Magnetoresistance and Hall effect in a disordered two-dimensional electron gas
Abstract
Two models of disorder in two dimensions are discussed. The first is a localization theory that treats noninteracting particles by perturbation theory in the weak scattering limit. A weak magnetic field is found to have strong effects on the previously predicted logarithmic rise in resistivity at low temperatures. No logarithmic divergence is found for the Hall constant. A second model treats the disorder scattering by conventional diagramatic technique but includes the effects of interactions. In a short communication it has previously been reported that the resistivity and Hall constant both show a logarithmic increase at low temperatures. The details of the calculation are reported here, together with an extension to thin wires which shows a T-12 divergence in the resistivity.
- Publication:
-
Physical Review B
- Pub Date:
- December 1980
- DOI:
- 10.1103/PhysRevB.22.5142
- Bibcode:
- 1980PhRvB..22.5142A