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arXiv · 0901.1724

Supersymmetric Quantum Hall Liquid with a Deformed Supersymmetry

Kazuki Hasebe
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Abstract

We construct a supersymmetric quantum Hall liquid with a deformed supersymmetry. One parameter is introduced in the supersymmetric Laughlin wavefunction to realize the original Laughlin wavefunction and the Moore-Read wavefunction in two extremal limits of the parameter. The introduced parameter corresponds to the coherence factor in the BCS theory. It is pointed out that the parameter-dependent supersymmetric Laughlin wavefunction enjoys a deformed supersymmetry. Based on the deformed supersymmetry, we construct a pseudo-potential Hamiltonian whose groundstate is exactly the parameter-dependent supersymmetric Laughlin wavefunction. Though the SUSY pseudo-potential Hamiltonian is parameter-dependent and non-Hermitian, its eigenvalues are parameter-independent and real.

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Kazuki Hasebe. 2010-02-18. Supersymmetric Quantum Hall Liquid with a Deformed Supersymmetry. https://doi.org/10.1134/s1063778810020225

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