Temperature gradient and transport of heat and charge in a semiconductor structure (Review Article)

Физика Низких Температур: Том 47, Выпуск 7 (Июль 2021), c. 596-602 ( к оглавлению , назад )

Temperature gradient and transport of heat and charge in a semiconductor structure (Review Article)

Oleg Yu. Titov

Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, México 07730, CDMX, México

Yuri G. Gurevich

Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN Av. IPN 2508, México 07360, CDMX, México
E-mail: gurevich@fis.cinvestav.mx

Received January 06, 2021, published online May 26, 2021

Abstract

A detailed analysis of the influence of thermal nonequilibrium on transport in semiconductors was carried out. It is shown that the transport of heat and electricity in bipolar semiconductors are interdependent and self-consistent. In a general case, the distribution of the temperature in homogeneous semiconductors cannot be con-stant or a linear function with respect to the coordinate even in a linear approximation. The roles of nonequilibrium charge carriers and the recombination in the heat transport are established.

Анотація

Проведено детальний аналіз впливу теплової нерівноваги на транспорт у напівпровідниках. Показано, що транспорт тепла та заряду в біполярних напівпровідниках взаємозалежні та самоузгоджені. У загальному випадку розподіл температури в однорідних напівпровідниках не може бути постійним, або лінійною функцією щодо координати навіть у лінійному наближенні. Встановлено ролі нерівноважних носіїв заряду та рекомбінації в транспорті тепла.

Key words: thermal nonequilibrium, recombination, quasineutrality, transport phenomena.

References

1. M. Y. Granovskii and Y. G. Gurevich, Sov. Phys. Semicond. 9, 1024 (1975). Google Scholar

2. M. I. Kaganov and L. D. Filatova, Sov. Phys. Solid State 7, 1690 (1966). Google Scholar

3. Y. G. Gurevich and M. I. Kaganov, Sov. Phys. JETP 48, 1176 (1978). Google Scholar

4. Y. G. Gurevich and O. L. Mashkevich, Phys. Rep. 181, 327 (1989). CrossRef Google Scholar

5. A. V. Bochkov, Y. G. Gurevich, and O. L. Mashkevich, JETP Lett. 42, 346 (1985). Google Scholar

6. M. I. Kaganov and V. M. Tsukernik, Sov. Phys. JETP 8, 327 (1959). Google Scholar

7. H. J. Goldsmid, Introduction to Thermoelectricity (Springer, Berlin, 2010). Google Scholar

8. Y. G. Gurevich, O. Y. Titov, G. N. Logvinov, and O. I. Lyubimov, Phys. Rev. B 51, 6999 (1995). CrossRef Google Scholar

9. G. Gonzalez de la Cruz and Y. G. Gurevich, Phys. Rev. B 51, 2188 (1995). CrossRef Google Scholar

10. H. Vargas and L. C. M. Miranda, Phys. Rep. 161, 43 (1988). CrossRef Google Scholar

11. G. S. Nolas, J. Sharp, and J. Goldsmid, Thermoelectrics Basic Principles and New Materials Developments, Springer Series in Material Science (Springer, Berlin, 2001), Vol. 45. Google Scholar

12. A. Mandelis, Principles and Perspectives of Photothermal and Photoacoustic Phenomena (Elsevier, Amsterdam, 1992). Google Scholar

13. E. M. Conwell, âHigh Field Transport in Semiconductors,â Solid State Physics Supplement (Academic Press, New York, 1967), Vol. 9. Google Scholar

14. L. Reggiani, in Hot-Electron Transport in Semiconductors (Springer, Berlin, 1985). CrossRef Google Scholar

15. Y. G. Gurevich and I. N. Volovichev, Phys. Rev. B 60, 7715 (1999). CrossRef Google Scholar

16. N. Balkan (ed.), Hot Electrons in Semiconductors: Physics and Devices (Oxford University Press on Demand, Oxford, 1998). Google Scholar

17. O. Y. Titov, L. P. Bulat, and Y. G. Gurevich, Int. J. Thermophys. 37, 86 (2016). CrossRef Google Scholar

18. T. C. Harman and J. M. Honig, Thermoelectric and Thermo-Magnetic Effects and Applications (McGraw Hill, New York, 1967). Google Scholar

19. G. N. Logvinov, J. E. VelÃ¡zquez, I. M. Lashkevych, and Y. G. Gurevich, Appl. Phys. Lett. 89, 092118 (2006). CrossRef Google Scholar

20. S. M. Sze, Physics of Semiconductor Devices (John Wiley & Sons, New York, 1981). Google Scholar

21. Y. G. Gurevich and I. Lashkevych, Int. J. Thermophys. 34, 341 (2013). CrossRef Google Scholar

22. D. A. Neamen, Semiconductor Physics and Devices (McGraw-Hill, New York, 2003). Google Scholar

23. P. T. Landsberg, Recombination in Semiconductors (Cambridge University, Cambridge, 1991). Google Scholar

24. K. Seeger, Semiconductor Physics (Springer Science & Business Media, Berlin, 2004). Google Scholar

25. W. Shockley and W. T. Read Jr, Phys. Rev. 87, 835 (1952). CrossRef Google Scholar

26. Y. G. Gurevich, J. E. Velazquez-Perez, G. Espejo-LÃ³pez, I. N. Volovichev, and O. Y. Titov, J. Appl. Phys. 101, 023705 (2007). CrossRef Google Scholar

27. V. L. Bonch-Bruevich and S. G. Kalashnikov, Physics of the Semiconductors (VEB Deutscher Verlag der Wissenschaften, Berlin, 1982). Google Scholar

28. I. Ch, B. Rodriguez, B. El Filali, O. Y. Titov, and Y. G. Gurevich, Int. J. Thermophys. 41, 65 (2020). CrossRef Google Scholar

29. I. N. Volovichev, G. N. Logvinov, O. Y. Titov, and Y. G. Gurevich, J. Appl. Phys. 95, 4494 (2004). CrossRef Google Scholar

30. Y. G. Gurevich and I. Lashkevych, Int. J. Thermophys. 35, 375 (2014). CrossRef Google Scholar

31. Y. Gurevich and M. Melendez, Fenomenos de Contacto y sus Aplicaciones en Celdas Solares (Fondo de Cultura Economica, Mexico, 2010). Google Scholar

32. C. Herring, Bell Syst. Tech. J. 28, 401 (1949). CrossRef Google Scholar

33. W. Van Roosbroeck, Phys. Rev. 91, 282 (1953). CrossRef Google Scholar

34. V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasma and Plasma-Like Media (Gosatomizdat, Moscow, 1961). Google Scholar

35. M. A. Lampert and P. Mark, Current Injection in Solids (Academic Press, New York, 1970). Google Scholar

36. M. Kizilyalli, J. Corish, and R. Metselaar, Pure Appl. Chem. 71, 1307 (1999). CrossRef Google Scholar

37. J. Tauc, Photo and Thermoelectric Effects in Semiconductors (Pergamon, Oxford, 1962). Google Scholar

38. Y. G. Gurevich, G. N. Logvinov, O. Y. Titov, and J. Giraldo, Surf. Rev. Lett. 9, 1703 (2002). CrossRef Google Scholar

39. V. F. Gantmakher and I. B. Levinson, Carrier Scattering in Metals and Semiconductors (Modern Problems in Condensed Matter Science, North-Holland, Amsterdam, 1987), Vol. 19. Google Scholar

40. Y. G. Gurevich and G. N. Logvinov, Semicond. Sci. Technol. 20, R57 (2005). CrossRef Google Scholar

41. Y. G. Gurevich and J. E. Velazquez-Perez, Peltier Effect in Semiconductor, Wiley Encyclopedia of Electrical and Electronics Engineering (John Wiley & Sons, 2014). Google Scholar

42. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover, New York, 1984). Google Scholar

43. A. F. Ioffe, Semiconductor Thermoelements and Thermoelectric Cooling (Infosearch, London, 1957). Google Scholar

44. O. Y. Titov, J. Giraldo, and Y. G. Gurevich, Appl. Phys. Lett. 80, 3108 (2002). CrossRef Google Scholar

45. I. N. Volovichev, J. E. Velazquez-Perez, and Yu. G. Gurevich, Solid-State Electronics 52, 1703 (2008). CrossRef Google Scholar

46. I. Lashkevich and Yu. G. Gurevich, Int. J. Thermophys. 32, 1086 (2011). CrossRef Google Scholar

47. L. Shong-Leih, K. Cheng Chih-Hao, and H. Y. Che-Hsien, Int. J. Heat Mass Transf. 85, 455 (2015). CrossRef Google Scholar

48. M. D. Obrenovic, D. R. Lazarevic, E. C. Dolicanin, and M. Vujisic, Nucl. Technol. Radiat. 29, 116 (2014). CrossRef Google Scholar

49. B. Cavric, E. Dolicanin, P. Petronijevic, M. Pejovic, and K. Stankovic, Int. J. Photoenergy 2013, 158792 (2013). CrossRef Google Scholar

50. S. Fara, P. Sterian, L. Fara, M. Iancu, and A. Sterian, Int. J. Photoenergy 2012, 810801 (2012). CrossRef Google Scholar

51. L. Palmisano and G. Di Marco, Int. J. Photoenergy 2012, 419715 (2012). CrossRef Google Scholar

52. D. K. Markushev, D. D. Markushev, S. Galovik, S. Aleksic, D. S. Pantic, and D. M. Todorovic, Facta Univ. Ser. Electronic and Energetics 31, 313 (2018). CrossRef Google Scholar

53. B. S. Yilbas and S. B. Mansoor, Physica B 407, 4643 (2012). CrossRef Google Scholar

54. R. Chavez, S. Angst, J. Hall, F. Maculewicz, J. Stoetzel, H. Wiggers, T. H. Le, N. Van Nong, N. Pryds, G. Span, D. E. Wolf, R. Schmechel, and G. Schiering, J. Phys. D Appl. Phys. 51, 014005 (2018). CrossRef Google Scholar

55. R. Chavez, S. Angst, J. Hall, J. Stoetzel, V. Kessler, L. Bitzer, F. Maculewicz, N. Benson, H. Wiggers, D. Wolf, G. Schierning, and R. Schmechel, J. Electron. Mater. 43, 2376 (2014). CrossRef Google Scholar

56. G. Micard, D. Sommer, G. Hahn, and B. Terheiden, Energy Procedia 124, 113 (2017). CrossRef Google Scholar

57. Y. Bouaanani, P. Baucour, E. Gavignet, and F. Lanzetta, Int. J. Therm. Sci. 134, 440 (2018). CrossRef Google Scholar

58. J. Garrido, A. Casanovas, and J. A. Manzanares, J. Electron. Mater. 48, 5821 (2019). CrossRef Google Scholar