Current carrying states in the lowest Landau level

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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 Ec (the center of the band). The localization length is found to diverage as (E-Ec)-, with =2.40.1, in agreement with previous calculations.

Original languageEnglish (US)
Pages (from-to)1375-1378
Number of pages4
JournalPhysical review letters
Volume68
Issue number9
DOIs
StatePublished - Jan 1 1992

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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