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大学・研究所にある論文を検索できる 「Irregular parameter dependence of numerical results in tensor renormalization group analysis」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。

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Irregular parameter dependence of numerical results in tensor renormalization group analysis

藏増, 嘉伸 Ueno, Ryoichiro Kadoh, Daisuke 筑波大学 DOI:10.1093/ptep/ptz056

2020.09.11

概要

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.

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参考文献

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We would like to thank Ken-Ichi Ishikawa for encouraging our study. The numerical simulations were performed on the INSAM (Institute for Nonlinear Sciences and Applied Mathematics) cluster system at Hiroshima

University. This work was supported by the Ministry of Education, Culture, Sports, Science and Technology

(MEXT) as “Exploratory Challenge on Post-K computer” (Frontiers of Basic Science: Challenging the Limits),

Grant-in-Aid for Japan Society for the Promotion of Science (JSPS) Research Fellow (No. 18J10663), JSPS

KAKENHI Grant Numbers JP16K05328 and JP19K03853, and the CUniverse research promotion project of

Chulalongkorn University (Grant CUAASC).

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