Mean-field phase diagram of two-dimensional electrons with disorder in a weak magnetic field
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. In the framework of the Hartree-Fock approximation, we obtain the mean-field phase diagram for the partially filled highest Landau level. We find that the charge-density-wave (CDW) state can exist if the Landau level broadening 1/2τ does not exceed the critical value 1/2τc=4T0/π, where T0 is the critical temperature of the CDW formation in the clean case. Our analysis of weak crystallization corrections to the mean-field results shows that these corrections are of the order of (1/ν)2/3≪1 and therefore can be neglected.
- Publication:
-
Physical Review B
- Pub Date:
- October 2003
- DOI:
- 10.1103/PhysRevB.68.155328
- arXiv:
- arXiv:cond-mat/0301141
- Bibcode:
- 2003PhRvB..68o5328B
- Keywords:
-
- 72.10.-d;
- Theory of electronic transport;
- scattering mechanisms;
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- Phys. Rev. B 68, 155328 (2003)