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arXiv · 1906.06060

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

Shinichiro Akiyama·Yoshinobu Kuramashi·Takumi Yamashita·Yusuke Yoshimura
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Abstract

We apply the higher-order tensor renormalization group (HOTRG) to the four-dimensional ferromagnetic Ising model, which has been attracting interests in the context of the triviality of the scalar $\phi^4_{d=4}$ theory. We investigate the phase transition of this model with HOTRG 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.

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Shinichiro Akiyama, Yoshinobu Kuramashi, Takumi Yamashita, Yusuke Yoshimura. 2019-06-14. Phase transition of four-dimensional Ising model with higher-order tensor renormalization group. https://doi.org/10.1103/physrevd.100.054510

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