Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice
We construct a class of projected entangled pair states which is exactly the resonating valence bond wave functions endowed with both short range and long range valence bonds. With an energetically preferred resonating valence bond pattern, the wave function is simplified to live in a one-parameter...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/79916 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1826214596863590400 |
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| author | Wang, Ling Poilblanc, Didier Gu, Zheng-Cheng Wen, Xiao-Gang Verstraete, Frank |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wang, Ling Poilblanc, Didier Gu, Zheng-Cheng Wen, Xiao-Gang Verstraete, Frank |
| author_sort | Wang, Ling |
| collection | MIT |
| description | We construct a class of projected entangled pair states which is exactly the resonating valence bond wave functions endowed with both short range and long range valence bonds. With an energetically preferred resonating valence bond pattern, the wave function is simplified to live in a one-parameter variational space. We tune this variational parameter to minimize the energy for the frustrated spin-1/2 J[subscript 1]-J[subscript 2] antiferromagnetic Heisenberg model on the square lattice. Taking a cylindrical geometry, we are able to construct four topological sectors with an even or odd number of fluxes penetrating the cylinder and an even or odd number of spinons on the boundary. The energy splitting in different topological sectors is exponentially small with the cylinder perimeter. We find a power law decay of the dimer correlation function on a torus, and a lnL correction to the entanglement entropy, indicating a gapless spin-liquid phase at the optimum parameter. |
| first_indexed | 2024-09-23T16:08:00Z |
| format | Article |
| id | mit-1721.1/79916 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:08:00Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/799162022-10-02T06:34:14Z Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice Wang, Ling Poilblanc, Didier Gu, Zheng-Cheng Wen, Xiao-Gang Verstraete, Frank Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang Wang, Ling We construct a class of projected entangled pair states which is exactly the resonating valence bond wave functions endowed with both short range and long range valence bonds. With an energetically preferred resonating valence bond pattern, the wave function is simplified to live in a one-parameter variational space. We tune this variational parameter to minimize the energy for the frustrated spin-1/2 J[subscript 1]-J[subscript 2] antiferromagnetic Heisenberg model on the square lattice. Taking a cylindrical geometry, we are able to construct four topological sectors with an even or odd number of fluxes penetrating the cylinder and an even or odd number of spinons on the boundary. The energy splitting in different topological sectors is exponentially small with the cylinder perimeter. We find a power law decay of the dimer correlation function on a torus, and a lnL correction to the entanglement entropy, indicating a gapless spin-liquid phase at the optimum parameter. National Science Foundation (U.S.) (Grant DMR-1005541) National Science Foundation (U.S.) (Grant NSFC 11074140) National Science Foundation (U.S.) (Grant NSFC 11274192) 2013-08-22T13:51:37Z 2013-08-22T13:51:37Z 2013-07 2013-06 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/79916 Wang, Ling, Didier Poilblanc, Zheng-Cheng Gu, Xiao-Gang Wen, and Frank Verstraete. “Constructing a Gapless Spin-Liquid State for the Spin-1/2 J_{1}-J_{2} Heisenberg Model on a Square Lattice.” Physical Review Letters 111, no. 3 (July 2013). © 2013 American Physical Society https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1103/PhysRevLett.111.037202 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Wang, Ling Poilblanc, Didier Gu, Zheng-Cheng Wen, Xiao-Gang Verstraete, Frank Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice |
| title | Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice |
| title_full | Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice |
| title_fullStr | Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice |
| title_full_unstemmed | Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice |
| title_short | Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice |
| title_sort | constructing a gapless spin liquid state for the spin 1 2 j subscript 1 j subscript 2 heisenberg model on a square lattice |
| url | http://hdl.handle.net/1721.1/79916 https://orcid.org/0000-0002-5874-581X |
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