The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Tensor Renormalization Group Approach to Two-Dimensional Classical Lattice Models
Open accessAbstract
We describe a simple real space renormalization group technique for two-dimensional classical lattice models. The approach is similar in spirit to block spin methods, but at the same time it is fundamentally based on the theory of quantum entanglement. In this sense, the technique can be thought of as a classical analogue of the density matrix renormalization group method. We demonstrate the method - which we call the tensor renormalization group method - by computing the magnetization of the triangular lattice Ising model.
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Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Entanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Cited by
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
The ITensor Software Library for Tensor Network Calculations
Fishman, M., White, S., & Stoudenmire, E. M. (2022) · SciPost Physics Codebases · doi:10.21468/scipostphyscodeb.4 · Cited by 1,084
Chen, X., Gu, Z.-C., & Wen, X.-G. (2010) · Physical Review B · doi:10.1103/physrevb.82.155138 · Cited by 891
Accurate Determination of Tensor Network State of Quantum Lattice Models in Two Dimensions
Jiang, H. C., Weng, Z. Y., & Xiang, T. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.090603 · Cited by 464
Orús, R., & Vidal, G. (2009) · Physical Review B · doi:10.1103/physrevb.80.094403 · Cited by 387
Metadata
- Authors
- Levin, M., & Nave, C. P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-09-19
- Volume
- 99
- Issue
- 12
- Pages
- 120601-120601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1531177993
- Cited by
- 606
- References
- 3
- FWCI
- 7.13
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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