Landauer-type formulas are derived for two-dimensional quantum-Hall transport in the extreme quantum limit (Latin small letter h with strokec) for an arbitrary current through an electron system confined to a channel. For narrow channels the problem is mapped into a one-dimensional ordinary (B=0) transport problem. An expression for the critical current and a description of the breakdown of the dissipationless transport are obtained. We find that it is possible to have quantization of the Hall resistance even when the magnetoresistance is nonzero.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics