Work

Irregular parameter dependence of numerical results in tensor renormalization group analysis

Year: 2019

Type: article

Abstract: We study the parameter dependence of numerical results obtained by the tensor renormalization group. We often observe irregular behavior as the parameters are varied with the method. Using the two-dimensional Ising model we explicitly show that the sharp cutoff used in the truncated singular value decomposition causes this unwanted behavior when the level crossing happens between singular values below and above the truncation order as the parameters are varied. We also test a smooth cutoff, instead of the sharp one, as a truncation scheme and discuss its effects.

Source: Progress of Theoretical and Experimental Physics

DOI: 10.1093/ptep/ptz056

Authors: Daisuke Kadoh, Yoshinobu Kuramashi, Ryoichiro Ueno

Institutions: Chulalongkorn University, Keio University, University of Tsukuba, Hiroshima University

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $979

Funders: Ministry of Education, Culture, Sports, Science and Technology, Chulalongkorn University, Japan Society for the Promotion of Science