Abstract
A quantum kinetic equation for disordered structures is derived using the Kadanoff-Baym technique. The nonlocal nature of the collision integral and the influence of the external field are taken into account by the generalized Kadanoff-Baym ansatz (GKB ansatz). The collision integral is explicitly constructed for the substitional AxB1−x binary alloy system.
Similar content being viewed by others
Literature cited
P. W. Anderson, E. Abrahams, and T. V. Ramakrishnan, Phys. Rev. Lett.,43, 718 (1979).
L. P. Gor'kov, A. I. Larkin, and D. E. Khmel'nitskii, Pis'ma Zh. Eksp. Teor. Fiz.,30, No. 4, 248 (1979).
L. V. Keldysh, Zh. Eksp. Teor. Fiz.,47, No. 5, 1515 (1964).
B. L. Al'tshuler (Altshuler), A. C. Aronov, D. E. Khmel'nitskii (Khmelnitski) and A.I. Larkin, in: Quantum Theory of Solids [Russian translation], I. M. Lifshits (ed.), Mir, Moscow (1982).
V. K. Dugaev and D. E. Khmel'nitskii, Zh. Eksp. Teor. Fiz.,90, No. 5, 1871 (1986).
V. P. Seminozhenko and A. A. Yatsenko, Teor. Mat. Fiz.,47, No. 2, 277 (1981).
V. P. Seminozhenko and A. A. Yatsenko, Problems in Theoretical Physics [in Russian], Naukova Dumka, Kiev (1986).
L. Kadanoff and G. Baym, Quantum Statistical Mechanics, Benjamin, New York (1962).
D. C. Langreth and J. W. Wilkins, Phys. Rev. B,6, 3189 (1972).
A. Yu. Zakharov and Yu. M. Ivanchenko, Fiz. Nizk. Temp.,4, No. 1, 41 (1978).
W. Hanch and G. D. Mahan, Phys. Rev. B,28, 1886 (1983).
A. P. Jacmo and J. W. Wilkins, Phys. Rev. B,29, 1919 (1983).
S. Herchfield and V. Ambegaokar, Phys. Rev. B,34, 2147 (1986).
P. Lipavsky, V. Spicak, and B. Velisky, Phys. Rev. B,34, 6933 (1986).
R. P. Meilanov, Dissertation for the Candidate of Physicomathematical Sciences degree, Leningrad State university, Leningrad, 1977.
D. N. Zubarev, Usp. Fiz. Nauk,71, No. 1, 71 (1960).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 14–20, May, 1989.
Rights and permissions
About this article
Cite this article
Meilanov, R.P. Generalized quantum kinetic equation for conducting disordered media. Soviet Physics Journal 32, 331–336 (1989). https://doi.org/10.1007/BF00895310
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00895310