crossref.org/dialog/?doi=10.1038/s41467-024-54873-z&domain=pdf mailto:lukas.seidel@iht.uni-stuttgart.de mailto:d.m.buca@fz-juelich.de www.nature.com/naturecommunications technology processing steps would massively simplify the integration and lead to large-scale miniaturization. Besides manufacturing-related aspects, the GeSn lasers presented here give access to new function- alities and applications in the 2–4-μm wavelength range where the availability of lasers based on othermaterials is very reduced12,13. GaSb- based III-V material systems like GaInAsSb/AlGaAsSb have been suc- cessfully grown on Si and open up a similar wavelength range asGeSn14 in the mid-IR, that is particularly important for molecular sensing. However, it does not offer the advantage of all-group-IV semi- conductors and presents much more significant epitaxy and con- tamination issues15.Moreover, as a compound semiconductor, it is also subjected to the formation of antiphase domain boundaries, the sup- pression of which requires growth on patterned Si. An ideal on-chip light source based on Si needs to meet the following criteria: (i) low electrical current injection using bias and currents compatible with chip-scale drivers; (ii) continuous-wave (CW) or pulsed operation, depending on the application; (iii) temperature-stable operation in the targeted application range; and (iv) compatibility with standard com- plementary metal–oxide–semiconductor (CMOS) Si processing technology. The successful fabrication of such a device would allow to lever- age the mature CMOS technology and enable the integration of even more complex functionality into the SiPh platform, beneficial for e.g., nanoelectronics16,17, emerging neuromorphic7 or quantum-computing8 hardware platforms operating at cryogenic temperatures18. For instance, a fully integrated SiPh cryogenic circuitry may overcome the data bottleneck in spin-qubit and superconductor-based quantum- computing systems, requiring unconventional short-reach optical interconnects19. The newly developed GeSn and SiGeSn semiconductor material system offers an essential advantage over other group-IV semi- conductors: its lattice can be designed, by properly selecting the alloy composition and epitaxial strain, so that the material is turned into a fundamental direct bandgap semiconductor20–22. This unique property makes the (Si)GeSn system very attractive for photonic applications10,23,24. Majormilestones towards the realizationof a group- IV laser were reached in recent years. The first breakthrough was the demonstration of pulsed, optically pumped lasing, with initial oper- ating temperatures limited to 90K from an edge-emitting cavity. Improvements in the active material quality and new device concepts led to room temperature operation under optical pumping and reduced thresholds25–27. However, despite all these efforts, to date, only one publication reported CW operation, under optical pumping in tensile strained GeSn disk lasers21. Another significant finding was a tenfold laser threshold reduction achieved using GeSn/SiGeSn multi- quantum wells (MQWs)28,29 as active layers. Electrically pumped lasing was reported based on SiGeSn/GeSn double heterostructures with an almostmicron-thick gainmaterial layer and solely under nanoseconds pulsed operation with high current injection30,31. Thus, two major key characteristics have still to be demonstrated: electrically pumped operation in CW regime and at low current injection. In this work, both milestones are reached through SiGeSn/GeSn MQW disk-cavity laser diodes designed for cryogenic operation (4–77 K). The electrically pumpedmicrodisk laser operates fromCWto short pulse conditions, at injection currents as small as 4mA. Results The laser heterostructure and the design principle The GeSn/SiGeSn epitaxial heterostructure is grown in an industrial reduced-pressure chemical-vapor-deposition reactor (RP-CVD) on a 200-mmSi(100)wafer bufferedwith a 2.5-µm-thickGe virtual substrate (VS) in-situ boron-doped to 1018 cm−3 32–34. A partially relaxed 200nm Ge0.9Sn0.1 buffer is first grown, that sets a larger in-plane lattice con- stant for the following heteroepitaxy of the optically active MQW stack.TheMQWconsists of six periods of 20 nm thick Si0.06Ge0.83Sn0.11 barriers and 40nm thickGe0.885Sn0.115 wells. On top of theMQWstack, an n-type Si0.06Ge0.83Sn0.11 electron injection layer is grown. The high quality of the epitaxy and the atom distribution is shown in Fig. 1a, where a scanning transmission electron micrograph (STEM) of the heterostructure is displayed together with its Si, Sn, and Ge elemental distributions obtained from energy-dispersive X-ray mapping. The Sn concentration of 11.5 at.% was low enough to offer a high crystalline quality while being high enough to decrease the Γ-valley conduction band (CB) energy EΓ and provide a sufficient energy separation ΔEΓ-L (here called directness) from the indirect L-valley EL, which is required for high optical gain. The Si content of 6 at.% is oneof the lowest possible values yielding a Type I band alignment (i.e., con- finement for both electrons and holes), given that a pseudomorphic SiyGe1-x-ySnx layer grown on a relaxed GeSn buffer becomes tensile strained35. The heterostructure differs from a typical MQW laser stack in the design of both the optically active region and the injection layers with their doping mechanism. For the MQWs design: (i) the well thickness was chosen to give a minimum level of quantization, just enough to change from a 3D to a 2D density of states (DOS) while preserving the directness ΔEΓ-L inside the GeSn wells. Indeed, owing to the large dif- ference in their effective masses32, the energy of quantized Γ-valley states increasesmuchmore than that of L-valley states with decreasing well thicknesses, compromising the directness of the material. (ii) The purpose of the well/barrier heterostructure is to induce spatial con- finement of carriers. The barriers are thin enough to provide an overlap of wave functions from adjacent wells, allowing carrier trans- port by tunneling. At the same time, they are not so thin as to destroy spatial confinement and quantization. (iii) The design of the hole injection layer was modified: instead of being doped during the growth, the layer, non-intentionally doped, benefits from the dense misfit dislocation network at the GeSn heterointerface with the Ge-VS. The acceptor-like states of the network have an estimated effective doping density of 5 × 1017−1 × 1018 cm−3 36. The laser cavity The laser cavity has been designed as an under-etched microdisk (Fig. 1b). Fabrication details can be found in the Methods section. Scanning electron microscopy (SEM) images of the device at different fabrication stages are shown in Fig. 1c (insets c1–c3). The under-etch of the microdisk results in a high refractive index contrast and strong confinement of light at the rim of the GeSn disk, where whispering gallery modes (WGMs) of the cavity form. It also enables to elastically relax the residual epitaxial strain present in the as-grown hetero- structure. For all fabricatedmicrodisk cavities, the extent of the under- etchwas chosen to be 900nm, in order tomaintain a largeGepillar for heat dissipation. The band structure in the strain relaxed under-etched WGM region is shown in Fig. 1d. While material parameters for band structure calculations are known and experimentally validated for GeSn binaries, the bowing parameter bSiSn in SiGeSn ternaries depends on the Ge concentration32,37,38. To determine it for our barrier material, the photoluminescence emission of the top Si0.06Ge0.83Sn0.11 alloy was measured. A fit of the experimental data yielded bSiSn = 19 eV, a value which was used for electronic band structure calculations using the 8-band k·p method35,39. A type I band alignment is obtained (Fig. 1d) with offsets at the well-barrier interface of ~10meV for electrons and ~40meV for holes, providing carrier confinement up to ~110 K. Quan- tization induces an energy level splitting between the first two Γ-valley sub-bands of ~1-2meV, so that multiple sub-bands will be populated beyond ~20K. Similarly, multiple hole sub-bands are populated. The CW laser The devices were placed in a cryostat and their light emission ana- lyzed using a Fourier-transform spectrometer in continuous-scan mode with a maximum resolution of 0.2 cm−1 for CW pumping Article https://doi.org/10.1038/s41467-024-54873-z Nature Communications | (2024) 15:10502 2 www.nature.com/naturecommunications experiments (see Methods). The I-V characteristics of a laser diode are presented in Fig. 1e, showing rectifying behavior in the measured temperature range from 10 to 100K. A series of spectra recorded from a microdisk with a 5-μm-radius under different injection cur- rents is presented in Fig. 2a. The optical emission evolves from spontaneous to stimulated emission and back again to spontaneous emission as the injection current is increased. This is shown by a single, sharp emission line first rising above the spontaneous emis- sion background and collapsing again under excessive current injection due to the self-heating of the laser. The line forms at 0.535 eV (λ = 2.319μm), inset Fig. 2a1, first appears at a low injection current of 6 kA/cm2, and rapidly develops into a sharp laser mode (inset Fig. 2a2). This level of performance is equivalent to the one obtained with III-V DHS devices40 at the time when the first CW electrical pumping lasing demonstrations were achieved in that material system41. A clearly measurable second emission line appears at a lower energy of 0.526 eV (λ = 2.384 µm) for an injection current of 24 kA/cm2, but it does not evolve into a strong emission. The laser is for this current already in a regime at which self-heating sig- nificantly limits emission. The difference in the emission energy of the two modes of ~9meV is consistent with the expected WGM spacing for the 5 µm radius cavity, calculated to be ~9.4meV. The laser emission collapses into spontaneous electroluminescence above 32 kA/cm2 (inset Fig. 2a3). A high-resolution measurement at 5 K under 12 kA/cm2 current injection shows a sharp CW laser line with a full width at half maximum (FWHM) of 50μeV, within the resolution bandwidth of the spectrometer of 25 μeV (Fig. 2b). Mea- surements under the same conditions but using a different, cali- brated measurement setup with a lower resolution allows us to estimate a lower bound of the output power to 1 µW (Supplementary Fig. 1). The actual output power is expected to be higher due to the fact that only scattered light is measured and the collection effi- ciency of the setup is thus limited. The CW light-current (L-I) characteristic of the laser is presented in Fig. 2c for three temperatures. The abrupt change in the slope of the L-I curve indicates that stimulated emission becomes pre- dominant over spontaneous emission. It is associated with the col- lapse of the spectral width of the emission, clearly indicating the onset of lasing (the full evolution of the FWHM with the injection current is shown in Fig. 2e and Supplementary Fig. 2). The injection current densities at threshold, Jth, are determined more precisely by using the second derivative method (Fig. 2d). They are 6.2 kA/cm2, 8.5 kA/cm2, and 9 kA/cm2 at 5, 30, and 35 K, respectively. The current range over which lasing is observed shrinks as the temperature is increased. This is due to the interplay between ambient temperature and laser self-heating that impacts the gain. To better understand this aspect, the lattice temperature was estimated using the tem- perature dependence of the EL spectra from a large mesa LED (Supplementary Fig. 3) and an under-etched laser diode (Supple- mentary Fig. 4), both measured at low injection currents to avoid heating effects. In both cases, the Varshni fit of the bandgap tem- perature dependence results in almost identical fitting parameters, but the bandgap depends on the strain levels for different diode designs. The estimated lattice temperature of the active MQW layer for different current densities is presented in Fig. 2e, overlaid with the FWHM of the electroluminescence evolution. The lattice tem- perature seems to reach a high value of 104K at a current density of 34 kA/cm2, at which the laser emission collapses. Remarkably, the estimated lattice temperature is very close to the theoretical values of 110 K at which the carriers can escape from the QWs, due to the limited energy offset between SiGeSn barriers and GeSn wells (see Fig. 1d). Above this temperature, the carrier confinement fades out. Fig. 1 | SiGeSn/GeSnmulti-quantum-well structure. a Cross-sectional TEM image of the MQW together with Ge and Sn EDX elemental 2Dmap overlaid with the line cut Si, Ge, and Sn elemental concentrations. b Schematic 3D image of an under- etched microdisk laser without passivation. c SEM micrographs showing a (c1) microdisk after under-etching, (c2) top-viewwith highlightedWGMregion, and (c3) cross-section of a fabricated device. d Electronic band diagram of the MQW in the optically active under-etched region. e Current-voltage characteristics of the microdisk laser for temperatures ranging from 10K to 100K. Article https://doi.org/10.1038/s41467-024-54873-z Nature Communications | (2024) 15:10502 3 www.nature.com/naturecommunications CW lasing is the most challenging mode of operation to obtain, especially for low-gain materials, due to the self-heating of the device that raises the lattice temperature of the gain medium. Heating can then be reduced by quasi-continuous-wave (QCW) operation, in which the pump current is switched off for a limited amount of time, but maintained long enough in the on-state, e.g., milliseconds, to reach steady-state conditions. For the SiGeSn/GeSn MQW diode presented here, pure CW operation stops at 35 K. Switching over to millisecond QCW operation further increases the maximum lasing temperature. A laser spectrum taken at 40K for a current pulse length of 1ms at a frequency of 500Hz, with a duty cycle (DC) of 50%, is shown in Fig. 2f. QCW and pulsed laser emission study The CW laser emission demonstrated above is a first step towards a monolithic integrationof laser sourceswith SiPh for the emerging field of cryogenic photonics. The laser operation is in agreement with the electronic band structure of the designedheterostructure andwith the optical properties of the laser cavity. However, for a deeper under- standing of the laser behavior, two features, which give indications for future device performance improvement, can be further analyzed: (i) the temperature dependence of pulsed laser emission and (ii) the relationship between laser properties and current pulse length. QCW behavior above 35 K can be used to get further insight into the char- acteristics of the laser. As mentioned above, the heat dissipated during electrical pumping is one of the major factors leading to gain decrease. It has an impact on carrier energy and, thus, on the escape rate from the wells. Furthermore, heat reduces the material directness, resulting in higher scattering rates from the Γ- to the L-valley. It also increases the rate of non-radiative recombination processes, such as the Shockley-Read- Hall or Auger processes, that compromise the optical gain. Upon reducing the heat load by decreasing the electrical pulse length, the ambient temperature can be increased and the current density at threshold is reduced. In Supplementary Fig. 5, a set of 10 laser spectra is presented for current pulses ranging from 165 ns to 1ms at a con- stant current density of 25 kA/cm2, at 5 K. For a 5-μm-radius microdisk, the lasing threshold decreases from 6.2 kA/cm2 for CW lasing opera- tion down to 5.8 kA/cm2 for 1ms pulses and 5 kA/cm2 for 100ns pump pulses. Themaximumambient lasing operation temperature increases above 70K for laser pulses below 1μs and DCs below 10%. Temperature-dependent laser spectra for current pulses of 1μs and a DC of 5%, taken at 1.5 × Jth, are presented in Fig. 3a. CW pumping DC = 100% T = 5 K (a)(a3) (a2) 40 30 10 20 0 0.52 0.54 0.56 0.580.50 36 34 32 30 28 24 20 16 10 8 6 5 Current density (kA/cm 2) Energy (eV) x5 x2 0.52 0.56 0.60 0.00 0.05 0.10 Energy (eV) J = 34 kA/cm2 0.48 5 10 15 20 25 30 35 40 -10 -0.5 0 0.5 1.0 1.5 2.0 Laser ON Laser OFF Se co nd d er iv at iv e (d 2 L /d I2 ) 5K 30K 35K 10 0.1 1 In te gr at ed in te ns ity (A rb . u ni ts ) 4 20 30 406 8 CW pumping DC = 100% 5K 30K 35K 0.48 0.52 0.56 0.60 0.00 0.05 0.15 Energy (eV) J = 5 kA/cm2 0.50 0.52 0.54 0.56 0.58 0.60 0 10 20 30 40 Energy (eV) J = 16 kA/cm2 0.50 0.55 0.60 0 50 100 150 200 40K J = 12 kA/cm2 Pw = 1 ms � = 500 Hz Energy (eV) CW CW CW CW QCW 0.5346 0.5348 0.5350 2.3195 2.3186 2.3178 0 2 4 6 8 10 Wavelength (µm) Energy (eV) FWHM: 50 µeV, 13.5 GHz, 0.2 nm J = 12 kA/cm2 Resolution 0.2 cm-1 0 10 20 30 40 50 FW H M (m eV ) 20 40 60 80 100 1205 K 30 K La tti ce te m pe ra tu re (K ) 86 0403024 01 Current density (kA/cm2) Current density (kA/cm2) Current density (kA/cm 2) 0 5 10 15 20 25 30 35 400.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 Current density (kA/cm2) 0.5 1.0 1.5 2.0 2.5 3.0 In te gr at ed in te ns ity (A rb . u ni ts ) Vo lta ge (V ) O pt ic al p ow er (A rb . u ni ts ) O pt ic al p ow er (A rb . u ni ts ) O pt ic al p ow er (A rb . u ni ts ) O pt ic al p ow er (A rb . u ni ts ) O pt ic al p ow er (A rb . u ni ts ) O pt ic al p ow er (A rb . u ni ts ) (a1) (b) (f) (e)(d)(c) Fig. 2 | Electrically pumped laser emission. a EL spectra and L-I-V characteristic of a 5 μm radius diode showing a laser line emerging from the spontaneous emission background under CW operation at 5 K. Insets: spectra before threshold (a1), after threshold (a2), and after collapse of the laser line (a3). b High-resolution spectrum showing an FWHMof 50μeV for themain lasingmode. c L-I characteristics at 5, 30, and 35 K. d Second derivative of the L-I characteristics used to extract the laser ON and laser OFF thresholds. e Estimated lattice temperature vs. current pumping density overlaid with the FWHM evolution at 5 and 30K. f Laser spectrum at 40K under 1ms, 500Hz, DC= 50% current pulses. Article https://doi.org/10.1038/s41467-024-54873-z Nature Communications | (2024) 15:10502 4 www.nature.com/naturecommunications A laser tunable over a wide range of current injection conditions gives, for the first time in group-IV photonics, the opportunity to study the stimulated emission behavior of GeSn semiconductors. The mea- sured spectra, which are described so far, provide information on the spectral distribution of the signal intensity. However, they do not offer insights on the time scale of the laser pulses. The main question to answer now is whether the laser emission occurs over the entire cur- rent pulse duration at temperatures above 35 K. At low temperatures, at constant repetition rate and peak injection current, the averaged power increases linearly (slopem = 1) with the pump pulse length (see Supplementary Fig. 6). Consequently, at these temperatures, the laser emission duration equals the pump time duration, consistent with the laser’s ability to operate in CW mode up to 35 K. Heat dissipation through the Ge pillar into the Si substrate is thus sufficient. Interest- ingly, up to 30K, the heat dissipation through theGepillar is improved with increasing temperature, caused by the strong increase in the Ge lattice thermal conductivity. It reaches its maximum at 30K, followed by a fast decrease of about 10 times at higher temperatures42. In structures with weak carrier confinement, as those used here, interesting laser dynamics appear at higher temperatures, where the energy of electrons increases, and heating effects play an important role. At 40K, the laser emission is constant for 100ns pulses up to the highest measured repetition rate of 5MHz (see Fig. 3b). At 50K, the laser emission drops slightly beyond 3MHz. This indicates a temperature rise due to non-sufficient cooling between subsequent current pulses. At 70K, lasing stops above 1MHz, which is a con- sequence of both: the reduction of the available optical gain and the increase of the thermal resistance of the Ge pillar, which slows down the cooling rate between pulses. To evaluate the laser dynamics at 40K, the optical emission is evaluated for different pump pulses at a constant peak current of 25 kA/cm2 and a constant DC of 10%, so that the average electrical power is maintained (Supplementary Fig. 7). The averaged power per pulse relative to the emission for 100 ns current pulses is shown in Fig. 3c. At this temperature, in contrast to the curves at 5 and 30K, the laser emission no longer increases linearly with the current pulse length, as would be expected when the lasing intensity stays constant over the entire duration of the current pulse. At 40K, the average optical energy per pulse increases up to 400 ns current pulses and remains constant thereafter. This shows that laser action ismaintained only during the first 400ns, with spontaneous emission for the remaining current pulse duration, as schematically represented in the insets of Fig. 3d. This is also supported by the optical spectra shown in Fig. 3d, in which the emission background rises for longer current pulse durations. The optical emission is actually the superposition of a laser pulse of 400ns and a spontaneous emission background during the rest of the increasing pulse duration. A similar analysis, presented in the SI, concludes that the laser pulse length reduces to 250 ns at (c3) (d2) (a) DC = 10% 0.0 0.5 1.0 1.5 2.0 0 2 4 6 8 10 12 14 16 18 20 N or m al iz ed a ve ra ge p ow er p er p ul se to th e av er ag e po w er o f 1 00 n s pu ls e Pulse length (µs) 30K 40K 5K J = 25 kA/cm2 J = 25 kA/cm2 Pw = 100 ns 50.5 1 2 3 4 104 103 5 K 30 K 40 K 50 K 60 K 70 K D C s ca le d av er ag e po w er (A rb . u ni ts ) Frequency (MHz) 0.05 0.1 no lasing (c) (c1) (c2) 55.0 05.00.60 70 60 50 40 30 20 5 Av er ag e po w er (A rb .u ni ts )@ 1. 5 J th Energy (eV) 60 80 100 120 140 160 Temperature (K) 0.40 0.45 0.50 0.55 0.60 0.65 0 1 3 2 0.1 0.2 0.4 0.5 1 2 Energy (eV) D C s ca le d av er ag e po w er (A rb . u ni ts ) Puls e l en gth (µ s) sp on ta ni ou s e m is si on la se r e m is si on + 2 µs sp on ta ni ou s e m is si on la se r e m is si on + Optical pulse pump pulse (b) pump pulse la se r e m is si on 0.4 µs Optical pulse 40 20 (d1) (d3) (d) Optical pulse 1 µs pump pulse Pw = 1 µs Fig. 3 | Lasingunderpulsedpumping. aTemperature-dependent EL spectra taken at current densities of 1.5 × Jth for a pump pulse of 1μs. b Pulse frequency depen- dent average power for 100ns pulses at different temperatures up to 70K. The collected optical power is rescaled according to the duty cycle, to enable com- parison between measurements. c Optical power per pulse normalized to that of the 100 ns pulse. The flattening of the curves indicates that the laser pulse length is shorter than the current pulse length. d Current pulse-dependent EL spectra taken at 40K with a current density of 25 kA/cm2 and a constant DC of 10% (corre- sponding to the black plot in (c)). The insets (d1–d3) schematically illustrate the relation between the length of the laser and current pump pulses. Article https://doi.org/10.1038/s41467-024-54873-z Nature Communications | (2024) 15:10502 5 www.nature.com/naturecommunications 60K, while at 70K, lasing occurs only during the first 100 ns of the pumping pulse. Temperature dependence of laser parameters The laser threshold dependence on lattice temperature is an essential property of semiconductor lasers. Temperature-dependent L-I char- acteristics for 1 μs pulses at 50kHz repetition rate are shown in Fig. 4a. Laser spectra, taken at 1.5 times the threshold current density, are already shown in Fig. 3a. The laser threshold has an exp(T/T0) depen- dence on temperature, where the characteristic temperature of the laser, T0, is a measure of its temperature sensitivity and T is the laser operation temperature.T0 is found to be 160K for temperatures below 50K and small pulse durations. Above that, T0 decreases to 50K, as seen in Fig. 4b. For longer pulses, the transition from high to low T0 occurs at lower threshold temperatures due to self-heating of the laser. There are several factors that can contribute to this T0 degradation. As the temperature rises, increased band filling and carrier thermalization eventually lead to the L-valley population. Consequently, the electron DOS suddenly increases. Thus, any further increase in Γ-valley elec- trons comes with a large overhead in L-valley electrons, leading to a runoff in the threshold current31. Reduced carrier confinement in the shallow wells and the temperature dependence of Auger recombina- tion coefficients could also contribute to this. In particular, if it is assumed that the required carrier concentration continues to expo- nentially increase with a characteristic temperature of 160K when Auger recombination becomes dominant, the required injection cur- rent would increase with the carrier concentration to the power of three, hence with an exponential dependence with three times smaller characteristic T0, in line with what is observed here. Discussion The laser emission sensitivity to temperature is attributed to weak quantization. The energy separation between quantized sub-bands in the CB or valence band (VB) is very small (1−2meV), therefore, elec- trons and holes can easily transfer from one quantized state to another. Optical transitions, however, are stronger between electron and hole states with the same quantum number. Up to 35 K the laser canbeoperated in CWmode and the characteristic thermal energy kBT remains below the energy difference between the first and third sub- bands. This means that only the first two sub-bands contribute to gain. Quantization still significantly contributes to reducing the joint density of states (JDOS) below the photon energy, reducing the transparency carrier concentration and the requiredpumpcurrent. Above 50K, four or more sub-bands are populated, implying that the gain medium behaves increasingly like bulk. However, even in the present MQW structure, the quantization is clearly essential. In the range where lasing exists, the profiles of the spontaneous emission background for low and high current densities, shown in Fig. 2a1 and a3, are very similar (in shape, not intensity). This is another indication that the emission is based on 2D, not 3D DOS, because in the case of a 3D DOS, the spontaneous emission profile would shift with the carrier density. Strong quantization with a larger spacing between quantum states would enable to increase the temperature and this can be achieved by narrowing the width and increasing the Sn content in the wells. How- ever, a trade-off had to be found between sufficient quantization and the decrease of CB directness resulting from the higher quantization energy offsets seen by Γ-valley electrons. The MQW design, meaning the Sn content and the well width,must thus be adapted to the desired applications and material system. Even though the threshold is still slightly higher than the 0.6 kA/ cm2 of comparable GeSn Fabry-Perot lasers30, the MQW strongly improves laser performance compared to the only electrically pumped microdisk SiGeSn/GeSn/SiGeSn double heterostructure (DHS) laser reported todate31. The threshold current density decreases by a factor of 8, although the cumulative thickness of the gainmaterial is decreasedby a factor of 3. This proves thatquantization andpossibly reduced non-radiative recombination rates resulting from the high material quality inherent to a reduced Sn content have an impact on laser performance. Lasing in MQWs is achieved in the CW regime and any pulse width/frequency combination, while the DHS structure was only able to lase with very short current pulses. Such improvements were achieved even though the DHS laser had a larger Sn composition of 14 at.% and a larger under-etch of 1300nm, which both increase the energy difference between the Γ- and L-valley, making the gain med- iummore direct. For the same under-etch of 900nm as reported here, the lasing threshold is reduced about 12 times compared to the DHS. This underscores the advantage of carrier confinement in QWs and the DOS change from 3D to 2D. It also highlights that increasing the directness of the material is not the only relevant criterion. Finally, the laser has proven to be resilient to extended operation times. To collect the data presented here, one of the laser diodes was kept in the ON- state for a cumulative time of ~60 h with over 10 million ON/OFF switching events. Nodiode has shownperformancedegradation at any time during these measurements. The laser’s operational temperature presented in this paper could be increased by further heterostructure and cavity design optimiza- tion. The Sn/Si compositions and the well/barrier widths could be further optimized to offer a larger band-offset. This canbe obtained by increasing the Sn content inside the wells and the Si content inside the barriers, or by using a GeSnx/GeSny MQW (x < y) with y-x > 5%18. Moreover, QW dimension optimization, like reducing the width of the wells, will lead to a larger operation temperature provided the 0 10 20 30 40 50 60 70 80 4 6 8 10 12 16 20 24 10 µs, 50 kHz 1.0 µs, 50 kHz 0.1 µs, 50 kHz Th re sh ol d cu re nt , I th (m A) T0 = 50 K T0 = 160 K Pw � Temperature (K) 5 10 15 20 25 30 10 100 1000 5K 20K 30K 40K 50K 60K 65 K 70 K Av er ag e po w er (A rb . u ni ts ) Current (mA) Pw = 1 µs � = 50 kHz DC = 5% (b)(a) Fig. 4 | Laser threshold. a Temperature-dependent L-I characteristics for 1 µs pump pulses and a DC of 5%. b Laser threshold versus temperature. T0 of 160 and 50 K are extracted at low and high temperatures, respectively. Article https://doi.org/10.1038/s41467-024-54873-z Nature Communications | (2024) 15:10502 6 www.nature.com/naturecommunications directness of the material can be maintained with the help of the improved material compositions. In addition, the use of a ring cavity design has been shown to lower the threshold even further. The ring cavity optimizes the overlap of the WGM with the pumped area and more importantly prevents pumping of the central part from a disk cavity that does not contribute to the amplification of the WGM but increases the overall heat load of the laser31. Heat dissipation is an important aspect for GeSn lasers, taking into account that GeSn becomes a good thermoelectric material with increasing Sn content43. Future works should also adopt strain engineering methods that are well established for Si technology, such as adding stressor layers, e.g., silicon nitride (SiN), to induce tensile strain in the active region18. From an integration perspective, the evanescent coupling of the lasingmode into a Ge or SiN waveguide or the use of a Fabry-Perot cavity with an increased Sn content of the GeSn buffer to provide relaxed or even tensile strained growth of the active layers are logical future steps. In summary, a CMOS-compatible GeSn/SiGeSnmultiple quantum- well heterostructure laser for cryogenic Si-photonics operation has been demonstrated. Its electrical characteristics show clear rectifying behavior. Laser operation is obtained from the short, 100 ns pulses to the CW range, with a linewidth of 15 GHz. Carrier confinement, quantization-induced change to a 2D-DOS in the gainmaterial, and low contact resistances result in amuch-reduced threshold current of only 4mA. This is eight times lower compared to a previously reported thick GeSn laser device, which was able to operate only under very short pulse pumping conditions. This work opens up a path for the integration of GeSn-based lasers in large-scale PICs for emerging cryogenic systems in both classical and quantum-computing applications. Methods Fabrication For the laser diodes, a design comprising an under-etched optical cavity (Fig. 1b) has been chosen. The fabrication was carried out using only CMOS-compatible processes and materials. It features a max- imum temperature of 150 °C which is definitely below the growth temperature of the gain material, e.g., 300 °C. The GeSn mesa was structured down to the doped Ge-VS using inductive-coupled plasma reactive-ion-etching (ICP-RIE) with HBr radicals. After mesa structur- ing, an isotropic under-etch with F-based gas was used to form the microdisk cavity. During this step, the formation of a SnFx-layer pre- vented Sn-containing layers from being etched. Diodes were passi- vated andelectrically isolatedby an 800 nm thickSiO2 layer,whichwas deposited by plasma-enhanced CVD. Etching of the contact windows was done by RIE with CHF3 gas, and a short wet-chemical etch in buf- fered HF. The metal contact module is realized by sputtering a 50nm Ti diffusion barrier followed by 2 µmof Al, which were then structured using ICP-RIE with Cl2 as etchant. Optical characterization Laser spectra of MQW micro-ring diodes were acquired with a Bruker VERTEX 80 v FT-IR spectrometer. Pulsed emission (<50 kHz) was measured in the Step-Scan Mode, which detects the modulated signal intensity with a lock-in amplifier to achieve a higher signal-to-noise ratio, and hence better visibility for low-intensity signals. CW and high- frequency spectra were acquired in the continuous FT-IR scan mode with the integration of 80 spectra to reduce the background noise level. Finally, diodes were pumped using a Tektronix AFG function generator. Data availability The experimental data generated in this study have been deposited in the FigShare database under the accession code https://doi.org/10. 6084/m9.figshare.27242169.v1. References 1. Yang, J., Tang, M., Chen, S. & Liu, H. From past to future: on-chip laser sources for photonic integrated circuits. Light Sci. Appl. 12, 12–14 (2023). 2. Luo, W. et al. 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