Anisotropy in the Compressible Quantum Hall State

Details Anisotropy in the Compressible Quantum Hall State Anisotropy in the Compressible Quantum Hall State

1999-11-16

arxiv.org/abs/cond-mat/9911231v1

Int. Jour. of Mod. Phys. B 15 (2001) 1373

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, to appear in the proceedings of The Tenth International Conference on Recent Progress in Many-Body Theories Seattle,

Scientific paper

10.1142/S0217979201005854

Using a mean field theory on the von Neumann lattice, we study compressible anisotropic states around $\nu=l+1/2$ in the quantum Hall system. The Hartree-Fock energy of the UCDW are calculated self-consistently. In these states the unidirectional charge density wave (UCDW) seems to be the most plausible state. We show that the UCDW is regarded as a collection of the one-dimensional lattice fermion systems which extend to the uniform direction. The kinetic energy of this one-dimensional system is induced from the Coulomb interaction term and the self-consistent Fermi surface is obtained.

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