Bloch electron in a magnetic field and the Ising model

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dc.creatorKrasovsky, I. V.
dc.date2000-04-03
dc.date.accessioned2026-07-07T12:33:04Z
dc.date.available2026-07-07T12:33:04Z
dc.descriptionThe spectral determinant det(H-εI) of the Azbel-Hofstadter Hamiltonian H is related to Onsager's partition function of the 2D Ising model for any value of magnetic flux Φ=2πP/Q through an elementary cell, where P and Q are coprime integers. The band edges of H correspond to the critical temperature of the Ising model; the spectral determinant at these (and other points defined in a certain similar way) is independent of P. A connection of the mean of Lyapunov exponents to the asymptotic (large Q) bandwidth is indicated.
dc.description4 pages, 1 figure, REVTEX
dc.identifierhttps://arxiv.org/abs/cond-mat/0004018
dc.identifierhttp://arxiv.org/abs/cond-mat/0004018
dc.identifierPhys.Rev.Lett.85:4920-4923,2000
dc.identifierdoi:10.1103/PhysRevLett.85.4920
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216999
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleBloch electron in a magnetic field and the Ising model
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