Quantum Effects in Two-Dimensional X-Y Model
Quantum effects in the two-dimensional X-Y model are discussed keeping in mind the problem whether the quantum X-Y model in two dimensions shows the Kosterlitz-Thouless transition, which is driven by the appearance of topological disorder in the spin configuration, as the classical X-Y model. Quantum effects are treated as perturbations to the classical model, which corresponds to the limit that the magnitude of spin S→∞, by using the 1/s-expansion, where s = [ S(S+1) ]1/2.
KeywordsRenormalization Group Coherent State Quantum Effect Renormalization Group Analysis Renormalization Group Approach
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- 1.J.M. Kosterlitz and D.J. Thouless, J. Phys. C6 (1973) 1181. J.M. Kosterlitz, J. Phys. C7 (1974) 1046.Google Scholar
- 2.W.J. Camp and J.P. Van Dyke, J. Phys. C8 (1975) 336. A. J. Guttmann, J. Phys. All (1978) 545.Google Scholar
- 3.J. Rogiers, E.W. Grundke and D.D. Betts, Can. J. Phys. 57 (1979) 1719.Google Scholar
- 4.M. Suzuki, S. Miyashita and A. Kuroda, Prog. Theor. Phys. 58 (1977) 1377.Google Scholar
- 7.D.R. Nelson and R. A. Pelcovits, Phys. Rev. IB16 (1977) 2191. R.A. Pelcovits and D.R. Nelson, Phys. Lett. 57A (1976) 23.Google Scholar
- 8.E. Brezin, J. Zinn-Justin and J. C. Le Guillou, Phys. Rev. B14 (1976) 4976; Phys. Rev. D14 (1976) 2615.Google Scholar