G. N. Logvinov¹, Oscar Angeles Fragoso¹, Yu. G. Gurevich*²

¹ México, DF, México. Instituto Politécnico Nacional, Sección de Estudios de Posgrado e Investigación, Av. Santa Ana, 1000

² Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000, *e-mail: gurevich@fis.cinvestav.mx

Recibido: 15 de marzo de 2007.
Aceptado: 15 de mayo de 2007.

Resumen

Se presenta un estudio comprensivo de los mecanismos de calentamiento y enfriamiento originados por una corriente eléctrica en un dispositivo semiconductor. Los autores analizan los efectos de Peltier, Joule y Thomson en la aproximación de corrientes eléctricas débiles. Se ofrece una nueva interpretación y formulación del efecto Thomson.

Cierta atención se presta a algunas cuestiones de termodinámica fuera de equilibrio de los fenómenos termoeléctrico y electrotérmico que exigen ciertas especificaciones.

Palabras clave: Efecto Seebeck; Efecto Peltier; Efecto Thomson; Ecuación de balance de calor.

Abstract

A comprehensive study of the mechanisms of heating and cooling originated by the electrical current in semiconductor devices is reported. The authors study the Peltier, Joule and Thomson phenomena self-consistently in approximation of a weak electric current. A new formulation and interpretation of the Thomson effect are offered. Along with new results, a certain attention is paid to some questions of nonequilibrium thermodynamics of thermoelectric and electrothermic phenomena, which demand some definition.

Keywords: Seebeck effect; Peltier effect; Thomson effect; Heat balance equation.

Agradecimientos

Este trabajo es llevado a cabo dentro del marco de proyectos del Consejo Nacional de Ciencia y Tecnología (CONACyT, México: 46261-F (Prof. Yuri G. Gurevich) y 49715-F (Prof. G. N. Logvinov)).

Referencias

[1] Thermoelectrics Handbook: Macro to Nano, edited by D. M. Rowe Taylor & Francis, London/CRC, Boca Raton, FL, 2006        [ Links ]

[2] G.N.Logvinov, J.E.Velázquez, I.M.Lashkevich, and Yu.G.Gurevich, Appl. Phys. Let., 89, 092118 2006.         [ Links ]

[3] Yu. G. Gurevich and G. N. Logvinov, Semicond. Sci. Technol. 20, R57 2005.         [ Links ]

[4] L. D. Landau and E. M. Lifshitz, Electrodynamics and Continuous Media, Course of Theoretical Physics Vol. 8 Pergamon, New York, 2001        [ Links ]

[5] I. P. Bazarov, Thermodynamics, Moscow, Vysshaya Shkola, 1991 (in Russian).         [ Links ]

[6] A. G. Samoilovich and L. L. Korenblit, Uspekhi Fiz. Nauk, Ussues, 2,3 p. 337 1953. (in Russian), German version: Fortschr. Physic. 1, 486 1953        [ Links ]

[7] V. L. Bonch-Bruevich, S. G. Kalashnikov, Physics of the Semiconductor,VEB Deutscher Verlag der Wissenschaften, 1982, Pages 634, Addres: Berlin: in German.         [ Links ]

[8] F. G. Bass, V. S. Bochkov, Yu. G. Gurevich, Electrons and Phonons in Bounded Semiconductors, Moscow, "Nauka", 1984 (in Russian).         [ Links ]

[9] Jan Tauc, Photo and Thermoelectrics Effects in Semiconductors, Pergamon Press, New York-Oxford-London-Paris, 1962.         [ Links ]

[10] L. A. Girifalco, Statistical Mechanics of Solids, Oxford University Press, 2000.         [ Links ]

[11] H. B. Callen, Phys,. Rev 73, No. 11, 1349 (1948).         [ Links ]

[12] H. B. Callen, Thermodynamics, John Willy & Sons, INC New York, London 1960        [ Links ]

[13] J. R. Drabble and H. J. Goldsmid, Thermal Conduction in Semiconductors, Pergamon Press, Oxford-London-New York-Paris 1961.         [ Links ]

[14] Istvan Gyarmati, Non-Equilibrium Thermodynamics, Field Theory and Variational Principles, Springer-Verlag, Berlin-Heldelberg-New York 1970.         [ Links ]

[15] L. Onsager, Phys. Rev, 37, 405 1931; 38, 2265 1931        [ Links ]

[16] R. R. Heikes and R. W. Ure, Thermoelectricity: Science and Engineering, Interscience Publisher, New York-London 1961.         [ Links ]

[17] Yu. G. Gurevich, J. E. Velázquez-Pérez, Gabino Espejo-López, I. N. Volovichev, O. Yu. Titov, J. Appl. Phys. 101, 023705 2007.         [ Links ]

[18] I. N. Volivichev, G. N. Logvinov, G. N. Logvinov, O. Yu. Titov, and Yu. G. Gurevich, J. Appl. Phys. 95, 4494 2004.         [ Links ]

[19] Yu. G. Gurevich, O. Yu. Titov, G. N. Logvinov, and O. I. Lyubinov, Phys. Rev. B 51, 6999 1995.         [ Links ]

[20] A. I. Anselm, Introduction to Semiconductor Theory, Prentice-Hall, Englewood Cliffs 1981.         [ Links ]