The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices
Abstract
We show how the broken symmetries of the N\'eel state are embodied in the exact spectrum of the triangular Heisenberg antiferromagnet on finite lattices as small as N=21 (spectra up to N=36 have been computer). We present the first numerical evidence of an extensive set of low-lying levels that are below the softest magnons and collapse to the ground state in the thermodynamic limit. This set of quantum states represents the quantum counterpart of the classical N\'eel ground state. We develop an approach relying on the symmetry analysis and finite-size scaling and we provide new arguments in favor of an ordered ground state for the S=1/2 triangular Heisenberg model.
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Citations
Cites
Resonating valence bonds: A new kind of insulator?
Anderson, P. W. (1973) · Materials Research Bulletin · doi:10.1016/0025-5408(73)90167-0 · Cited by 2,823
An Approximate Quantum Theory of the Antiferromagnetic Ground State
Anderson, P. W. (1952) · Physical Review · doi:10.1103/physrev.86.694 · Cited by 1,333
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Simple Variational Wave Functions for Two-Dimensional Heisenberg Spin-½ Antiferromagnets
Huse, D. A., & Elser, V. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.2531 · Cited by 565
Three-sublattice order in triangular- and Kagomé-lattice spin-half antiferromagnets
Singh, R. R. P., & Huse, D. A. (1992) · Physical Review Letters · doi:10.1103/physrevlett.68.1766 · Cited by 326
Finite-size effects in Heisenberg antiferromagnets
Neuberger, H., & Ziman, T. (1989) · Physical Review B · doi:10.1103/physrevb.39.2608 · Cited by 192
Nonlinearσmodels for triangular quantum antiferromagnets
Dombre, T., & Read, N. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.6797 · Cited by 132
Ground-state properties of the two-dimensional antiferromagnetic Heisenberg model
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Cited by
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994) · Physical Review B · doi:10.1103/physrevb.50.10048 · Cited by 406
Self-citationSpin 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
Transition from theZ2spin liquid to antiferromagnetic order: Spectrum on the torus
Whitsitt, S., & Sachdev, S. (2016) · Physical Review B · doi:10.1103/physrevb.94.085134 · Cited by 24
Metadata
- Authors
- Bernu, B., Lhuillier, C., & Pierre, L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1992-10-26
- Volume
- 69
- Issue
- 17
- Pages
- 2590-2593
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2090874270
- Cited by
- 384
- References
- 12
- FWCI
- 7.88
- Type
- journal article
- Language
- en
- Open access
- closed
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- Bernu, B., Lhuillier, C., & Pierre, L. (1992). Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices. Physical Review Letters. https://doi.org/10.1103/physrevlett.69.2590
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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