The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
Open accessAbstract
Exact spectra of periodic samples are computed up to N=36. Evidence of an extensive set of low-lying levels, lower than the softest magnons, is exhibited. These low-lying quantum states are degenerated in the thermodynamic limit; their symmetries and dynamics as well as their finite-size scaling are strong arguments in favor of N\'eel order. It is shown that the N\'eel order parameter agrees with first-order spin-wave calculations. A simple explanation of the low-energy dynamics is given as well as the numerical determinations of the energies, order parameter, and spin susceptibilities of the studied samples. It is shown how suitable boundary conditions, which do not frustrate N\'eel order, allow the study of samples with N=3p+1 spins. A thorough study of these situations is done in parallel with the more conventional case N=3p.
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Cites
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On the ground state properties of the anisotropic triangular antiferromagnet
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Simple Variational Wave Functions for Two-Dimensional Heisenberg Spin-½ Antiferromagnets
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Monte Carlo simulations of the spin-(1/2 Heisenberg antiferromagnet on a square lattice
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Phase transitions in quantum spin systems with isotropic and nonisotropic interactions
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Cited by
Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
Sorella, S., Otsuka, Y., & Yunoki, S. (2012) · Scientific Reports · doi:10.1038/srep00992 · Cited by 329
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
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
Tsujii, H., R. Rotundu, C., Andraka, B., Takano, Y., Kageyama, H., & Ueda, Y. (2011) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.80.043707 · Cited by 19
Metadata
- Authors
- Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1994-10-01
- Volume
- 50
- Issue
- 14
- Pages
- 10048-10062
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W2058698969
- Cited by
- 406
- References
- 37
- FWCI
- 2.88
- Type
- journal article
- Language
- en
- Open access
- green
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- Bernu, B., Lecheminant, P., Lhuillier, C., & Pierre, L. (1994). Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice. Physical Review B. https://doi.org/10.1103/physrevb.50.10048
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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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