Monte Carlo simulation of a planar rotator model with symmetry-breaking fields

Monte Carlo simulation of a planar rotator model with symmetry-breaking fields
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具有对称破缺场的平面旋转体模型的蒙特卡罗模拟

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
A. Tassi
A. Tassi
中科院分区:
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文献类型:
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作者:
E. Rastelli;S. Regina;A. Tassi

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用Monte Carlo方法模拟了四重破缺场正方晶格和六重破缺场三角晶格上的平面转子模型的相图和临界行为。基于重整化群分析,具有四重破缺场的平面模型预计将经历具有非常规场依赖临界指数的连续相变,而具有六重破缺场的同一模型预计将表现出两个相变:在低温下发生铁磁相变,然后在高温下发生BKTchar 21 {}顺磁相变。这两种预期都得到了Monte Carlo模拟的证实。
The phase diagram and the critical behavior of the planar rotator model on square lattice with fourfold and on triangular lattice with sixfold symmetry-breaking field is obtained by Monte Carlo simulation. On the basis of a renormalization-group analysis the planar model with a fourfold symmetry-breaking field is expected to undergo a continuous phase transition with unconventional field dependent critical exponents, while the same model with sixfold symmetry-breaking field is expected to exhibit two phase transitions: a ferromagneticchar21{}BKT (Berezinskii-Kosterlitz-Thouless) one at low temperature followed by a BKTchar21{}paramagnetic phase transition at high temperature. Both these expectations are confirmed by Monte Carlo simulations.