Aperiodic Ising model on the Bethe lattice: Exact results
Statistical Mechanics
2008-09-23 v2
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.
Cite
@article{arxiv.0808.3512,
title = {Aperiodic Ising model on the Bethe lattice: Exact results},
author = {F. Igloi and L. Turban},
journal= {arXiv preprint arXiv:0808.3512},
year = {2008}
}
Comments
7 pages, 3 figures, minor corrections