Articles dans des revues à comité de lecture
|Aperiodic Ising model on the Bethe lattice: Exact results|
|Iglói F., Turban L.|
|Phys. Rev. E 78 (2008) 031128|
|DOI : 10.1103/PhysRevE.78.031128|
|ArXiv : arxiv:0808.3512 [PDF]|
|HAL : hal-00421966|
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.