二维完全阻挫XY类实现的对称允许相变
Symmetry-allowed phase transitions realized by the two-dimensional fully frustrated XY class
摘要：
一个2D完全受抑XY（FFXY）类的模型中包含一个新的基态除了棋盘格基态的标准2D FFXY模型。得到了该附加基态的自旋组态。与此基态相关联的是额外的相变。一个序参量占这些新的转变。与新的序参量相关联的相变被认为是类似于二维的液-气相变，这意味着类似于Z_2-Ising的相变。这表明2D FFXY模型的类别属于U（1）x Z_2 x Z_2-指定的可能跃迁，这意味着存在七种不同的可能的单个和组合跃迁。MC-模拟的广义全阻挫XY（GFFXY）模型的正方形晶格被用来调查这些可能性可以在实践中实现：五个遇到。从MC模拟中推导出四个临界点，三个与中心荷c=3/2一致，一个与c=1一致。标准的二维FFXY模型的影响进行了讨论，特别是长期存在的争议，其相变的特性。
英文摘要：
A 2D Fully Frustrated XY(FFXY) class of models is shown to contain a new groundstate in addition to the checkerboard groundstates of the standard 2D FFXY model. The spin configuration of this additional groundstate is obtained. Associated with this groundstate there are additional phase transitions. An order parameter accounting for these new transitions is proposed. The transitions associated with the new order parameter are suggested to be similar to a 2D liquid-gas transition which implies Z_2-Ising like transitions. This suggests that the class of 2D FFXY models belongs within a U(1) x Z_2 x Z_2-designation of possible transitions, which implies that there are seven different possible single and combined transitions. MC-simulations for the generalized fully frustrated XY (GFFXY) model on a square lattice are used to investigate which of these possibilities can be realized in practice: five of the seven are encountered. Four critical points are deduced from the MC-simulations, three consistent with central charge c=3/2 and one with c=1. The implications for the standard 2D FFXY-model are discussed in particular with respect to the long standing controversy concerning the characteristics of its phase transitions.
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