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arXiv · 0808.3512

Aperiodic Ising model on the Bethe lattice: Exact results

F. Igloi·L. Turban
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Abstract

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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F. Igloi, L. Turban. 2008-09-23. Aperiodic Ising model on the Bethe lattice: Exact results. https://doi.org/10.1103/physreve.78.031128

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