Abstract
The statistical mechanics of finite Ising square lattices in a field of random sign is investigated numerically by a modified recursive transfer matrix method for . Our results are consistent with the absence of a spontaneous magnetization for even in the ground state. The singularities occurring at in the range , being the exchange constant, are discussed in terms of a cluster expansion. For nonzero , less than the critical temperature of the pure two-dimensional Ising model, and sufficiently small, the system exhibits a nonzero spin-glass order parameter of the Mattis type although there is no magnetization. The ferromagnetic correlation function becomes long ranged for and is calculated from the domain-wall density.
- Received 17 March 1980
DOI:https://doi.org/10.1103/PhysRevB.23.287
©1981 American Physical Society