Coulomb and liquid dimer models in three dimensions
Coulomb and liquid dimer models in three dimensions
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DOI：
10.1103/physrevlett.91.167004
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发表时间：
2003-10-17
影响因子：
8.6
通讯作者：
Sondhi, SL
中科院分区：
文献类型：
--
作者：
Huse, DA;Krauth, W;Sondhi, SL
我们用解析方法和蒙特卡罗模拟方法研究了三维晶格上的经典硬核二聚体模型。在二分立方晶格上，正方形晶格上的高度表示的局域规范场推广预测了二聚体处于具有代数、偶极关联的临界库仑相，这与我们的大规模蒙特卡罗模拟非常一致。非二分fcc和Fisher晶格缺少这样的表示，我们发现这些模型既有限制的，也有指数解的，但没有临界相。我们推测，扩展的临界相只在二分晶格上实现，甚至在更高的维度上也是如此。
We study classical hard-core dimer models on three-dimensional lattices using analytical approaches and Monte Carlo simulations. On the bipartite cubic lattice, a local gauge field generalization of the height representation used on the square lattice predicts that the dimers are in a critical Coulomb phase with algebraic, dipolar correlations, in excellent agreement with our large-scale Monte Carlo simulations. The nonbipartite fcc and Fisher lattices lack such a representation, and we find that these models have both confined and exponentially deconfined but no critical phases. We conjecture that extended critical phases are realized only on bipartite lattices, even in higher dimensions.