Aperiodic Ising model on the Bethe lattice: Exact results

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dc.creatorIgloi, F.
dc.creatorTurban, L.
dc.date2008-08-26
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:14Z
dc.date.available2026-07-07T10:04:14Z
dc.descriptionWe consider the Ising model on the Bethe lattice with aperiodic modulation of the couplings, which has been studied numerically in Phys. Rev. E 77, 041113 (2008). Here we present a relevance-irrelevance criterion and solve the critical behavior exactly for marginal aperiodic sequences. We present analytical formulae for the continuously varying critical exponents and discuss a relationship with the (surface) critical behavior of the aperiodic quantum Ising chain.
dc.description7 pages, 3 figures, minor corrections
dc.identifierhttps://arxiv.org/abs/0808.3512
dc.identifierhttp://arxiv.org/abs/0808.3512
dc.identifierPhys. Rev. E 78 (2008) 031128
dc.identifierdoi:10.1103/PhysRevE.78.031128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169594
dc.subjectStatistical Mechanics
dc.titleAperiodic Ising model on the Bethe lattice: Exact results
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