Critical behavior of diluted Heisenberg ferromagnets with competing interactions

M D'Onorio De Meo, J.d Reger and K Binder

Physica A: Statistical Mechanics and its Applications, 1995, vol. 220, issue 3, 628-647

Abstract: The pure and the site-diluted classical Heisenberg model on the face centered cubic (fcc) lattice with ferromagnetic exchange Jnn between nearest neighbors and antiferromagnetic exchange Jnn = −Jnn/2 between next nearest neighbors is studied by Monte Carlo simulation. Data are generated by the heat bath algorithm for lattice sizes L = 4, 8, 12, 16, 20 and 24, using histogram reweighting techniques and sampling up to several hundred configurations of the random site disorder. From a finite size scaling analysis both the critical temperature and the critical exponents are estimated. For the pure system, the data are in very good agreement with the critical exponent estimates 1/v ≈ 1.42, β/v ≈ 0.51 obtained from other methods (as a check of the accuracy of our approach, we also study the nearest neighbor model — where Jnn ≡ 0− and again obtain very good agreement with the known behavior). However, for the diluted systems evidence for a new universality class is found. While for concentration c = 0.875 of occupied sites strong crossover phenomena preclude us from giving exponent estimates, for c = 0.75 we find 1/v ≈ 1.2 and β/v ≈ 0.45. Possible reasons why the Harris criterion may not apply for this system are discussed. The application of this study to experiments on EuxSr1−xS is briefly mentioned.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:220:y:1995:i:3:p:628-647

DOI: 10.1016/0378-4371(95)00168-7

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