论文标题
在规范和宏大的典型集合中,耦合自旋模型模型的临界行为的比较研究
Comparative Study of a Critical Behavior of a Coupled Spin-Electron Model on a Doubly Decorated Square Lattice in the Canonical and Grand-Canonical Ensemble
论文作者
论文摘要
通过使用广义的装饰 - 介质转换,分析了将局部iSing旋转放置在节点位点上的局部旋转和移动电子在两个节点晶格位点之间的键上的局部旋转的临界行为,可以通过使用广义的装饰 - 介质转换。我们的注意力主要集中于对两个特定电子浓度的规范和宏伟的统计集合中的临界温度进行严格的分析,对应于四分之一($ρ\!= \!1 $)和一半($ρ\!= \!\!2 $)。发现在规范和宏大的典型合奏中研究的自旋电子系统的临界温度可能非常不同,并且非常敏感,例如电子跳跃振幅($ t $)的模型参数之间的竞争,即本地式旋转($ j'$)之间的iSing耦合($ j'$),电势($ v $),$ v $ $ pection($ $)($)($)($)($ $)。此外,发现增加的静电电势对两个统计集合中的临界温度之间的偏差都有降低的影响。
The critical behavior of a hybrid spin-electron model with localized Ising spins placed on nodal sites and mobile electrons delocalized over bonds between two nodal lattice sites is analyzed by the use of a generalized decoration-iteration transformation. Our attention is primarily concentrated on a rigorous analysis of a critical temperature in canonical and grand-canonical statistical ensemble at two particular electron concentrations, corresponding to a quarter ($ρ\!=\!1$) and a half ($ρ\!=\!2$) filled case. It is found that the critical temperature of the investigated spin-electron system in the canonical and grand-canonical ensemble may be remarkably different and is very sensitive to the competition among the model parameters like the electron hopping amplitude ($t$), the Ising coupling between the localized spins ($J'$), the electrostatic potential ($V$) and the electron concentration ($ρ$). In addition, it is detected that the increasing electrostatic potential has a reduction effect upon the deviation between critical temperatures in both statistical ensembles.