期刊
PHYSICAL REVIEW E
卷 97, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.97.033310
关键词
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资金
- MEXT
- JSPS KAKENHI [26730062]
- ImPACT Program of Council for Science, Technology and Innovation (Cabinet Office, Government of Japan)
- Grants-in-Aid for Scientific Research [26730062] Funding Source: KAKEN
An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-dimensional classical models. In the case of a square lattice, its computational complexity and memory usage are proportional to the fifth and the third power of the bond dimension, respectively, whereas those of the conventional implementation are of the sixth and the fourth power. The oversampling parameter larger than the bond dimension is sufficient to reproduce the same result as full singular value decomposition even at the critical point of the two-dimensional Ising model.
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