广义XY模型中的退禁闭跃迁
Deconfinement transitions in a generalised XY model
摘要：
我们发现完整的相图的广义XY模型，包括半涡。该模型具有超流，对超流和无序相，分离的Kosterlitz无（KT）过渡的半涡和普通涡，以及伊辛型转变。还出现了一个不寻常的退细化相变，其中无序超流转变是伊辛而不是KT型。我们通过分析论证和大量的数值模拟表明，在相图中有一个点，KT过渡线满足解细化伊辛相变。我们发现，后者延伸到无序相不是作为一个相变，而是仅仅作为一个解除禁闭过渡。最好在双高度模型中理解，其中在过渡高度台阶的一侧，它们被绑定成对，而在另一侧，它们是未绑定的。我们还扩展了对偶模型的相图，发现了O（2）圈模型和反铁磁伊辛跃迁。
英文摘要：
We find the complete phase diagram of a generalised XY model that includes half-vortices. The model possesses superfluid, pair-superfluid and disordered phases, separated by Kosterlitz-Thouless (KT) transitions for both the half-vortices and ordinary vortices, as well as an Ising-type transition. There also occurs an unusual deconfining phase transition, where the disordered to superfluid transition is of Ising rather than KT type. We show by analytical arguments and extensive numerical simulations that there is a point in the phase diagram where the KT transition line meets the deconfining Ising phase transition. We find that the latter extends into the disordered phase not as a phase transition, but rather solely as a deconfinement transition. It is best understood in the dual height model, where on one side of the transition height steps are bound into pairs while on the other they are unbound. We also extend the phase diagram of the dual model, finding both O(2) loop model and antiferromagnetic Ising transitions.
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