Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
Abstract
We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase, which is stabilized by electronic interactions, from the insulating phase, where disorder prevails over the electronic interactions, has been identified. The existence of the quantum critical point leads to a divergence in the density of states of the underlying collective modes at the transition, causing the thermodynamic properties to behave critically as the transition is approached. We show that the interplay of electron-electron interactions and disorder can explain the observed transport properties and the anomalous enhancement of the spin susceptibility near the metal-insulator transition.
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References and Notes
1
B. Tanatar, D. M. Ceperely, Phys. Rev. B39, 5005 (1989).
2
S. V. Kravchenko, G. V. Kravchenko, J. E. Furneaux, V. M. Pudalov, M. D'Iorio, Phys. Rev. B50, 8039 (1994).
3
E. Abrahams, P. W. Anderson, D. C. Licciardello, T. V. Ramakrishnan, Phys. Rev. Lett.42, 673 (1979).
4
S. V. Kravchenko, M. P. Sarachik, Rep. Prog. Phys.67, 1 (2004).
5
O. Prus, Y. Yaish, M. Reznikov, U. Sivan, V. M. Pudalov, Phys. Rev. B67, 205407 (2003).
6
A. A. Shashkinet al., http://xxx.lanl.gov/abs/cond-mat/0409100.
7
B. L. Altshuler, A. G. Aronov, Modern Problems in Condensed Matter Physics (Elsevier, North Holland, 1985), chap. X, p. 1.
8
A. M. Finkel'stein, Sov. Phys. J. Exp. Theor. Phys.57, 97 (1983).
9
A. M. Finkel'stein, J. Exp. Theor. Phys. Lett.37, 517 (1983).
10
B. L. Altshuler, A. G. Aronov, P. A. Lee, Phys. Rev. Lett.44, 1288 (1980).
11
A. M. Finkel'stein, Z. Phys. B56, 189 (1984).
12
C. Castellani et al., Phys. Rev. B30, 1596 (1984).
13
M. A. Baranov, I. S. Burmistrov, A. M. M. Pruisken, Phys. Rev. B66, 075317 (2002).
14
For example, the electron band in the (001) plane in Si-MOSFET has two valleys.
15
A. Punnoose, A. M. Finkel'stein, Phys. Rev. Lett.88, 016802 (2002).
16
K. G. Wilson, Phys. Rev. D7, 2911 (1973).
17
K. B. Efetov, Sov. Phys. J. Exp. Theor. Phys.55, 514 (1982).
18
The important question of which of the attractive separatrices are crossed at the transition can be resolved by magnetoresistance measurements in a weak in-plane magnetic field.
19
S. V. Kravchenko, T. M. Klapwijk, Phys. Rev. Lett.84, 2909 (2000).
20
See figure 3 in (4).
21
C. Castellani, C. D. Castro, Phys. Rev. B34, 5935 (1986).
22
C. Castellani, G. Kotliar, P. A. Lee, Phys. Rev. Lett.59, 323 (1987).
23
S. C. Dultz, H. W. Jiang, Phys. Rev. Lett.84, 4689 (2000).
24
S. Ilani, A. Yacoby, D. Mahalu, H. Shtrikman, Science292, 1354 (2001).
25
A.P. benefited from discussions with R. Whitney. A.F. was supported by the MINERVA Foundation.
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Science
Volume 310 | Issue 5746
14 October 2005
14 October 2005
Copyright
American Association for the Advancement of Science.
Submission history
Received: 2 June 2005
Accepted: 15 September 2005
Published in print: 14 October 2005
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