Two-Dimensional Tensor Product Variational Formulation.
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- Nishino Tomotoshi
- Department of Physics, Graduate School of Science, Kobe University<BR>Kobe 657-8501, Japan
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- Hieida Yasuhiro
- Department of Physics, Graduate School of Science, Kobe University<BR>Kobe 657-8501, Japan
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- Okunishi Kouichi
- Department of Applied Physics, Graduate School of Engineering<BR> Osaka University, Suita 565-0871, Japan Department of Physics, Niigata University, Niigata 950-2181, Japan
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- Maeshima Nobuya
- Department of Physics, Graduate School of Science, Osaka University<BR> Toyonaka 560-0043, Japan
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- Akutsu Yasuhiro
- Department of Physics, Graduate School of Science, Osaka University<BR> Toyonaka 560-0043, Japan
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- Gendiar Andrej
- Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, SK-842 28 Bratislava, Slovakia
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Abstract
We propose a numerical self-consistent method for 3D classical lattice models, which optimizes the variational state written as a two-dimensional product of tensors. The variational partition function is calculated using the corner transfer matrix renormalization group (CTMRG), which is a variant of the density matrix renormalization group (DMRG). The numerical efficiency of the method is exemplified in its application to the 3D Ising model.
Journal
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- Progress of Theoretical Physics
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Progress of Theoretical Physics 105 (3), 409-417, 2001
THE PHYSICAL SOCIETY OF JAPAN
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Details 詳細情報について
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- CRID
- 1390282679135061504
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- NII Article ID
- 110001196968
- 210000110682
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- NII Book ID
- AA00791455
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- BIBCODE
- 2001PThPh.105..409N
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- ISSN
- 13474081
- 0033068X
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- MRID
- 1841488
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- NDL BIB ID
- 5814604
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed