Hofstadter Problem on the Honeycomb and Triangular Lattices: Bethe Ansatz Solution

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dc.creatorKohmoto, M.
dc.creatorSedrakyan, A.
dc.date2006-03-10
dc.date.accessioned2026-07-07T07:02:19Z
dc.date.available2026-07-07T07:02:19Z
dc.descriptionWe consider Bloch electrons on the honeycomb lattice under a uniform magnetic field with $2 πp/q$ flux per cell. It is shown that the problem factorizes to two triangular lattices. Treating magnetic translations as Heisenberg-Weyl group and by the use of its irreducible representation on the space of theta functions, we find a nested set of Bethe equations, which determine the eigenstates and energy spectrum. The Bethe equations have simple form which allows to consider them further in the limit $p, q \to \infty$ by the technique of Thermodynamic Bethe Ansatz and analyze Hofstadter problem for the irrational flux.
dc.description7 pages, 2 figures, Revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/0603285
dc.identifierhttp://arxiv.org/abs/cond-mat/0603285
dc.identifierPhys. Rev. B 73, 235118 (2006)
dc.identifierdoi:10.1103/PhysRevB.73.235118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108562
dc.subjectMesoscale and Nanoscale Physics
dc.titleHofstadter Problem on the Honeycomb and Triangular Lattices: Bethe Ansatz Solution
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