1209.2442 (Kazuhiko Minami)

Equivalence between two-dimensional alternating/random Ising model and
the ground state of one-dimensional alternating/random XY chain    [PDF]

Kazuhiko Minami

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.

View original: http://arxiv.org/abs/1209.2442