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A Four Dimensional Generalization of the Quantum Hall Effect

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arxiv cond-mat/0110572 v1 pith:5CVCHPKD submitted 2001-10-27 cond-mat hep-th

Shou-Cheng Zhang , Jiangping Hu This is my paper · ORCID
classification cond-mathep-th
keywords quantumdimensionaleffectelementaryexcitationsfourgeneralizationhall
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We construct a generalization of the quantum Hall effect, where particles move in four dimensional space under a SU(2) gauge field. This system has a macroscopic number of degenerate single particle states. At appropriate integer or fractional filling fractions the system forms an incompressible quantum liquid. Gapped elementary excitations in the bulk interior and gapless elementary excitations at the boundary are investigated.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Effective field theory of the quantum skyrmion Hall effect

    hep-th 2024-12 conditional novelty 6.0 of 10

    Isospin degrees of freedom encode fuzzy extra dimensions even at small matrix size, so systems with d spatial coordinates can realize topological states of intrinsic dimensionality up to d+δ+1, captured by a generaliz...

  2. N=8 superconformal mechanics: direct construction

    hep-th 2024-11 conditional novelty 6.0 of 10

    Explicit supercharges and Hamiltonians are constructed for all N=8 superconformal mechanics variants associated with osp(8|2), F(4), osp(4*|4), and su(1,1|4).

  3. Bose-Einstein condensation and superfluidity on a fuzzy sphere

    cond-mat.quant-gas 2026-07 reject novelty 4.0 of 10

    The paper derives enhanced BEC and a Uemura-like linear-in-T superfluid density on a fuzzy sphere, but the enhancement is a finite-mode artifact and the linear-T claim rests on an incorrect large-R expansion.

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