Wang-Landau study of the random bond square Ising model with nearest- and next-nearest-neighbor interactions

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dc.creatorFytas, N. G.
dc.creatorMalakis, A.
dc.creatorGeorgiou, I.
dc.date2008-04-29
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:52:15Z
dc.date.available2026-07-07T09:52:15Z
dc.descriptionWe report results of a Wang-Landau study of the random bond square Ising model with nearest- ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic interactions. We consider the case $R=J_{nn}/J_{nnn}=1$ for which the competitive nature of interactions produces a sublattice ordering known as superantiferromagnetism and the pure system undergoes a second-order transition with a positive specific heat exponent $α$. For a particular disorder strength we study the effects of bond randomness and we find that, while the critical exponents of the correlation length $ν$, magnetization $β$, and magnetic susceptibility $γ$ increase when compared to the pure model, the ratios $β/ν$ and $γ/ν$ remain unchanged. Thus, the disordered system obeys weak universality and hyperscaling similarly to other two-dimensional disordered systems. However, the specific heat exhibits an unusually strong saturating behavior which distinguishes the present case of competing interactions from other two-dimensional random bond systems studied previously.
dc.description9 pages, 3 figures, version as accepted for publication
dc.identifierhttps://arxiv.org/abs/0804.4545
dc.identifierhttp://arxiv.org/abs/0804.4545
dc.identifierJ. Stat. Mech. (2008) L07001
dc.identifierdoi:10.1088/1742-5468/2008/07/L07001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165527
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleWang-Landau study of the random bond square Ising model with nearest- and next-nearest-neighbor interactions
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