arXiv:cond-mat/0008444 · Journal of Physics A Mathematical and General

Coupled Ising models with disorder

Pascal Simon, Federico Ricci‐Tersenghi

Published Aug 16, 2000• 3 citations

Abstract

In this paper we study the phase diagram of two Ising planes coupled by a standard spin-spin interaction with bond randomness in each plane. The whole phase diagram is analysed with the help of Monte Carlo simulations and field theory arguments.

DOI: 10.1088/0305-4470/33/34/304

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Coupled Ising models with disorder

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arXiv:cond-mat/0008444 · Journal of Physics A Mathematical and General

Coupled Ising models with disorder

Pascal Simon, Federico Ricci‐Tersenghi

Published Aug 16, 2000• 3 citations

arXiv HTML PDF

Abstract

DOI: 10.1088/0305-4470/33/34/304

Related papers

Coupled Ising models with disorder

Pascal Simon, Federico Ricci‐Tersenghi

Jan 1, 20003 citations

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{T}_{c}

with concentration

p

at the two points

p=0

and

p=1

. For the two-dimensional Ising model, these initial slopes can be obtained exactly, using perturbation theory, for alloys involving either bond or site disorder. For site disorder we obtain results for a spin

S

in a host with spin \textonehalf{}. We show that mean-field theory is fairly reliable but fails to predict some kinds of phase diagrams that may occur.