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Aperiodic Ising model on the Bethe lattice: Exact results

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 نشر من قبل Loic Turban
 تاريخ النشر 2008
  مجال البحث فيزياء
والبحث باللغة English
 تأليف F. Igloi




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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.



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