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Supersymmetric Quantum Hall Effect on Fuzzy Supersphere

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arxiv hep-th/0411137 v3 pith:ISSACXVG submitted 2004-11-15 hep-th cond-mat.mes-hall

Kazuki Hasebe This is my paper · ORCID
classification hep-thcond-mat.mes-hall
keywords hallsupersymmetricquantumsuperspherebackgroundchargedconstructedcurrents
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abstract

Supersymmetric quantum Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wavefunction, which is a ground state of a hard-core $OSp(1|2)$ invariant Hamiltonian. We also present excited topological objects, which are fractionally charged deficits made by super Hall currents. Several relations between quantum Hall systems and their supersymmetric extensions are discussed.

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  1. A Quantum Ring in a Nanosphere

    quant-ph 2019-08 reject novelty 4.0 of 10

    An exact solution for a Tan-Inkson quantum ring on a sphere gives closed-form energy eigenvalues and derived persistent currents, with curvature corrections that vanish in the flat-space limit.

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