论文标题
晶格玻璃模型的高阶张量重新归一化组方法
Higher-order tensor renormalization group approach to lattice glass model
论文作者
论文摘要
在这项研究中，将高阶张量重新归一化组（HOTRG）方法应用于晶格玻璃模型，该模型对以多体相互作用表示的相邻粒子的占用数量具有局部约束。该模型根据特定模型参数表现出一阶和二阶的过渡。使用对模型的HOTRG方法获得的结果已证实与Markov-Chain Monte Carlo（MCMC）方法获得的相对尺寸相对较小的系统获得的结果是一致的。通过HOTRG计算对大小的系统进行了准确估算过渡点，使用MCMC方法进行执行具有挑战性。这些结果表明，HOTRG方法可以是研究具有多体相互作用的系统的有效方法。
In this study, the higher-order tensor renormalization group (HOTRG) method is applied to a lattice glass model that has local constraints on the occupation number of neighboring particles represented by many-body interactions. This model exhibits first- and second-order transitions depending on a certain model parameter. The results obtained by using the HOTRG method for the model were confirmed to be consistent with those obtained by a Markov-chain Monte Carlo (MCMC) method for systems of relatively small sizes. The transition points are accurately estimated by the HOTRG calculation for the systems of large sizes, which is challenging to perform using the MCMC method. These results demonstrate that the HOTRG method can be an efficient method for studying systems with many-body interactions.
