Constructing a Gapless Spin-Liquid State for the Spin-1/2 J[subscript 1]-J[subscript 2] Heisenberg Model on a Square Lattice
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Wang-2013-Constructing a gapless spin-liquid state for the spin.pdf
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Author(s)
Wang, Ling
Poilblanc, Didier
Gu, Zheng-Cheng
Wen, Xiao-Gang
Verstraete, Frank
Date Issued
July 2013
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
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
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Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.111.037202
