Abstract
In order to reveal the effects of disorder in the vicinity of the apparent metal-insulator transition in 2D, we studied electron transport in the same Si device after cooling it down to 4 K at different fixed values of the gate voltage V cool. Different V cool did not significantly modify either the momentum relaxation rate or the strength of electron-electron interactions. However, temperature dependences of the resistance and the magnetoresistance in parallel magnetic fields in the vicinity of the 2D metal-insulator transition carry a strong imprint of the quenched disorder determined by V cool. This demonstrates that the observed transition between the metallic and insulating regimes, besides the universal effects of electron-electron interaction, depends on the sample-specific localized states (disorder). We report on evidence for a weak exchange of electrons between the reservoirs of extended and resonant localized states that occur at low densities. The strong cool-down dependent variations of ρ(T), we believe, are evidence for a developing spatially inhomogeneous state in the critical regime.
Similar content being viewed by others
References
E. Abrahams, S. Kravchenko, and M. P. Sarachik, Rev. Mod. Phys. 73, 251 (2001).
For a review, see: B. L. Altshuler and A. G. Aronov, in Electron-Electron Interactions in Disordered Systems, Ed. by A. L. Efros and M. Pollak (Elsevier, Amsterdam, 1985); P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
G. Zala, B. N. Narozny, and I. L. Aleiner, Phys. Rev. B 64, 214204 (2001); 65, 020201(R) (2002).
I. V. Gornyi and A. D. Mirlin, Phys. Rev. B 69, 045313 (2004).
S. Das Sarma and E. H. Hwang, Phys. Rev. Lett. 83, 164 (1999).
A. M. Finkelstein, in Soviet Scientific Reviews, Ed. by I. M. Khalatnikov (Harwood Academic, London, 1990), Vol. 14, p. 3.
C. Castellani, C. Di Castro, P. A. Lee, and M. Ma, Phys. Rev. B 30, 527 (1984); C. Castellani, G. Kotliar, and P. A. Lee, Phys. Rev. Lett. 59, 323 (1987); C. Castellani, C. Di Castro, H. Fakuyama, et al., Phys. Rev. B 33, 7277 (1986); C. Castellani, C. Di Castro, and P. A. Lee, Phys. Rev. B 57, R9381 (1998).
A. Punnoose and A. M. Finkelstein, Phys. Rev. Lett. 88, 016802 (2002).
V. M. Pudalov, M. Gershenson, H. Kojima, et al., Phys. Rev. Lett. 88, 196404 (2002).
Y. Y. Proskuryakov, A. K. Savchenko, S. S. Safonov, et al., Phys. Rev. Lett. 89, 076406 (2002).
V. M. Pudalov, M. Gershenson, H. Kojima, et al., Phys. Rev. Lett. 91, 126403 (2003).
S. A. Vitkalov, K. James, B. N. Narozhny, et al., Phys. Rev. B 67, 113310 (2003).
J. Zhu, H. L. Stormer, L. N. Pfeiffer, et al., Phys. Rev. Lett. 90, 056805 (2003).
N. F. Mott, Metal-Insulator Transitions (Taylor and Francis, London, 1974; Nauka, Moscow, 1979).
V. I. Kozub and N. V. Agrinskaya, Phys. Rev. B 64, 245103 (2001).
T. M. Klapwijk and S. Das Sarma, Solid State Commun. 110, 581 (1999).
B. L. Altshuler and D. L. Maslov, Phys. Rev. Lett. 83, 2092 (1999).
V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, cond-mat/0103087.
V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, Phys. Rev. Lett. 88, 076401 (2002).
V. M. Pudalov, G. Brunthaler, A. Prinz, and G. Bauer, JETP Lett. 68, 442 (1998).
V cool determines the depth of the confining potential well and, simultaneously, the number of interface traps sunk under the Fermi level. At low temperatures, as V g is varied, the potential well remains almost unchanged and memorizes an imprint of the disorder formed during its cooling down.
Sample Si6-14 with 190 nm thick gate oxide was fabricated on (001)-Si wafer and had a rectangular channel 2.5 × 0.25 mm oriented along [010].
For a review see, T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
A. Gold and W. Götze, Phys. Rev. B 33, 2495 (1986).
B. L. Altshuler, D. L. Maslov, and V. M. Pudalov, Physica E (Amsterdam) 9, 209 (2001).
O. Prus, M. Reznikov, U. Sivan, and V. Pudalov, Phys. Rev. Lett. 88, 016801 (2002).
S. A. Vitkalov, M. P. Sarachik, and T. M. Klapwijk, Phys. Rev. B 65, 201106 (2002).
A. Gold and V. T. Dolgopolov, Phys. Rev. Lett. 89, 129701 (2002).
A. Yu. Kuntsevich, D. A. Knyazev, V. I. Kozub, et al., Pis’ma Zh. Éksp. Teor. Fiz. 81, 502 (2005) [JETP Lett. 81, 409 (2005)].
A. Lewalle, M. Pepper, C. J. B. Ford, et al., cond-mat/0108244.
Y. Meir, Phys. Rev. Lett. 83, 3506 (1999).
A. V. Kornilov, V. M. Pudalov, Y. Kitaoka, et al., Phys. Rev. B 69, 224404 (2004).
B. Spivak, Phys. Rev. B 64, 085317 (2001).
Author information
Authors and Affiliations
Additional information
From Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 82, No. 6, 2005, pp. 412–417.
Original English Text Copyright © 2005 by Pudalov, Gershenson, Klimov, Kojima.
The text was submitted by the authors in English.
A member of the editorial board of the journal JETP Letters 2000.
Rights and permissions
About this article
Cite this article
Pudalov, V.M., Gershenson, M.E., Klimov, N.N. et al. Quenched disorder effects in electron transport in Si inversion layers in the dilute regime. Jetp Lett. 82, 371–376 (2005). https://doi.org/10.1134/1.2137375
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.2137375