Aperiodic Ising model on the Bethe lattice: Exact results
| Autor: | Igloi, F., Turban, L. |
|---|---|
| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 78 (2008) 031128 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.78.031128 |
| Popis: | 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. Comment: 7 pages, 3 figures, minor corrections |
| Databáze: | arXiv |
| Externí odkaz: |
|