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Critical behavior of commensurate-incommensurate phase transitions in two dimensions
Abstract
It is shown that there are no critical divergences on the commensurate side of the commensurate-incommensurate transition in the two-dimensional sine-Gordon system, whereas on the incommensurate side there are divergences of the specific heat and of the correlation length. The critical exponents are determined. The results are explained in terms of fluctuating domain walls between commensurate regions. This allows a generalization of some of the results to more complex systems.
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Citations
Cited by
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
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
Self-citationArovas, D. P., Berg, E., Kivelson, S. A., & Raghu, S. (2022) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031620-102024 · Cited by 441
Commensurate melting, domain walls, and dislocations
Huse, D. A., & Fisher, M. E. (1984) · Physical Review B · doi:10.1103/physrevb.29.239 · Cited by 255
Scattering particles in quantum spin chains
Vanderstraeten, L., Verstraete, F., & Haegeman, J. (2015) · Physical Review B · doi:10.1103/physrevb.92.125136 · Cited by 50
Metadata
- Authors
- Schulz, H. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1980-12-01
- Volume
- 22
- Issue
- 11
- Pages
- 5274-5277
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2046275997
- Cited by
- 246
- References
- 0
- FWCI
- 9.05
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Critical behavior of commensurate-incommensurate phase transitions in two dimensions. https://app.cochat.ai/papers/10.1103/physrevb.22.5274
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- Schulz, H. J. (1980). Critical behavior of commensurate-incommensurate phase transitions in two dimensions. Physical Review B. https://doi.org/10.1103/physrevb.22.5274
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