Hofstadter problem in higher dimensions

Taro Kimura

doi:10.1093/ptep/ptu144

Hofstadter problem in higher dimensions

Taro Kimura

Faculty of Economics

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

3 Citations (Scopus)

Abstract

We investigate some generalizations of the Hofstadter problem to higher dimensions with Abelian and non-Abelian gauge field configurations. We numerically show the hierarchical structure in the energy spectra with several lattice models. We also point out the equivalence between the \pi-flux state and the staggered formalism of the Dirac fermion.

Original language	English
Article number	103B05
Journal	Progress of Theoretical and Experimental Physics
Volume	2014
Issue number	10
DOIs	https://doi.org/10.1093/ptep/ptu144
Publication status	Published - 2014 Jul 2

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1093/ptep/ptu144

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Hofstadter problem in higher dimensions

Abstract

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