SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model.
SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model.
复制标题
三维经典二聚体模型中非常规相变的 SU(2)-不变连续体理论。
DOI：
10.1103/physrevlett.101.155702
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发表时间：
2008
影响因子：
8.6
通讯作者：
J. Chalker
中科院分区：
文献类型：
--
作者：
Stephen Powell;J. Chalker
在最近的蒙特卡罗模拟中，我们得到了立方晶格上经典二聚体模型相变的连续介质理论。我们的推导依赖于从三维经典问题到二维量子问题的映射，通过该映射，二聚体模型与Kagome晶格上的硬核玻色子模型相关联。按SU(2)不变连续介质理论描述，在分数填充时，二聚体有序转变为超流体-Mott绝缘体量子相变。
We derive a continuum theory for the phase transition in a classical dimer model on the cubic lattice, observed in recent Monte Carlo simulations. Our derivation relies on the mapping from a three-dimensional classical problem to a two-dimensional quantum problem, by which the dimer model is related to a model of hard-core bosons on the kagome lattice. The dimer-ordering transition becomes a superfluid-Mott insulator quantum phase transition at fractional filling, described by an SU(2)-invariant continuum theory.