MEAN-FIELD THEORY OF THE POTTS GLASS

MEAN-FIELD THEORY OF THE POTTS GLASS
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DOI:
10.1103/physrevlett.55.304
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发表时间:
1985-01-01
影响因子:
8.6
通讯作者:
SOMPOLINSKY, H
SOMPOLINSKY, H
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
GROSS, DJ;KANTER, I;SOMPOLINSKY, H

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随机相互作用的p态波茨自旋可能冻结成波茨玻璃相,其中波茨对称性平均未破缺。提出了这种相变的平均场理论。与自旋玻璃的情况下,存在两个不同的Potts-glass阶段,不同的性质的相关性之间的许多简并基态的系统。对于p> 4,从无序相的转变是不寻常的:冻结不连续地发生,但没有潜热。类似的结果也适用于平均场四极玻璃模型。
Randomly interacting p-state Potts spins may freeze into a Potts-glass phase in which the Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is presented. Unlike the spin-glass case, there exist two distinct Potts-glass phases that differ in the nature of the correlations among the many degenerate ground states of the system. For p> 4, the transition from the disordered phase is unusual: The freezing occurs discontinuously but without latent heat. Similar results hold for mean-field quadrupolar-glass models.