Anisotropic conductivity tensor on a halffilled high Landau level
Abstract
We study twodimensional 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 halffilled 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<T_{c} where T_{c} is the transition temperature leads to the anisotropic conductivity tensor. We find that the anisotropic part of conductivity tensor is proportional to (T_{c}T)/T_{c} below the transition. The order parameter fluctuations wash out the meanfield cusp at T=T_{c} and the conductivity tensor becomes anisotropic even above the meanfield transition temperature T_{c} .
 Publication:

Physical Review B
 Pub Date:
 January 2005
 DOI:
 10.1103/PhysRevB.71.035331
 arXiv:
 arXiv:condmat/0405162
 Bibcode:
 2005PhRvB..71c5331B
 Keywords:

 72.10.d;
 Theory of electronic transport;
 scattering mechanisms;
 Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 RevTeX, 13 pages, 6 figures