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Current carrying states in the lowest Landau level
Abstract
We have performed numerical calculations for noninteracting electrons in two dimensions in the high-magnetic-field (lowest-Landau-level) limit in the presence of a random potential. By identifying the first Chern character of each eigenstate, we show directly from the data for sizes varying from scrN=8 flux quanta to scrN=128 that the lowest Landau level has extended eigenstates only at a single energy ${\mathit{E}}_{\mathit{c}}$ (the center of the band). The localization length \ensuremath{\xi} is found to diverage as (E-${\mathit{E}}_{\mathit{c}}$${)}^{\mathrm{\ensuremath{-}}\ensuremath{\nu}}$, with \ensuremath{\nu}=2.4\ifmmode\pm\else\textpm\fi{}0.1, in agreement with previous calculations.
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Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
Halperin, B. I. (1982) · Physical Review B · doi:10.1103/physrevb.25.2185 · Cited by 2,547
Cited by
Localization: theory and experiment
Kramer, B., & MacKinnon, A. (1993) · Reports on Progress in Physics · doi:10.1088/0034-4885/56/12/001 · Cited by 1,926
Theory of the half-filled Landau level
Halperin, B. I., Lee, P. A., & Read, N. (1993) · Physical Review B · doi:10.1103/physrevb.47.7312 · Cited by 1,739
Amorphous topological insulators constructed from random point sets
Mitchell, N. P., Nash, L. M., Hexner, D., Turner, A. M., & Irvine, W. T. M. (2018) · Nature Physics · doi:10.1038/s41567-017-0024-5 · Cited by 313
Metadata
- Authors
- Huo, Y., & Bhatt, R. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-03-02
- Volume
- 68
- Issue
- 9
- Pages
- 1375-1378
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2088840470
- Cited by
- 172
- References
- 2
- FWCI
- 12.42
- Type
- journal article
- Language
- en
- Open access
- closed
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