The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Possibility of a Phase Transition for the Two-Dimensional Heisenberg Model
Abstract
We point out that the existence of a phase transition-as indicated by extrapolation from high-temperature expansions-is as well-founded for two-dimensional lattices with nearest-neighbor ferromagnetic Heisenberg interactions as for three-dimensional lattices, and that the "well-known result" that there exists no phase transition in two dimensions is not a valid conclusion from the standard spin-wave argument.
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Citations
Cites
Zur Theorie des Ferromagnetismus
Bloch, F. (1930) · Zeitschrift f�r Physik · doi:10.1007/bf01339661 · Cited by 1,172
Kranendonk, J. V., & Vleck, J. H. V. (1958) · Reviews of Modern Physics · doi:10.1103/revmodphys.30.1 · Cited by 291
Elements of Solid State Theory.
(1960) · Zeitschrift für Physikalische Chemie · doi:10.1524/zpch.1960.26.5_6.436 · Cited by 107
Cited by
Mermin, N. D., & Wagner, H. (1966) · Physical Review Letters · doi:10.1103/physrevlett.17.1133 · Cited by 8,363
An introduction to lattice gauge theory and spin systems
Kogut, J. B. (1979) · Reviews of Modern Physics · doi:10.1103/revmodphys.51.659 · Cited by 2,029
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters
Wegner, F. J. (1971) · Journal of Mathematical Physics · doi:10.1063/1.1665530 · Cited by 1,011
Theoretical and experimental studies on one-dimensional magnetic systems
Steiner, M., Villain, J., & Windsor, C. G. (1976) · Advances in Physics · doi:10.1080/00018737600101372 · Cited by 746
Monte Carlo study of the planar spin model
Tobochnik, J., & Chester, G. V. (1979) · Physical Review B · doi:10.1103/physrevb.20.3761 · Cited by 447
Metadata
- Authors
- Stanley, H. E., & Kaplan, T. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1966-10-24
- Volume
- 17
- Issue
- 17
- Pages
- 913-915
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1978918009
- Cited by
- 440
- References
- 3
- FWCI
- 9.48
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
