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 language | English (US) |
|---|---|
| Pages (from-to) | 1375-1378 |
| Number of pages | 4 |
| Journal | Physical review letters |
| Volume | 68 |
| Issue number | 9 |
| DOIs | |
| State | Published - 1992 |
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy