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arXiv · 1210.6355

Hofstadter problem in higher dimensions

Taro Kimura
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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. It is also pointed out the equivalence betwee the \pi-flux state and the staggered formalism of Dirac fermion.

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Taro Kimura. 2012-10-23. Hofstadter problem in higher dimensions. https://doi.org/10.1093/ptep/ptu144

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