Phase transition of four-dimensional Ising model with tensor network scheme
Phase transition of four-dimensional Ising model with tensor network scheme
复制标题
张量网络方案四维伊辛模型的相变
DOI：
10.22323/1.363.0138
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Yusuke Yoshimura
中科院分区：
文献类型：
--
作者：
S. Akiyama;Y. Kuramashi;Takumi Yamashita;Yusuke Yoshimura
我们用两种张量网络方案研究了四维Ising模型的相变，一种是高阶张量重整化群，另一种是各向异性张量重整化群.用不纯张量法计算了晶格体积，将晶格体积扩大到1024^4 $，所得的内能和磁化强度与弱一级相变的结果一致。对于后者的算法，我们的实现成功地减少了执行时间，由于并行计算和ATRG提供的结果似乎与HOTRG。
We investigate the phase transition of the four-dimensional Ising model with two types of tensor network scheme, one is the higher-order tensor renormalization group and the other is the anisotropic tensor renormalization group. The results for the internal energy and magnetization obtained by the former algorithm with the impure tensor method, enlarging the lattice volume up to $1024^4$, are consistent with the weak first-order phase transition. For the later algorithm, our implementation successfully reduces the execution time thanks to the parallel computation and the results provided by ATRG seems comparable to those with HOTRG.