Physical review. B, Condensed matter

Phase diagrams of the diluted and random-bond Ising model

Ligia Edith Zamora, German Antonio Pérez Alcázar, Alberto Bohorquez, A. Rosales‐Rivera, J. A. Plascak

Published Apr 1, 1995• 23 citations

Abstract

The quenched-bond disordered Ising model is studied by means of the mean-field renormalization-group approach. Besides dilution and ferromagnetic random bond, the probability distribution function also includes two extra competing random bonds which can be ferromagnetic or antiferromagnetic, depending on the sign of some competing parameters. The critical temperature against ferromagnetic bond concentration phase diagrams are analyzed for several values of the theoretical parameters.

DOI: 10.1103/physrevb.51.9329

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Physical review. B, Condensed matter

Phase diagrams of the diluted and random-bond Ising model

Ligia Edith Zamora, German Antonio Pérez Alcázar, Alberto Bohorquez, A. Rosales‐Rivera, J. A. Plascak

Published Apr 1, 1995• 23 citations

Publisher

Abstract

DOI: 10.1103/physrevb.51.9329

Related papers

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Enaldo F. Sarmento, R. B. Muniz, Solange Bessa Cavalcanti

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{J}_{1}

and

{J}_{2}

occur with probabilities 1-p and p, respectively, critical curves are obtained for various \ensuremath{\alpha}'s (\ensuremath{\alpha}\ensuremath{\equiv}

{J}_{1}

{J}_{2}

), and the critical bond concentrations

{p}_{c}

at which the ferromagnetic phase breaks down are determined. As \ensuremath{\alpha}\ensuremath{\rightarrow}0, the mixed model reduces to the diluted Ising model and the results obtained are compared to those available in the literature. The effect of the transverse field (for different \ensuremath{\alpha}'s) in the thermal behavior of the magnetization as a function of the concentration is also discussed.

{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.

{p}^{\mathrm{*}}

at which the critical temperature goes to zero depends upon q.