The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions
Open accessAbstract
Traditional mean-field theory is a generic variational approach for analyzing symmetry breaking phases. However, this simple approach only applies to symmetry breaking states with short-range entanglement. In this paper, we describe a generic approach for studying two-dimensional (2D) quantum phases with long-range entanglement (such as topological phases). The method is based on (a) a general class of trial wave functions known as tensor-product states and (b) a 2D real-space renormalization group algorithm for efficiently calculating expectation values for these states. We demonstrate our method by studying several simple 2D quantum spin models exhibiting both symmetry breaking phase transitions and topological phase transitions. Our approach can be viewed as a unified mean-field theory for both symmetry breaking phases and topological phases.
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Cites
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Detecting Topological Order in a Ground State Wave Function
Levin, M., & Wen, X.-G. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.110405 · Cited by 2,068
Self-citationAn introduction to lattice gauge theory and spin systems
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String-net condensation: A physical mechanism for topological phases
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Self-citationVidal, G. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.220405 · Cited by 1,122
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Cited by
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Symmetry protected topological orders and the group cohomology of their symmetry group
Chen, X., Gu, Z.-C., Liu, Z.-X., & Wen, X.-G. (2013) · Physical Review B · doi:10.1103/physrevb.87.155114 · Cited by 1,311
Self-citationThe 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
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Metadata
- Authors
- Gu, Z.-C., Levin, M., & Wen, X.-G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2008-11-24
- Volume
- 78
- Issue
- 20
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1887381766
- Cited by
- 274
- References
- 28
- FWCI
- 11.99
- Type
- journal article
- Language
- en
- Open access
- green
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