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American Physical Society, Physical review E: Statistical, nonlinear, and soft matter physics, 3(78)

DOI: 10.1103/physreve.78.031128

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Aperiodic Ising model on the Bethe lattice: Exact results

Journal article published in 2008 by Ferenc Igloi, Loïc Turban ORCID
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This paper is available in a repository.

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Abstract

7 pages, 3 figures, minor corrections ; International audience ; We 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.