F. Faist, D. L. Capasso, C. Sivco, A. L. Sirtori, A. Y. Hutchinson et al., Quantum Cascade Laser, Science, vol.264, issue.5158, p.553, 1994.
DOI : 10.1126/science.264.5158.553
URL : https://hal.archives-ouvertes.fr/hal-00156810

A. Kohler, F. Tredicucci, H. E. Beltram, E. H. Beere, A. G. Linfield et al., Terahertz semiconductor-heterostructure laser, Nature, vol.23, issue.6885, p.156, 2002.
DOI : 10.1063/1.1461054

G. Bockelmann and . Bastard, Phonon scattering and energy relaxation in two-, one-, and zero-dimensional electron gases, Physical Review B, vol.42, issue.14, p.8947, 1990.
DOI : 10.1103/PhysRevB.42.8947

P. Pandey and . Guyot-sionnest, Slow Electron Cooling in Colloidal Quantum Dots, Science, vol.322, issue.5903, p.929, 2008.
DOI : 10.1126/science.1159832

T. Zibik, B. Grange, N. Carpenter, R. Porter, G. Ferreira et al., Long lifetimes of quantum-dot intersublevel transitions in the terahertz range, Nature Materials, vol.419, issue.10, p.803, 2009.
DOI : 10.1038/nmat2511
URL : https://hal.archives-ouvertes.fr/hal-00524229

C. Becker, O. Sirtori, V. Drachenko, D. Rylkov, J. Smirnov et al., GaAs quantum box cascade lasers, Applied Physics Letters, vol.81, issue.16, p.2941, 2002.
DOI : 10.1063/1.1515135
URL : https://hal.archives-ouvertes.fr/hal-00015744

A. Becker, C. Vasanelli, G. Sirtori, and . Bastard, Electron???longitudinal optical phonon interaction between Landau levels in semiconductor heterostructures, Physical Review B, vol.69, issue.11, p.115328, 2004.
DOI : 10.1103/PhysRevB.69.115328
URL : https://hal.archives-ouvertes.fr/hal-00018122

G. Wade, D. Fedorov, S. Smirnov, B. Kumar, Q. Williams et al., Magnetic-field-assisted terahertz quantum cascade laser operating up to 225??K, Nature Photonics, vol.81, issue.1, p.41, 2008.
DOI : 10.1038/nphoton.2008.251

E. Fathololoumi, C. Dupont, Z. Chan, S. Wasilewski, D. Laframboise et al., Terahertz quantum cascade lasers operating up to ??? 200 K with optimized oscillator strength and improved injection tunneling, Optics Express, vol.20, issue.4, p.3866, 2012.
DOI : 10.1364/OE.20.003866

A. Leuliet, A. Vasanelli, G. Wade, D. Fedorov, G. Smirnov et al., Electron scattering spectroscopy by a high magnetic field in quantum cascade lasers, Physical Review B, vol.73, issue.8, p.85311, 2006.
DOI : 10.1103/PhysRevB.73.085311
URL : https://hal.archives-ouvertes.fr/hal-00111915

C. Wingreen and . Stafford, Quantum-dot cascade laser: proposal for an ultralow-threshold semiconductor laser, IEEE Journal of Quantum Electronics, vol.33, issue.7, p.1170, 1997.
DOI : 10.1109/3.594880

A. Dmitriev and R. A. , Suris, physica status solidi (a), p.987, 2005.

D. Vukmirovic, Z. Indjin, P. Ikonic, and . Harrison, Photonics Technology Letters, IEEE, vol.20, p.129, 2008.

M. Krall, C. Brandstetter, H. Deutsch, A. M. Detz, W. Andrews et al., Subwavelength micropillar array terahertz lasers, Optics Express, vol.22, issue.1, p.274, 2014.
DOI : 10.1364/OE.22.000274

T. Grange, Electron transport in quantum wire superlattices, Physical Review B, vol.89, issue.16, p.165310, 2014.
DOI : 10.1103/PhysRevB.89.165310
URL : https://hal.archives-ouvertes.fr/hal-01332775

G. Lake, R. C. Klimeck, D. Bowen, and . Jovanovic, Single and multiband modeling of quantum electron transport through layered semiconductor devices, Journal of Applied Physics, vol.81, issue.12, p.7845, 1997.
DOI : 10.1063/1.365394

-. Lee and A. Wacker, Nonequilibrium Green???s function theory for transport and gain properties of quantum cascade structures, Physical Review B, vol.66, issue.24, p.245314, 2002.
DOI : 10.1103/PhysRevB.66.245314

N. Vukmirovic, Z. Ikonic, D. Indjin, and P. Harrison, Quantum transport in semiconductor quantum dot superlattices: Electron-phonon resonances and polaron effects, Physical Review B, vol.76, issue.24, p.245313, 2007.
DOI : 10.1103/PhysRevB.76.245313

C. Kubis, P. Yeh, A. Vogl, G. Benz, C. Fasching et al., Theory of nonequilibrium quantum transport and energy dissipation in terahertz quantum cascade lasers, Physical Review B, vol.79, issue.19, p.195323, 2009.
DOI : 10.1103/PhysRevB.79.195323

C. Xie, B. Chen, and . Ma, Bound polaron in a cylindrical quantum wire of a polar crystal, Physical Review B, vol.61, issue.7, p.4827, 2000.
DOI : 10.1103/PhysRevB.61.4827

C. M. Benisty, C. Sotomayor-torrès, and . Weisbuch, Intrinsic mechanism for the poor luminescence properties of quantum-box systems, Physical Review B, vol.44, issue.19, p.10945, 1991.
DOI : 10.1103/PhysRevB.44.10945

Y. Hameau, O. Guldner, R. Verzelen, G. Ferreira, J. Bastard et al., Strong Electron-Phonon Coupling Regime in Quantum Dots: Evidence for Everlasting Resonant Polarons, Physical Review Letters, vol.83, issue.20, p.4152, 1999.
DOI : 10.1103/PhysRevLett.83.4152

R. Grange, G. Ferreira, and . Bastard, Polaron relaxation in self-assembled quantum dots: Breakdown of the semiclassical model, Physical Review B, vol.76, issue.24, p.241304, 2007.
DOI : 10.1103/PhysRevB.76.241304
URL : https://hal.archives-ouvertes.fr/hal-00275519

M. Deutsch, M. Krall, H. Brandstetter, A. M. Detz, P. Andrews et al., High performance InGaAs/GaAsSb terahertz quantum cascade lasers operating up to 142???K, Applied Physics Letters, vol.101, issue.21, pp.211117-211121, 2012.
DOI : 10.1063/1.4766915

J. Vurgaftman, L. Meyer, and . Ram-mohan, Band parameters for III???V compound semiconductors and their alloys, Journal of Applied Physics, vol.89, issue.11, p.5815, 2001.
DOI : 10.1063/1.1368156

M. S. Levinshtein, S. Shur, and . Rumyanstev, Handbook series on semiconductor parameters, 1996.

. Wacker, Gain in quantum cascade lasers and superlattices: A quantum transport theory, Physical Review B, vol.66, issue.8, p.85326, 2002.
DOI : 10.1103/PhysRevB.66.085326

S. Banit, A. Lee, A. Knorr, and . Wacker, Self-consistent theory of the gain linewidth for quantum-cascade lasers, Applied Physics Letters, vol.86, issue.4, p.41108, 2005.
DOI : 10.1063/1.1851004

C. W. Burghoff, Q. Chan, J. L. Hu, and . Reno, Gain measurements of scattering-assisted terahertz quantum cascade lasers, Applied Physics Letters, vol.100, issue.26, pp.261111-261115, 2012.
DOI : 10.1063/1.4732518

P. Jirauschek and . Lugli, Monte-Carlo-based spectral gain analysis for terahertz quantum cascade lasers, Journal of Applied Physics, vol.105, issue.12, p.123102, 2009.
DOI : 10.1063/1.3147943