The lattice gas model of fractional quantum hall effect

Baruch Rosenstein; I. D. Vagner

doi:10.1016/0375-9601(86)90063-0

The lattice gas model of fractional quantum hall effect

Baruch Rosenstein^*, I. D. Vagner

^*Corresponding author for this work

Department of Electrophysics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The two-dimensional interacting electron gas under a strong homogeneous magnetic field is approximated by the one-dimensional classical lattice gas. We show that in our model the eigenstates of the system approach single-particle Slater determinants in the large particle number limit. Cusps in the energy of our model are found at simple fractional occupations.

Original language	English
Pages (from-to)	395-398
Number of pages	4
Journal	Physics Letters A
Volume	116
Issue number	8
DOIs	https://doi.org/10.1016/0375-9601(86)90063-0
State	Published - 7 Jul 1986

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title = "The lattice gas model of fractional quantum hall effect",

abstract = "The two-dimensional interacting electron gas under a strong homogeneous magnetic field is approximated by the one-dimensional classical lattice gas. We show that in our model the eigenstates of the system approach single-particle Slater determinants in the large particle number limit. Cusps in the energy of our model are found at simple fractional occupations.",

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AU - Vagner, I. D.

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AB - The two-dimensional interacting electron gas under a strong homogeneous magnetic field is approximated by the one-dimensional classical lattice gas. We show that in our model the eigenstates of the system approach single-particle Slater determinants in the large particle number limit. Cusps in the energy of our model are found at simple fractional occupations.

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DO - 10.1016/0375-9601(86)90063-0

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SN - 0375-9601

VL - 116

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JO - Physics Letters A

JF - Physics Letters A

IS - 8

ER -

The lattice gas model of fractional quantum hall effect

Abstract

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