Hofstadter problem in higher dimensions

Taro Kimura

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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 languageEnglish
Article number103B05
JournalProgress of Theoretical and Experimental Physics
Issue number10
Publication statusPublished - 2014 Jul 2
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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