Abstract
The Kubo formula was used to derive a general expression for static electrical conductivity in a magnetic field directed parallel to the surface of a parabolic quantum well. Conditions for the applicability of the relaxation-time approximation for the calculation of the correlation functions were formulated using the cumulant-averaging method. The tensors of longitudinal and transverse conductivities in the dimensionally confined system under consideration, with allowance made for the interaction of electrons with acoustic and optical vibrations, were calculated. It is shown that the transverse conductivity in quantum-well systems is much higher (by several orders of magnitude) than in the bulk samples. The dependence of longitudinal conductivity on the magnetic field was studied for a highly degenerate electron gas.
Similar content being viewed by others
References
D. G. Cantrell and P. N. Butcher, J. Phys. C 18, L587 (1985).
B. E. Sernelius, K.-F. Berggren, M. Tamak, and C. Mc. Fadden, J. Phys. C 18, 225 (1985).
D. G. Cantrell and P. N. Butcher, J. Phys. C 18, 5111 (1985).
Hui Tang and P. N. Butcher, J. Phys. C 21, 3313 (1988).
E. Yu. Safronov and E. P. Sinyavskii, Phys. Status Solidi B 180, 377 (1993).
V. A. Geiler, V. A. Margulis, and L. I. Filina, Zh. Éksp. Teor. Fiz. 113, 1376 (1998) [JETP 86, 751 (1998)].
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).
B. A. Tavger and M. Sh. Erukhimov, Zh. Éksp. Teor. Fiz. 51, 528 (1966) [Sov. Phys. JETP 24, 354 (1967)].
E. P. Sinyavskii, S. M. Sokovnich, and F. I. Pasechnik, Phys. Status Solidi B 209, 55 (1998).
É. P. Sinyavskii and E. I. Grebenshchikova, Zh. Éksp. Teor. Fiz. 116, 2069 (1999) [JETP 89, 1120 (1999)].
É. P. Sinyavskii and E. I. Grebenshchikova, Zh. Éksp. Teor. Fiz. 119(3), 527 (2001) [JETP 92, 493 (2001)].
R. Kubo, J. Phys. Soc. Jpn. 17, 1100 (1962).
P. J. Peters, P. Schehzger, M. J. Lea, et al., Phys. Rev. B 50, 11570 (1994).
X. L. Lei, J. Phys. C 18, L993 (1985).
B. M. Askerov, Kinetic Effects in Semiconductors (Nauka, Leningrad, 1970), p. 303.
M. Shayegan, T. Sajoto, M. Santos, and C. Silvestre, Appl. Phys. Lett. 53, 791 (1988).
A. I. Anselm, Introduction to Semiconductor Theory (Nauka, Moscow, 1978; Prentice-Hall, Englewood Cliffs, 1981).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika i Tekhnika Poluprovodnikov, Vol. 36, No. 8, 2002, pp. 989–992.
Original Russian Text Copyright © 2002 by Sinyavskii, Khamidullin.
Rights and permissions
About this article
Cite this article
Sinyavskii, E.P., Khamidullin, R.A. Special features of electrical conductivity in a parabolic quantum well in a magnetic field. Semiconductors 36, 924–928 (2002). https://doi.org/10.1134/1.1500473
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1500473