Mean-field Phase Diagram of Two-Dimensional Electrons with Disorder in a Weak Magnetic Field

Details Mean-field Phase Diagram of Two-Dimensional Electrons with Disorder in a Weak Magnetic Field Mean-field Phase Diagram of Two-Dimensional Electrons with Disorder in a Weak Magnetic Field

2003-01-10

arxiv.org/abs/cond-mat/0301141v1

Phys. Rev. B 68, 155328 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.68.155328

We study two-dimensional interacting electrons in a weak perpendicular magnetic field with the filling factor $\nu \gg 1$ 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 CDW state can exist if the Landau level broadening $1/2\tau $ does not exceed the critical value $1/2\tau_{c}=0.038\omega_{H}$. Our analysis of weak crystallization corrections to the mean-field results shows that these corrections are of the order of $(1/\nu)^{2/3}\ll 1$ and therefore can be neglected.

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