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Critical properties of two-dimensional models
Abstract
Critical properties of two-dimensional classical models and (1 + 1)-dimensional quantum models are obtained by solving a general dimerized spin chain. The staggered-electric exponent of the $F$ model is derived. The central role of umklapp scattering in controlling renormalization and determining Potts-model critical exponents is pointed out. The thermal exponent of the Potts model is evaluated, and the validity of den Nijs conjecture is established. Logarithmic singularities at the multicritical point are obtained.
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Citations
Cited by
Wu, F. Y. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.235 · Cited by 3,570
Commensurate phases, incommensurate phases and the devil's staircase
Bak, P. (1982) · Reports on Progress in Physics · doi:10.1088/0034-4885/45/6/001 · Cited by 1,518
Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.60.635 · Cited by 835
Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms
Sokal, A. (1997) · NATO ASI Series · doi:10.1007/978-1-4899-0319-8_6 · Cited by 536
Phase diagrams and correlation exponents for quantum spin chains of arbitrary spin quantum number
Schulz, H. J. (1986) · Physical Review B · doi:10.1103/physrevb.34.6372 · Cited by 536
Metadata
- Authors
- Black, J. L., & Emery, V. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1981-01-01
- Volume
- 23
- Issue
- 1
- Pages
- 429-432
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2037769340
- Cited by
- 237
- References
- 0
- FWCI
- 16.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- Black, J. L., & Emery, V. J. (1981). Critical properties of two-dimensional models. Physical Review B. https://doi.org/10.1103/physrevb.23.429
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