Aperiodic Ising model on the Bethe lattice: Exact results

Details Aperiodic Ising model on the Bethe lattice: Exact results Aperiodic Ising model on the Bethe lattice: Exact results

2008-08-26

arxiv.org/abs/0808.3512v2

Phys. Rev. E 78 (2008) 031128

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures, minor corrections

Scientific paper

10.1103/PhysRevE.78.031128

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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