Temperature dependence of band gaps in semiconductors: Electron-phonon interaction

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 19, 2012, Pages

  Bhosale, J ^a   Ramdas, A K ^a   Burger, A ^b   Munoz A ^c   Romero, A H ^d   Cardona, M ^e   Lauck, R ^e   Kremer, R K ^e  

^a PURDUE UNIVERSITY   (United States)

^b FISK UNIVERSITY   (United States)

^c UNIVERSIDAD DE LA LAGUNA   (Spain)

^d MAX PLANCK INSTITUTE OF MICROSTRUCTURE PHYSICS   (Germany)

^e MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84870479297     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.195208     Document Type: Article

References (60)

1. M. Cardona and M. L. W. Thewalt, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.1173 77, 1173 (2005).
2. S. Zollner, S. Gopalan, and M. Cardona, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(91)90725-B 77, 485 (1991).
3. D. Olguín, A. Cantarero, and M. Cardona, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/1521-3951(200007)220:1〈33::AID-PSSB33〉3.0. CO;2-J 220, 33 (2000).
4. A. Marini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 106405 101, 106405 (2008).
5. A. Göbel, T. Ruf, M. Cardona, C. T. Lin, J. Wrzesinski, M. Steube, K. Reimann, J.-C. Merle, and M. Joucla, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.15183 57, 15183 (1998).
6. J. Serrano, Ch. Schweitzer, C. T. Lin, K. Reimann, M. Cardona, and D. Fröhlich, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.125110 65, 125110 (2002).
7. A. Manoogian and A. Leclerc, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.2220920147 92, 23 (1979).
8. Y. P. Varshni, Physica PHYSAG 0031-8914 10.1016/0031-8914(67)90062-6 34, 149 (1967).
9. A. Manoogian and J. C. Woolley, Can. J. Phys. 62, 285 (1984).
10. R. Pässler, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/1521-3951(199703)200:1〈155::AID-PSSB155〉3.0.CO;2-3 200, 155 (1997).
11. L. I. Berger, L. V. Kradinova, V. M. Petrov, and V. D. Prochukhan, Inorg. Mater. 9, 1258 (1973).
12. S. Levcenco, S. Doka, V. Tezlevan, D. Fuertes Marron, L. Kulyuk, T. Schedel-Niedrig, M. Ch. Lux-Steiner, and E. Arushanov, Physica B PHYBE3 0921-4526 10.1016/j.physb.2010.05.037 405, 3547 (2010).
13. L. Artus and Y. Bertrand, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(87)90727-7 61, 733 (1987).
14. F. Herman and S. Skillman, Atomic Structure Calculations (Prentice-Hall, Inc., Inglewood Cliffs, New Jersey, 1963).
15. A. H. Romero, M. Cardona, R. K. Kremer, R. Lauck, G. Siegle, C. Hoch, A. Muñoz, and A. Schindler, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.195208 83, 195208 (2011).
16. I. H. Choi, D. H. Lee, Y. D. Choi, Y. M. Yu, and P. Y. Yu, J. Korean Phys. Soc. 44, 403 (2004).
17. R. Madelon, M. Shaimi, A. Hairie, E. Paumier, and B. Mercey, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(84)90326-0 50, 545 (1984).
18. S. Ozaki, M. Sasaki, and S. Adachi, Phys. Status Solidi A PSSABA 0031-8965 10.1002/pssa.200669526 203, 2648 (2006).
19. E. Calderón, B. Fernández, L. Durán, P. Grima, M. Morocoima, E. Quintero, C. Rincón, and M. Quintero, Physica PHYBE3 0921-4526 10.1016/j.physb.2009.07.169 404, 4095 (2009).
20. W. Scott, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1662110 44, 5165 (1973).
21. L. I. Berger, L. V. Kradinova, V. M. Petrov, and V. D. Prochukhan, Izv. Akad. Nauk. SSSR Neorg. Mater. 9, 1258 (1973)
22. L. I. Berger, L. V. Kradinova, V. M. Petrov, and V. D. Prochukhan, [Inorg. Mater. (USSR) 9, 1118 (1973)].
23. T. Raadik, J. Krustok, and M. V. Yakushev, Physica B PHYBE3 0921-4526 10.1016/j.physb.2010.11.002 406, 418 (2011).
24. I. V. Bodnar, V. F. Gremenok, R. W. Martin, and M. V. Yakushev, Opt. Spectra OPSUA3 0030-400X 10.1134/1.626805 88, 377 (2000).
25. J. Krustok, A. Jagomägi, M. Grossberg, J. Raudoja, and M. Danilson, Solar Energy Materials and Solar Cells SEMCEQ 0927-0248 10.1016/j.solmat.2006. 02.003 90, 1973 (2006).
26. G. Kresse and J. Furthmüller, Comput. Mater. Sci. CMMSEM 0927-0256 10.1016/0927-0256(96)00008-0 6, 15 (1996).
27. P. E. Blöchl, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.50. 17953 50, 17953 (1994).
28. G. Kresse and D. K. Joubert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.1758 59, 1758 (1999), and references therein.
29. J. P. Perdew, A. Ruzsinszky, G. I. Csonka, O. A. Vydrov, G. E. Scuseria, L. A. Constantin, X. L. Zhou, and K. Burke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.136406 100, 136406 (2008).
30. M. Cardona, R. K. Kremer, G. Siegle, A. Muñoz, A. H. Romero, and M. Schmidt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.085210 82, 085210 (2010).
31. L. E. Díaz-Sánchez, A. H. Romero, M. Cardona, R. K. Kremer, and X. Gonze, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.165504 99, 165504 (2007).
32. R. Lauck, J. Cryst. Growth JCRGAE 0022-0248 10.1016/j.jcrysgro.2010.09. 037 312, 3642 (2010).
33. P. G. Schunemann, S. D. Setzler, T. M. Pollak, M. C. Ohmer, J. T. Goldstein, and D. E. Zelmon, J. Cryst. Growth JCRGAE 0022-0248 10.1016/S0022-0248(99)00851-9 211, 242 (2000).
34. A. Burger, J.-O. Ndap, Y. Cui, U. Roy, S. Morgan, K. Chattopadhyay, X. Ma, K. Faris, S. Thibaud, R. Miles, H. Mateen, J. T. Goldstein, and C. J. Rawn, J. Cryst. Growth JCRGAE 0022-0248 10.1016/S0022-0248(01)00957-5 225, 505 (2001).
35. J. S. Bhosale, Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.3633944 82, 093103 (2011).
36. Golden DRAGON LED, OSRAM Opto Semiconductors, Inc., 2650 San Tomas Expressway, Suite 200, Santa Clara, CA 95051 (2011).
37. LZ1 High Efficacy LED Emitter, LED Engin, Inc., 3350 Scott Blvd., Bldg. 9, Santa Clara, CA 95054 (2012).
38. C. Parlak and R. Eryiit, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.245217 73, 245217 (2006).
39. T. Gürel and R. Eryiit, Cryst. Res. Technol. CRTEDF 0232-1300 10.1002/crat.200410536 41, 83 (2006).
40. M. Akdoan and R. Eryiit, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/32/309 14, 7493 (2002).
41. F. W. Ohrendorf and H. Haeuseler, Cryst. Res. Technol. CRTEDF 0232-1300 10.1002/(SICI)1521-4079(199903)34:3〈339::AID-CRAT339〉3.0.CO;2-E 34, 339 (1999).
42. V. Riede, H. Sobotta, H. Neumann, and H. X. Nguyen, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(78)90836-0 28, 449 (1978).
43. J. Aewski and K. Parlinski, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/48/324 11, 9673 (1999).
44. J. Aewski and K. Parlinski, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1356018 114, 6734 (2001).
45. R. K. Kremer (unpublished).
46. M. Cardona, R. K. Kremer, R. Lauck, A. H. Romero, A. Muñoz, and A. Burger, in Phonons 2012: 14th Int. Conf. on Phonon Scattering in Condensed Matter (to be published).
47. 2 have been published by J. Aewski and K. Parlinski, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/1521-3951(200004)218:2〈;411::AID- PSSB411〉3.0.CO;2-D 218, 411 (2000). Their data are in agreement with our findings.
48. J. Pujol, L. Artus, J. Pascual, and J. Camassel, Physica Scripta PHSTBO 0031-8949 10.1088/0031-8949/41/5/014 41, 696 (1990).
49. L. Artus, J. Pascual, J. Pujol, J. Camassel, and R. S. Feigelson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.2088 43, 2088 (1991).
50. I.-H. Choi and P. Y. Yu, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(96)00039-X 57, 1695 (1996).
51. A. S. Poplavnoi and Yu. I. Polygalov, Inorg. Mater. 7, 1527 (1971).
52. N. N. Syrbu, I. M. Tiginyanu, L. L. Nemerenco, V. V. Ursaki, V. E. Tezlevan, and V. V. Zalamai, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/j.jpcs.2005.09.029 66, 1974 (2005).
53. A. Meeder, A. Jäger-Waldau, V. Tezlevan, E. Arushanov, T. Schedel-Niedrig, and M. Ch. Lux-Steiner, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/15/36/310 15, 6219 (2003).
54. A. Rivero, M. Quintero, Ch. Power, J. Gonzalez, R. Tovar, and J. Ruiz, J. Electron. Mater. JECMA5 0361-5235 10.1007/s11664-997-0062-3 26, 1428 (1997).
55. P. Y. Yu and M. Cardona, Fundamentals of Semiconductors, 4th ed. (Springer, Heidelberg, 2010).
56. M. N. Nordin, Juerong Li, S. K. Clowes, and R. J. Curry, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/23/27/275701 23, 275701 (2012).
57. U. N. Roy, B. Mekonen, O. O. Adetunji, K. Chattopahhyay, F. Kochari, Y. Cui, A. Burger, and J. T. Goldstein, J. Cryst. Growth JCRGAE 0022-0248 10.1016/S0022-0248(02)00923-5 241, 135 (2002).
58. R. Kumar and R. K. Bedi, J. Mater. Sci. JMTSAS 0022-2461 10.1007/s10853-005-6103-5 40, 455 (2005).
59. S. Arai, S. Ozaki, and S. Adachi, Appl. Opt. APOPAI 0003-6935 10.1364/AO.49.000829 49, 829 (2010).
60. D. Olguín, M. Cardona, and A. Cantarero, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(02)00225-9 122, 575 (2002).