Criticality versus q in the 2+1-dimensional $Z_q$ clock model

dc.creatorHove, J.
dc.creatorSudbo, A.
dc.date2003-01-25
dc.date2003-10-14
dc.date.accessioned2026-07-07T12:16:38Z
dc.date.available2026-07-07T12:16:38Z
dc.descriptionUsing Monte Carlo simulations we have studied the $d=3$ $Z_q$ clock model in two different representations, the phase-representation and the loop/dumbbell-gas (LDG) representation. We find that for $q \ge 5$ the critical exponents $α$ and $ν$ for the specific heat and the correlation length, respectively, take on values corresponding to the case $q\to \infty$, where $\lim_{q \to \infty} Z_q = 3DXY$ model, i.e. in terms of critical properties the limiting behaviour is reached already at $q=5$.
dc.descriptionMinor corrections; journal ref added
dc.identifierhttps://arxiv.org/abs/cond-mat/0301499
dc.identifierhttp://arxiv.org/abs/cond-mat/0301499
dc.identifierPhys.Rev.E68:046107,2003
dc.identifierdoi:10.1103/PhysRevE.68.046107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211865
dc.subjectStatistical Mechanics
dc.titleCriticality versus q in the 2+1-dimensional $Z_q$ clock model
dc.typetext

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