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Nature of the Spin-Liquid Ground State of theS=1/2Heisenberg Model on the Kagome Lattice
Abstract
We perform a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to 16,000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short-range decay in spin, dimer and chiral correlation functions, and finite topological entanglement γ consistent with γ=log(2)2, ruling out gapless, chiral, or nontopological spin liquids in favor of a topological spin liquid of quantum dimension 2, with strong evidence for a gapped topological Z(2) spin liquid.
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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 in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Self-citationSpin liquids in frustrated magnets
Balents, L. (2010) · Nature · doi:10.1038/nature08917 · Cited by 4,316
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Self-citationStudying Two-Dimensional Systems with the Density Matrix Renormalization Group
Stoudenmire, E. M., & White, S. R. (2012) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-020911-125018 · Cited by 451
Cited by
Orús, R. (2014) · Annals of Physics · doi:10.1016/j.aop.2014.06.013 · Cited by 2,255
Colloquium : Herbertsmithite and the search for the quantum spin liquid
Norman, M. R. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.041002 · Cited by 580
Time-evolving a matrix product state with long-ranged interactions
Zaletel, M. P., Mong, R. S. K., Karrasch, C., Moore, J. E., & Pollmann, F. (2015) · Physical Review B · doi:10.1103/physrevb.91.165112 · Cited by 323
Spin liquid phase of theS=12J1−J2Heisenberg model on the triangular lattice
Zhu, Z., & White, S. R. (2015) · Physical Review B · doi:10.1103/physrevb.92.041105 · Cited by 273
Algorithms for finite projected entangled pair states
Lubasch, M., Cirac, J. I., & Bañuls, M.-C. (2014) · Physical Review B · doi:10.1103/physrevb.90.064425 · Cited by 205
Metadata
- Authors
- Depenbrock, S., McCulloch, I. P., & Schollwöck, U.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-08-07
- Volume
- 109
- Issue
- 6
- Pages
- 067201-067201
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2013681083
- Cited by
- 636
- References
- 5
- FWCI
- 39.76
- Type
- journal article
- Language
- en
- Open access
- closed
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- Depenbrock, S., McCulloch, I. P., & Schollwöck, U. (2012). Nature of the Spin-Liquid Ground State of theS=1/2Heisenberg Model on the Kagome Lattice. Physical Review Letters. https://doi.org/10.1103/physrevlett.109.067201
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