Zero-temperature phase transitions of an antiferromagnetic Ising model of general spin on a triangular lattice
Zero-temperature phase transitions of an antiferromagnetic Ising model of general spin on a triangular lattice
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三角晶格上一般自旋反铁磁伊辛模型的零温相变
DOI：
10.1103/physrevb.55.14935
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发表时间：
1996
影响因子：
3.7
通讯作者：
C. Henley
中科院分区：
文献类型：
--
作者：
C. Zeng;C. Henley
我们将三角晶格上自旋S的反铁磁Ising模型的基态系综映射到一个界面模型上，该界面模型的熵涨落用有效的高斯自由能来描述，这使我们能够计算各种算子的临界指数.利用这种界面表示的基态系综的Monte Carlo模拟进行研究的动态和静态属性的模型。这种方法产生更精确的临界指数的数值结果。通过改变模型中的自旋大小，我们发现该模型表现出三个相，其中在${\martrm {S}}_{\martrm {KT}}$2处有一个Kosterlitz-无自旋相变，在${\martrm {S}}_{\martrm {L}}$\ensuremath{\leqslant}3处有一个锁定相变。本文还讨论了有限温度下的相图。
We map the ground-state ensemble of antiferromagnetic Ising model of spin-S on a triangular lattice to an interface model whose entropic fluctuations are proposed to be described by an effective Gaussian free energy, which enables us to calculate the critical exponents of various operators in terms of the stiffness constant of the interface. Monte Carlo simulations for the ground-state ensemble utilizing this interfacial representation are performed to study both the dynamical and the static properties of the model. This method yields more accurate numerical results for the critical exponents. By varying the spin magnitude in the model, we find that the model exhibits three phases with a Kosterlitz-Thouless phase transition at ${\mathrm{S}}_{\mathrm{KT}}$2 and a locking phase transition at ${\mathrm{S}}_{\mathrm{L}}$\ensuremath{\leqslant}3. The phase diagram at finite temperatures is also discussed.