The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Ising transition in frustrated Heisenberg models
Abstract
We derive scaling equations for a 2D square Heisenberg model where frustration spontaneously breaks the ${Z}_{4}$ lattice symmetry. At short distances, the model behaves as two interpenetrating N\'eel sublattices. Short-wavelength fluctuations couple these sublattices, driving a crossover to single-lattice behavior at long distances and generating an Ising order parameter. When the spin-correlation and crossover lengths become comparable, there exists a finite-temperature Ising phase transition independent of the subsequent development of a sublattice magnetization.
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Citations
Cites
The Resonating Valence Bond State in La 2 CuO 4 and Superconductivity
Anderson, P. W. (1987) · Science · doi:10.1126/science.235.4793.1196 · Cited by 7,719
Low-temperature behavior of two-dimensional quantum antiferromagnets
Chakravarty, S., Halperin, B. I., & Nelson, D. R. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.1057 · Cited by 883
Order as an effect of disorder
Villain, J., Bidaux, R., Carton, J.-P., & Conte, R. (1980) · Journal de physique · doi:10.1051/jphys:0198000410110126300 · Cited by 819
Ordering due to disorder in a frustrated vector antiferromagnet
Henley, C. L. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.2056 · Cited by 663
Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets
Read, N., & Sachdev, S. (1989) · Physical Review Letters · doi:10.1103/physrevlett.62.1694 · Cited by 635
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
Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.1029 · Cited by 512
Monte Carlo simulations of the spin-(1/2 Heisenberg antiferromagnet on a square lattice
Reger, J. D., & Young, A. P. (1988) · Physical Review B · doi:10.1103/physrevb.37.5978 · Cited by 503
Possible spin-liquid state at largeSfor the frustrated square Heisenberg lattice
Chandra, P., & Doucot, B. (1988) · Physical Review B · doi:10.1103/physrevb.38.9335 · Cited by 479
Self-citationGround-state properties of the two-dimensional antiferromagnetic Heisenberg model
Gross, M., Sánchez-Velasco, E., & Siggia, E. D. (1989) · Physical review. B, Condensed matter · doi:10.1103/physrevb.39.2484 · Cited by 113
Cited by
Spin-Peierls, valence-bond solid, and Néel ground states of low-dimensional quantum antiferromagnets
Read, N., & Sachdev, S. (1990) · Physical Review B · doi:10.1103/physrevb.42.4568 · Cited by 493
High-temperature superconductivity in iron pnictides and chalcogenides
Si, Q., Yu, R., & Abrahams, E. (2016) · Nature Reviews Materials · doi:10.1038/natrevmats.2016.17 · Cited by 445
Nandi, S., Kim, M. G., Kreyssig, A., Fernandes, R. M., Pratt, D. K., Thaler, A., Ni, N., Bud’ko, S. L., Canfield, P. C., Schmalian, J., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.057006 · Cited by 425
Tanaka, H. (2012) · The European Physical Journal E · doi:10.1140/epje/i2012-12113-y · Cited by 347
Mambrini, M., Läuchli, A., Poilblanc, D., & Mila, F. (2006) · Physical Review B · doi:10.1103/physrevb.74.144422 · Cited by 214
Metadata
- Authors
- Chandra, P., Coleman, P., & Larkin, A. I.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1990-01-01
- Volume
- 64
- Issue
- 1
- Pages
- 88-91
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1997242268
- Cited by
- 408
- References
- 12
- FWCI
- 6.70
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chandra, P., Coleman, P., & Larkin, A. I. (1990). Ising transition in frustrated Heisenberg models. Physical Review Letters. https://doi.org/10.1103/physrevlett.64.88
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
