English

Exact phase diagrams for an Ising model on a two-layer Bethe lattice

Statistical Mechanics 2016-08-31 v1

Abstract

Using an iteration technique, we obtain exact expressions for the free energy and the magnetization of an Ising model on a two - layer Bethe lattice with intralayer coupling constants J1 and J2 for the first and the second layer, respectively, and interlayer coupling constant J3 between the two layers; the Ising spins also couple with external magnetic fields, which are different in the two layers. We obtain exact phase diagrams for the system.

Keywords

Cite

@article{arxiv.cond-mat/9904008,
  title  = {Exact phase diagrams for an Ising model on a two-layer Bethe lattice},
  author = {Chin-Kun Hu and N. Sh. Izmailian and K. B. Oganesyan},
  journal= {arXiv preprint arXiv:cond-mat/9904008},
  year   = {2016}
}

Comments

24 pages, 2 figures. To be published in Phys. Rev. E 59, Issue 6, 1999