Anisotropic conductivity tensor on a half-filled high Landau level
Abstract
We study two-dimensional interacting electrons in a weak perpendicular magnetic field with the filling factor ν≫1 and in the presence of a quenched disorder. As it is known, the unidirectional charge density wave state can exist near a half-filled high Landau level at low temperatures if disorder is weak enough. We show that the existence of the unidirectional charge density wave state at temperature T<Tc where Tc is the transition temperature leads to the anisotropic conductivity tensor. We find that the anisotropic part of conductivity tensor is proportional to (Tc-T)/Tc below the transition. The order parameter fluctuations wash out the mean-field cusp at T=Tc and the conductivity tensor becomes anisotropic even above the mean-field transition temperature Tc .
- Publication:
-
Physical Review B
- Pub Date:
- January 2005
- DOI:
- 10.1103/PhysRevB.71.035331
- arXiv:
- arXiv:cond-mat/0405162
- Bibcode:
- 2005PhRvB..71c5331B
- Keywords:
-
- 72.10.-d;
- Theory of electronic transport;
- scattering mechanisms;
- Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- RevTeX, 13 pages, 6 figures