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Hofstadter problem in higher dimensions

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 π-flux state and the staggered formalism of Dirac fermion.

preprint2014arXivOpen access
Taro Kimura
cond-mat.mes-hallhep-lat
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Taro Kimura

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