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Density Matrix Renormalization Group Numerical Study of the Kagome Antiferromagnet
Abstract
We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagome lattice using the density-matrix renormalization group method. We find that the ground state is a magnetically disordered spin liquid, characterized by an exponential decay of spin-spin correlation function in real space and a magnetic structure factor showing system-size independent peaks at commensurate magnetic wave vectors. We obtain a spin triplet excitation gap DeltaE(S=1)=0.055+/-0.005 by extrapolation based on the large size results, and confirm the presence of gapless singlet excitations. The physical nature of such an exotic spin liquid is also discussed.
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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
Cited by
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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
Studying 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
Yu, S.-L., & Li, J.-X. (2012) · Physical Review B · doi:10.1103/physrevb.85.144402 · Cited by 279
Tensor Network Contractions: Methods and Applications to Quantum Many-Body Systems
Ran, S.-J., Tirrito, E., Peng, C., Chen, X., Tagliacozzo, L., Su, G., & Lewenstein, M. (2020) · Lecture Notes in Physics · doi:10.1007/978-3-030-34489-4 · Cited by 176
Metadata
- Authors
- Jiang, H. C., Weng, Z. Y., & Sheng, D. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-09-10
- Volume
- 101
- Issue
- 11
- Pages
- 117203-117203
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2054423241
- Cited by
- 271
- References
- 1
- FWCI
- 11.57
- Type
- journal article
- Language
- en
- Open access
- closed
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- Jiang, H. C., Weng, Z. Y., & Sheng, D. N. (2008). Density Matrix Renormalization Group Numerical Study of the Kagome Antiferromagnet. Physical Review Letters. https://doi.org/10.1103/physrevlett.101.117203
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