Abstract
The 2D semimetal consisting of heavy holes and light electrons is studied. The consideration is based on the assumption that electrons are quantized by magnetic field while holes remain classical. We assume also that the interaction between components is weak and the conversion between components is absent. The kinetic equation for holes colliding with quantized electrons is utilized. It has been stated that the inter-component friction and corresponding correction to the dissipative conductivity σ xx do not vanish at zero temperature due to degeneracy of the Landau levels. This correction arises when the Fermi level crosses the Landau level. The statement will keep in force until the degeneracy remains. The limits of kinetic equation applicability were found. We also study the situation of kinetic memory when particles repeatedly return to their meeting points.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Z.D. Kvon, E.B. Olshanetsky, D.A. Kozlov, N.N. Mikhailov, S.A. Dvoretskii, Pis’ma Zh. Exp. Teor. Fiz. 87, 588 (2008) [JETP Lett. 87, 502 (2009)]
E.B. Olshanetsky, Z.D. Kvon, M.V. Entin, L.I. Magarill, N.N. Mikhailov, I.O. Parm, S.A. Dvoretsky, Pis’ma Zh. Exp. Teor. Fiz. 89, 338 (2009) [JETP Lett. 89, 290 (2009)]
V.F. Gantmakher, Y.B. Levinson, Zh. Teor. Eksp. Fiz. 74, 261 (1978) [Sov. Phys.-JETP 47, 133 (1978)]
S. Titeika, Ann. Physik 22, 129 (1935)
E.N. Adams, T.D. Holstein, J. Phys. Chem. Solids 10, 254 (1959)
T. Ando, Y. Uemura, J. Phys. Soc. Jpn 36, 959 (1974)
E.M. Baskin, L.I. Magarill, M.V. Entin, Zh. Teor. Eksp. Fiz. 75, 723 (1978) [Sov. Phys.-JETP 48, 365 (1978)]
M. Fogler, A. Dobin, V. Perel, B. Shklovskii, Phys. Rev. B 56, 6823 (1997)
A.D. Mirlin, J. Wilke, F. Evers, D.G. Polyakov, P. Wolfe, Phys. Rev. Lett. 83, 2801 (1999)
E.M. Baskin, M.V. Entin, Physica B 249, 805 (1998)
D.G. Polyakov, F. Evers, A.D. Mirlin, P. Wolfe, Phys. Rev. B 64, 205306 (2001)
A. Dmitriev, M. Dyakonov, R. Jullien, Phys. Rev. Lett. 89, 266804 (2002)
B.I. Shklovskii, A.L. Efros, Electronic Properties of Doped Semiconductors, edited by B.I. Shklovskii (Springer, 1984), p. 388
M.F. Sykes, J.W. Essam, J. Math. Phys. 5, 1117 (1964)
J.W. Essam, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic, New York, 1983), Vol. 2
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Entin, M.V., Magarill, L.I. Conductivity of 2D multi-component electron gas partially-quantized by magnetic field. Eur. Phys. J. B 81, 225–230 (2011). https://doi.org/10.1140/epjb/e2011-20050-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2011-20050-1