Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects

O. G. Balev

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Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects

O. G. Balev

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Abstract

At filling factor $ν=1/m$, $m$ odd integer, I present variational ground-state and excited-state wave functions, of two-dimensional electron system with homogeneous ion background, that show the condensation into a liquid-crystal state. For $m=1, 3, 5$, the ground-state energy per electron is substantially lower than the Laughlin one, for uniform liquid state.

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O. G. Balev. 2005-06-27. Liquid-Crystal State of $ν=1/m$ Quantum Hall Effects. https://arxiv.org/abs/cond-mat/0501507

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