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Anisotropy in the Compressible Quantum Hall State

Nobuki Maeda
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Abstract

Using a mean field theory on the von Neumann lattice, we study compressible anisotropic states around $ν=l+1/2$ 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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Nobuki Maeda. 1999-11-16. Anisotropy in the Compressible Quantum Hall State. https://doi.org/10.1142/s0217979201005854

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