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The critical properties of the two-dimensional xy model
Open accessAbstract
The critical properties of the xy model with nearest-neighbour interactions on a two-dimensional square lattice are studied by a renormalization group technique. The mean magnetization is zero for all temperatures, and the transition is from a state of finite to one of infinite susceptibility. The correlation length is found to diverge faster than any power of the deviation from the critical temperature. Analogues of the strong scaling laws are derived and the critical exponents, eta , and delta , are the same as for the two-dimensional Ising model.
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Cited by
Boson localization and the superfluid-insulator transition
Fisher, M. P. A., Weichman, P. B., Grinstein, G., & Fisher, D. S. (1989) · Physical Review B · doi:10.1103/physrevb.40.546 · Cited by 3,512
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
Exact evolution equation for the effective potential
Wetterich, C. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90726-x · Cited by 2,272
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
Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548
Metadata
- Authors
- Kosterlitz, J. M.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1974-03-21
- Volume
- 7
- Issue
- 6
- Pages
- 1046-1060
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2067520844
- Cited by
- 2,880
- References
- 0
- FWCI
- 12.51
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kosterlitz, J. M. (1974). The critical properties of the two-dimensional xy model. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/7/6/005
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