Critical behavior in the cubic dimer model at nonzero monomer density
Critical behavior in the cubic dimer model at nonzero monomer density
复制标题
非零单体密度下立方二聚体模型中的关键行为
DOI：
10.1103/physrevb.89.014404
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发表时间：
2013
影响因子：
3.7
通讯作者：
Stephen Powell
中科院分区：
文献类型：
--
作者：
G. Sreejith;Stephen Powell
研究了有限密度单体存在下经典立方二聚体模型（CDM）的临界行为。由于平行二聚体之间的相互作用，无单体CDM表现出从库仑相到二聚体晶体的非常规转变。单体在库仑相中充当电荷（或单极子），并且在非零密度下导致标准的朗道型转变。我们使用大规模的Monte Carlo模拟研究系统的临界点附近，并发现与标度理论的详细预测的结果。超越以往的研究中的过渡单体的情况下，我们明确确认常规和非常规的临界性之间的区别，并定量地证明了两者之间的交叉。我们的结果还为理论主张提供了额外的证据，即CDM中的跃迁与SU（2）JQ模型中的去限制量子临界点属于同一普适类。
We study critical behavior in the classical cubic dimer model (CDM) in the presence of a finite density of monomers. With attractive interactions between parallel dimers, the monomer-free CDM exhibits an unconventional transition from a Coulomb phase to a dimer crystal. Monomers acts as charges (or monopoles) in the Coulomb phase and, at nonzero density, lead to a standard Landau-type transition. We use large-scale Monte Carlo simulations to study the system in the neighborhood of the critical point, and find results in agreement with detailed predictions of scaling theory. Going beyond previous studies of the transition in the absence of monomers, we explicitly confirm the distinction between conventional and unconventional criticality, and quantitatively demonstrate the crossover between the two. Our results also provide additional evidence for the theoretical claim that the transition in the CDM belongs in the same universality class as the deconfined quantum critical point in the SU(2) JQ model.