# Hofstadter problem in higher dimensions

Taro Kimura

Research output: Contribution to journalArticlepeer-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 103B05 Progress of Theoretical and Experimental Physics 2014 10 https://doi.org/10.1093/ptep/ptu144 Published - 2014 Jul 2

## ASJC Scopus subject areas

• Physics and Astronomy(all)

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