Quantitative study of the Kosterlitz-Thouless phase transition in an XY model of two-dimensional plane rotators: High-temperature expansions to order beta 20.

作者: P. Butera , M. Comi

DOI: 10.1103/PHYSREVB.47.11969

关键词:

摘要: High-temperature series expansions of the spin-spin correlation function for plane rotator (or XY) model on square lattice are extended by three terms through order β 20 . Tables expansion coefficients reported spherical moments l=0, 1, 2. The 15 vorticity also tabulated. Our analysis supports Kosterlitz-Thouless predictions structure critical singularities and leads to fairly accurate estimates parameters

参考文章(69)
A J Guttmann, The critical behaviour of two-dimensional isotropic spin systems Journal of Physics A. ,vol. 11, pp. 545- 553 ,(1978) , 10.1088/0305-4470/11/3/014
M. Ferer, M. J. Velgakis, High-temperature critical behavior of two-dimensional planar models: A series investigation Physical Review B. ,vol. 27, pp. 314- 325 ,(1983) , 10.1103/PHYSREVB.27.314
Herbert W. Hamber, John L. Richardson, Strong-coupling expansions for truncated Hamiltonian O(n)-spin systems Physical Review B. ,vol. 23, pp. 4698- 4708 ,(1981) , 10.1103/PHYSREVB.23.4698
M Kolb, R Jullien, P Pfeuty, Finite lattice calculation of the quantum mechanical n-vector model Journal of Physics A. ,vol. 15, pp. 3799- 3814 ,(1982) , 10.1088/0305-4470/15/12/030
P G Hornby, M N Barber, Perturbation series for the mass gap of the (1+1)-dimensional O(2)-model Journal of Physics A. ,vol. 18, pp. 827- 832 ,(1985) , 10.1088/0305-4470/18/5/015
C R Allton, C J Hamer, The (1+1)DO(2) model: a finite lattice analysis Journal of Physics A. ,vol. 21, pp. 2417- 2429 ,(1988) , 10.1088/0305-4470/21/10/019
Masuo Suzuki, Seiji Miyashita, Akira Kuroda, Chikao Kawabata, Monte Carlo simulations of the two-dimensional quantal and classical spin systems — A new type of phase transition with vortices☆ Physics Letters A. ,vol. 60, pp. 478- 480 ,(1977) , 10.1016/0375-9601(77)90061-5
C. Kawabata, K. Binder, Evidence for vortex formation in Monte Carlo studies of the two-dimensional XY-model Solid State Communications. ,vol. 22, pp. 705- 710 ,(1977) , 10.1016/0038-1098(77)90255-1