Asymmetric double quantum wells with smoothed interfaces

• Autorzy: Vladimir Gavryushin
• Języki publikacji: EN

Abstrakty

EN

We have derived and analyzed the wavefunctions and energy states for an asymmetric double quantum well (ADQW), broadened due to interdiffusion or other static interface disorder effects, within a known discreet variable representative approach for solving the one-dimensional Schrodinger equation. The main advantage of this approach is that it yields the energy eigenvalues, and the eigenvectors, in semiconductor nanostructures of different shapes as well as the strengths of the optical transitions between them. The behaviour of ADQW states for the different mutual widths of coupled wells, for the different degree of broadening, and under increasing external electric field is investigated. We have found that interface broadening effects change and shift energy levels, not monotonously, but the resonant conditions near an energy of sub-band coupling regions do not strongly distort. Also, it is shown that an external electric field may help to achieve resonant conditions for inter-sub-band inverse population by intrawell emission of LO-phonons in diffuse ADQW.

Słowa kluczowe

EN

multi-barrier quantum well structures; asymmetric double quantum wells; quasi-bound levels; discreet variable representation; Schrodinger equation

• Czasopismo: Open Physics
• Rocznik: 2012
• Tom: 10
• Numer: 2
• Strony: 459-469

Daty

wydano

2012-04-01

online

2012-03-31

Twórcy

autor

Vladimir Gavryushin

• Institute of Applied Research and Semiconductor Physics department, Vilnius University, Sauletekio al. 9-III, 10222, Vilnius, Lithuania,

Bibliografia

• [1] K. Talele, E. P. Samuel, D. S. Patil, Optik 122, 626 (2011) http://dx.doi.org/10.1016/j.ijleo.2010.03.027[Crossref]
• [2] J. Faist, Intersubband optoelectronics (ETH Zurich, Zurich, 2009) www.phys.ethz.ch/~mesoqc/lectures/QCL-lecture-long.pdf
• [3] B. Levine, et al., Appl. Phys. Lett. 50, 1092 (1987) http://dx.doi.org/10.1063/1.97928[Crossref]
• [4] J. Faist et al., Science 264, 553 (1994) http://dx.doi.org/10.1126/science.264.5158.553[Crossref]
• [5] J. Faist et al., Appl. Phys. Lett. 67, 3057 (1995) http://dx.doi.org/10.1063/1.114863[Crossref]
• [6] A. Valavanis, Z. Ikonic, R. W. Kelsall, Phys. Rev. B 77, 075312 (2008) http://dx.doi.org/10.1103/PhysRevB.77.075312[Crossref]
• [7] T. Sollner, W. Goodhue, P. Tannenwald, C. Parker, Appl. Phys. Lett. 43, 588 (1983) http://dx.doi.org/10.1063/1.94434[Crossref]
• [8] M. Ghisoni, G. Parry, M. Pate, G. Hill, J. Roberts, Jpn. J. Appl. Phys. 30, L1018 (1991) http://dx.doi.org/10.1143/JJAP.30.L1018[Crossref]
• [9] W. C. H. Choy, E. H. Li, IEEE J. Quantum Elect. 33, 382 (1997) http://dx.doi.org/10.1109/3.556007[Crossref]
• [10] I. Gontijo, T. Krauss, R. M. De La Rue, J. S. Roberts, J. H. Marsh, Electron. Lett. 30, 145 (1994) http://dx.doi.org/10.1049/el:19940073[Crossref]
• [11] J. J. He, et al., Electron. Lett. 24, 2094 (1995) http://dx.doi.org/10.1049/el:19951415[Crossref]
• [12] R. Kohler, et al., Nature 417, 156 (2002) http://dx.doi.org/10.1038/417156a[Crossref]
• [13] J. S. Yu, A. Evans, J. David, L. Doris, S. Slivken, M. Razeghi, IEEE Photonic. Tech. L. 16, 747 (2004) http://dx.doi.org/10.1109/LPT.2004.823686[Crossref]
• [14] J. Zhang et al., Surf. Sci. 600, 2288 (2006) http://dx.doi.org/10.1016/j.susc.2006.03.045[Crossref]
• [15] E. H. Li, B. L. Weiss, K.-S. Chan, IEEE J. Quantum. Elect. 32, 1399 (1996) http://dx.doi.org/10.1109/3.511553[Crossref]
• [16] W. C. H Choy, E. H. Li, IEEE J. Quantum Elect. 34, 1162 (1998) http://dx.doi.org/10.1109/3.687859[Crossref]
• [17] E. H. Li, IEEE J. Quantum Elect. 34, 982 (1998) http://dx.doi.org/10.1109/3.678594[Crossref]
• [18] E. H. Li, IEEE J. Quantum Elect. 34, 1155 (1998) http://dx.doi.org/10.1109/3.687858[Crossref]
• [19] J. D. Ralston, W. J. Schaff, D. P. Bour, L. F. Eastman, Appl. Phys. Lett. 54, 534 (1988) http://dx.doi.org/10.1063/1.100922[Crossref]
• [20] J. E. Zucker, et al., Electron. Lett. 28, 853 (1992) http://dx.doi.org/10.1049/el:19920539[Crossref]
• [21] M. Ghisoni, G. Parry, M. Pate, G. Hill, J. Roberts, Jpn. J. Appl. Phys. 30, L1018 (1991) http://dx.doi.org/10.1143/JJAP.30.L1018[Crossref]
• [22] W. C. H. Choy, E. H. Li, IEEE J. Quantum Elect. 33, 382 (1997) http://dx.doi.org/10.1109/3.556007[Crossref]
• [23] A. Efros, M. Raikh, In: R. Elliott, I. Ipatova (Eds.), Optical properties of mixed crystals (North-Holland, Amsterdam, 1988) 133
• [24] M. Herman, D. Bimberg, J. Christen, J. Appl. Phys. 70, R1 (1991) http://dx.doi.org/10.1063/1.349613[Crossref]
• [25] E. Runge, Solid State Phys. 57, 149 (2002) http://dx.doi.org/10.1016/S0081-1947(08)60180-0[Crossref]
• [26] R. Zimmermann, F. Grobe, E. Runge, Pure Appl. Chem. 69, 1179 (1997) http://dx.doi.org/10.1351/pac199769061179[Crossref]
• [27] E. Runge, Phys. Status Solidi A 201, 389 (2004) http://dx.doi.org/10.1002/pssa.200304002[Crossref]
• [28] H. Wang, H. Xu, Y. Zhang, Phys. Lett. A 340, 347 (2005) http://dx.doi.org/10.1016/j.physleta.2005.04.001[Crossref]
• [29] V. Gavryushin, SPIE Proc. Ser. 6596, 659619 (2007) http://dx.doi.org/10.1117/12.726499[Crossref]
• [30] A. K. Ghatak, K. Thyagarajan, M. R. Shenoy, Thin Solid Films 163, 461 (1988) http://dx.doi.org/10.1016/0040-6090(88)90465-8[Crossref]
• [31] A. K. Ghatak, K. Thyagarajan, M. R. Shenoy, IEEE J. Quantum Elect. 24, 1524 (1988) http://dx.doi.org/10.1109/3.7079[Crossref]
• [32] E. Anemogiannis, E. N. Glysis, T. F. Gaylord, T.K. Gaylord, IEEE J. Quantum Elect. 29, 2731 (1993) http://dx.doi.org/10.1109/3.248931[Crossref]
• [33] E. P. Samuel, D. S. Patil, Progress In Electromagnetics Research Letters 1, 119 (2008) http://dx.doi.org/10.2528/PIERL07111902[Crossref]
• [34] P. Harrison, Quantum wells, wires and dots: theoretical and computational physics, 2nd edition (Wiley, Chichester, UK, 2005) http://dx.doi.org/10.1002/0470010827[Crossref]
• [35] B. M. Stupovski, J. V. Crnjanski, D. M. Gvozdic, Comput. Phys. Commun. 182, 289 (2011) http://dx.doi.org/10.1016/j.cpc.2010.09.014[Crossref]
• [36] S. F.-P. Paul, H. Fouckhardt, Phys. Lett. A 286, 199 (2001) http://dx.doi.org/10.1016/S0375-9601(01)00398-X[Crossref]
• [37] K. Nakamura, A. Shimizu, M. Koshiba, K. Hayata, IEEE J. Quantum Elect. 25, 889 (1989) http://dx.doi.org/10.1109/3.27977[Crossref]
• [38] K. Q. Le, Microw. Opt. Techn. Let. 51, 1 (2009) http://dx.doi.org/10.1002/mop.23976[Crossref]
• [39] D. Colbert, W. Miller, J. Chem. Phys. 96, 1982 (1992) http://dx.doi.org/10.1063/1.462100[Crossref]
• [40] E. J. Austin, M. Jaros, Phys. Rev. B 31, 5569 (1985) http://dx.doi.org/10.1103/PhysRevB.31.5569[Crossref]
• [41] J. Heremans, D. L. Partin, P. D. Dresselhaus, Appl. Phys. Lett. 48, 644 (1986) http://dx.doi.org/10.1063/1.96731[Crossref]
• [42] D. Ahn, S. L. Chuang, Appl. Phys. Lett. 49, 1450 (1986) http://dx.doi.org/10.1063/1.97299[Crossref]
• [43] J. Singh, Appl. Phys. Lett. 48, 434 (1986) http://dx.doi.org/10.1063/1.96522[Crossref]
• [44] V. Gavryushin, arXiv:q-bio/0510041v1 [q-bio.BM]
• [45] E. O. Kane, Phys. Rev. 131, 79 (1963) http://dx.doi.org/10.1103/PhysRev.131.79[Crossref]
• [46] J. I. Pankove, Optical processes in semiconductors (Dover Publications Inc., New York, 1975)
• [47] E. W. Weisstein, Convolution. Wolfram Web Resource: http://mathworld.wolfram.com/Convolution.html
• [48] T. E. Scholesinger, T. Kuech, Appl. Phys. Lett. 49, 519 (1986) http://dx.doi.org/10.1063/1.97107[Crossref]
• [49] R. Betancourt-Riera, R. Rosas, I. Marin-Enriquez, R. Riera, J. L. Marin, J. Phys. C 17, 4451 (2005)
• [50] G. W. Wei, J. Phys. B 33, 343 (2000) http://dx.doi.org/10.1088/0953-4075/33/3/304[Crossref]
• [51] H.S. Lee, J. Light, J. Chem. Phys. 120, 4626 (2004) http://dx.doi.org/10.1063/1.1646370[Crossref]
• [52] J. Tennyson, et al., Comput. Phys. Commun. 163, 85 (2004) http://dx.doi.org/10.1016/j.cpc.2003.10.003[Crossref]
• [53] M. A. Stroscio, M. Kisin, G. Belenky, S. Luryi, Appl. Phys. Lett. 75, 3258 (1999) http://dx.doi.org/10.1063/1.125317[Crossref]
• [54] J. Faist, F. Capasso, C. Sirtori, D. L. Sivco, A. Y. Cho, In: H. C. Liu, F. Capasso (Eds.), Intersubband transitions in quantum wells: physics and device applications, nr. 2, ch. VIII. (Academic Press, New York, 2000)
• [55] F. Capasso, et al., J. Quantum Elect. 38, 511 (2002) http://dx.doi.org/10.1109/JQE.2002.1005403[Crossref]
• [56] J. Faist et al., J. Quantum Elect. 38, 533 (2002) http://dx.doi.org/10.1109/JQE.2002.1005404[Crossref]
• [57] A. Leuliet et al., Phys. Rev. B 73, 085311 (2006) http://dx.doi.org/10.1103/PhysRevB.73.085311[Crossref]
• [58] F. Stern, S. Das Sarma, Phys. Rev. B 30, 840 (1984) http://dx.doi.org/10.1103/PhysRevB.30.840[Crossref]
• [59] T. Roch, C. Pugl, A. M. Andrews, W. Schrenk, G. Strasser, J. Phys. D 38, A132 (2005) http://dx.doi.org/10.1088/0022-3727/38/10A/025[Crossref]
• [60] B. S. Williams, H. Callebaut, S. Kumar, Q. Hu, J. L. Reno, Appl. Phys. Lett. 82, 1015 (2003) http://dx.doi.org/10.1063/1.1554479[Crossref]

Identyfikatory

DOI

10.2478/s11534-011-0108-2