Extinction of BKT transition by nonmagnetic disorder in planar-symmetry spin models

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dc.creatorWysin, G. M.
dc.creatorPereira, A. R.
dc.creatorMarques, I. A.
dc.creatorLeonel, S. A.
dc.creatorCoura, P. Z.
dc.date2005-04-06
dc.date.accessioned2026-07-07T03:04:27Z
dc.date.available2026-07-07T03:04:27Z
dc.descriptionThe Berezinskii-Kosterlitz-Thouless (BKT) transition in two-dimensional planar rotator and XY models on a square lattice, diluted by randomly placed vacancies, is studied here using hybrid Monte Carlo simulations that combine single spin flip, cluster and over-relaxation techniques. The transition temperature $T_c$ is determined as a function of vacancy density $ρ_{vac}$ by calculations of the helicity modulus and the by finite-size scaling of the in-plane magnetic susceptibility. The results for $T_c$ are consistent with those from the much less precise fourth-order cumulant of Binder. $T_c$ is found to decrease monotonically with increasing $ρ_{vac}$, and falls to zero close to the square lattice percolation limit, $ρ_{vac}\approx 0.41$ . The result is physically reasonable: the long-range orientational order of the low-temperature phase cannot be maintained in the absence of sufficient spin interactions across the lattice.
dc.description9 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0504145
dc.identifierhttp://arxiv.org/abs/cond-mat/0504145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/26147
dc.subjectMaterials Science
dc.subjectStatistical Mechanics
dc.titleExtinction of BKT transition by nonmagnetic disorder in planar-symmetry spin models
dc.typetext

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