Aperiodic Ising model on the Bethe lattice: exact results.
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 formulas for the continuously varying critical exponents and discuss a relationship with the (surface) critical behavior of the aperiodic quantum Ising chain.
Research Institute for Solid State Physics and Optics, H-1525 Budapest, P.O. Box 49, Hungary. igloi@szfki.hu
Ferenc
F
Iglói
Loïc
L
Turban