Equivalence between two-dimensional alternating/random Ising model and the ground state of one-dimensional alternating/random XY chain
Statistical Mechanics
2015-06-11 v1 Mathematical Physics
math.MP
Abstract
It is derived that the two-dimensional Ising model with alternating/random interactions and with periodic/free boundary conditions is equivalent to the ground state of the one-dimensional alternating/random XY model with the corresponding periodic/free boundary conditions. This provides an exact equivalence between a random rectangular Ising model, in which the Griffiths-McCoy phase appears, and a random XY chain.
Keywords
Cite
@article{arxiv.1209.2442,
title = {Equivalence between two-dimensional alternating/random Ising model and the ground state of one-dimensional alternating/random XY chain},
author = {Kazuhiko Minami},
journal= {arXiv preprint arXiv:1209.2442},
year = {2015}
}
Comments
10 pages