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Volumn 52, Issue 8, 1995, Pages 5858-5862

Electron localization in a two-dimensional system with random magnetic flux

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000886680 PISSN: 01631829 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevB.52.5858 Document Type: Article

Times cited : (38)

References (25)

1
- 84927992608
- Present address: The James Franck Institute, The University of Chicago, Chicago, IL 60637.

2
- 84927992607
- Present and permanent address: Department of Physics, Oklahoma State University, Stillwater, OK 74078.

3
- 0003414482
- For a review, see, edited by, R.E. Prange, S.M. Girvin, Springer Verlag, New York
- (1990) The Quantum Hall Effect

6
- 35949007557
- and references therein. This work shows that for the short range impurity electron interaction, the localization length exponents ν are different for different Landau levels;
- (1994) Phys. Rev. B , vol.49 , pp. 2677
- Liu, D.Z.¹ Das Sarma, S.²

7
- 84927992606
- however, they are the same for long range interactions. Also, the localization transition is universal in the sense that it is independent of the disorder strength.

9
- 84927992605
- After taking into account the finite size corrections to scaling laws, the exponent ν is found to be universal for different Landau levels in this paper.

13
- 0000215807
- (1992) Phys. Rev. B , vol.46 , pp. 9889
- Kalmeyer, V.¹ Zhang, S.C.²

15
- 0347940353
- (1990) Phys. Rev. Lett. , vol.64 , pp. 2450
- Nagaosa, N.¹ Lee, P.A.²

16
- 0001077985
- Localization, Nonlinear σ Model and String Theory
- (1992) Progress of Theoretical Physics Supplement , vol.107 , pp. 213
- Hikami, S.¹

17
- 3342946423
- (1994) Phys. Rev. Lett. , vol.72 , pp. 1886
- Zhang, S.C.¹ Arovas, D.²

18
- 0000004553
- (1993) Phys. Rev. Lett. , vol.70 , pp. 1980
- Sugiyama, T.¹ Nagaosa, N.²

19
- 0001028396
- (1994) Phys. Rev. Lett. , vol.72 , pp. 1510
- Lee, D.K.K.¹ Chalker, J.T.²

25
- 84927992603
- It is easy to see, however, that our numerical results for the localization length (Fig. 1) are incompatible with the perturbative renormalization group theoretic result of Refs. 11 and 17 which predict all states to be localized in the system with a localization length given by ξ (E)= exp [r2g2(E)] where g(E) is the mean field conductance. Our largest system sizes are larger than the ξ (E) predicted by this formula around E agt -3.0, and, therefore, our finding of a mobility edge around Ec approx -3.0 may have some significance transcending the conclusion of Ref. 13.

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