Hall coefficient in an interacting electron gas
Abstract
The Hall conductivity in a weak homogeneous magnetic field, ωcτ≪1, is calculated. We have shown that to leading order in 1/ɛFτ the Hall coefficient RH is not renormalized by the electron-electron interaction. Our result explains the experimentally observed stability of the Hall coefficient in a dilute electron gas not too close to the metal-insulator transition. We avoid the currently used procedure that introduces an artificial spatial modulation of the magnetic field. The problem of the Hall effect is reformulated in a way such that the magnetic flux associated with the scattering process becomes the central element of the calculation.
- Publication:
-
Physical Review B
- Pub Date:
- October 2003
- DOI:
- 10.1103/PhysRevB.68.155114
- arXiv:
- arXiv:cond-mat/0212628
- Bibcode:
- 2003PhRvB..68o5114K
- Keywords:
-
- 72.10.-d;
- 71.30.+h;
- 71.10.Ay;
- Theory of electronic transport;
- scattering mechanisms;
- Metal-insulator transitions and other electronic transitions;
- Fermi-liquid theory and other phenomenological models;
- Strongly Correlated Electrons
- E-Print:
- 23 pages, 15 figures