Anisotropy in the Compressible Quantum Hall State
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
Using a mean field theory on the von Neumann lattice, we study compressible anisotropic states around 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.
Cite
@article{arxiv.cond-mat/9911231,
title = {Anisotropy in the Compressible Quantum Hall State},
author = {Nobuki Maeda},
journal= {arXiv preprint arXiv:cond-mat/9911231},
year = {2009}
}
Comments
4 pages, to appear in the proceedings of The Tenth International Conference on Recent Progress in Many-Body Theories Seattle, September 10 - 15, 1999