arrow
返回

Anisotropic tensor renormalization group

delete2020-08-24
delete50
delete
OA
AI
D
Daiki Adachi *
T
Tsuyoshi Okubo
S
Synge Todo
DOI:10.1103/PhysRevB.102.054432delete
delete原文链接
delete分享
delete收藏
查看原文
摘要

摘要

En 中文
We propose a different tensor renormalization group algorithm, anisotropic tensor renormalization group (ATRG), for lattice models in arbitrary dimensions. The proposed method shares the same versatility with the higher-order tensor renormalization group (HOTRG) algorithm, i.e., it preserves the lattice topology after the renormalization. In comparison with HOTRG, both the computation cost and the memory footprint of our method are drastically reduced, especially in higher dimensions, by renormalizing tensors in an anisotropic way after the singular value decomposition. We demonstrate the ability of ATRG for the square lattice and the simple cubic lattice Ising models. Although the accuracy of the present method degrades when compared with HOTRG of the same bond dimension, the accuracy with fixed computation time is improved greatly due to the drastic reduction of the computation cost.
AI总结

AI总结

对已上传原文的论文进行重点信息的提取,主要内容包括:简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

Physical Review B 封面图
Physical Review B
IF:
3.7
论文数:
15.4W
被引数:
41.0W

机构

U
University of Tokyo
学者数:
7.1W
论文数: 6.5W
被引数: 2.2K
引用论文

引用论文

err分享
err收藏
Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice
err2014-07-04
err33
errOAAI
errWang Shun; Xie Zhi-Yuan; Chen Jing; Normand, Bruce; Xiang Tao
err分享
err收藏
Doubling of entanglement spectrum in tensor renormalization group
err2014-02-14
err26
errOAAI
errUeda, Hiroshi; Okunishi, Kouichi; Nishino, Tomotoshi
err分享
err收藏
err
IF0
err
err0
PREAI
err
err分享
err收藏
Coarse-graining renormalization by higher-order singular value decomposition
err2012-07-30
err314
errOAAI
errXie, Z. Y.; Chen, J.; Qin, M. P.; Zhu, J. W.; Yang, L. P.; Xiang, T.
err分享
err收藏
Entanglement branching operator
err2018-01-16
err18
errOAAI
errHarada, Kenji
err分享
err收藏
学者 查看更多内容