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Theory of Two-Dimensional Melting
Open accessAbstract
The consequences of a theory of dislocation-mediated two-dimensional melting are worked out for triangular lattices. Dissociation of dislocation pairs first drives a transition into a "liquid crystal" phase with exponential decay of translational order, but power-law decay of sixfold orientational order. A subsequent dissociation of disclination pairs at a higher temperature then produces an isotropic fluid. The critical behavior, as well as the effect of a periodic substrate, is discussed.
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Citations
Cited by
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Dislocation-mediated melting in two dimensions
Nelson, D. R., & Halperin, B. I. (1979) · Physical Review B · doi:10.1103/physrevb.19.2457 · Cited by 2,385
Self-citationThe two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films
Minnhagen, P. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1001 · Cited by 1,020
Complex plasmas: An interdisciplinary research field
Morfill, G. E., & Ivlev, A. V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1353 · Cited by 803
Metadata
- Authors
- Halperin, B. I., & Nelson, D. R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1978-07-10
- Volume
- 41
- Issue
- 2
- Pages
- 121-124
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2061399145
- Cited by
- 1,957
- References
- 0
- FWCI
- 35.80
- Type
- journal article
- Language
- en
- Open access
- bronze
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- CoChat. (2026). Citation check: Theory of Two-Dimensional Melting. https://app.cochat.ai/papers/10.1103/physrevlett.41.121
- The paper
- Halperin, B. I., & Nelson, D. R. (1978). Theory of Two-Dimensional Melting. Physical Review Letters. https://doi.org/10.1103/physrevlett.41.121
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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.
