Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

被引：37

作者：

Akiyama, Shinichiro ^{[1
]}

Kuramashi, Yoshinobu ^{[2
]}

Yamashita, Takumi ^{[3
]}

Yoshimura, Yusuke ^{[2
]}

机构：

[1] Univ Tsukuba, Grad Sch Pure & Appl Sci, Tsukuba, Ibaraki 3058571, Japan

[2] Univ Tsukuba, Ctr Computat Sci, Tsukuba, Ibaraki 3058577, Japan

[3] Univ Tsukuba, Fac Engn, Tsukuba, Ibaraki 3058573, Japan

来源：

PHYSICAL REVIEW D | 2019年 / 100卷 / 05期

关键词：

LATTICE PHI-4 THEORY; ONE-COMPONENT MODEL; TRIVIALITY BOUNDS; SCALING LAWS; BEHAVIOR;

D O I：

10.1103/PhysRevD.100.054510

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We apply the higher-order tensor renormalization group to the four-dimensional ferromagnetic Ising model, which has been attracting interest in the context of the triviality of the scalar phi(4)(d=4) theory. We investigate the phase transition of this model with the higher-order tensor renormalization group enlarging the lattice size up to 1024(4) with parallel computation. The results for the internal energy and the magnetization are consistent with the weak first-order phase transition.

引用

页数：7

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