The redistribution of charge, which generates the Hall voltage, cannot occur only at the edges in a two-dimensional system but must occur in the bulk. Using a Hartree approximation we derive a self-consistent equation which describes the charge, current, and Hall voltage distributions in a two-dimensional electron gas with filled Landau levels. These distributions are weighted toward the sample edges with a decay length into the bulk which depends on sample size and magnetic field strength.
|Original language||English (US)|
|Number of pages||3|
|Journal||Physical Review B|
|State||Published - Jan 1 1983|
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics