Back to Search Start Over

Global optimization of tensor renormalization group using the corner transfer matrix

Authors :
Satoshi Morita
Naoki Kawashima
Source :
Physical Review B. 103
Publication Year :
2021
Publisher :
American Physical Society (APS), 2021.

Abstract

A tensor network renormalization algorithm with global optimization based on the corner transfer matrix is proposed. Since the environment is updated by the corner transfer matrix renormalization group method, the forward-backward iteration is unnecessary, which is a time-consuming part of other methods with global optimization. In addition, a further approximation reducing the order of the computational cost of contraction for the calculation of the coarse-grained tensor is proposed. The computational time of our algorithm in two dimensions scales as the sixth power of the bond dimension while the higher-order tensor renormalization group and the higher-order second renormalization group methods have the seventh power. We perform benchmark calculations in the Ising model on the square lattice and show that the time-to-solution of the proposed algorithm is faster than that of other methods.<br />6 pages, 9 figures

Details

ISSN :
24699969 and 24699950
Volume :
103
Database :
OpenAIRE
Journal :
Physical Review B
Accession number :
edsair.doi.dedup.....48408d08d4e9bfe948a98335e641e5a9
Full Text :
https://doi.org/10.1103/physrevb.103.045131