MONTE-CARLO STUDY OF THE FERROMAGNETIC 6-STATE CLOCK MODEL ON THE TRIANGULAR LATTICE

Citation
S. Fujiki et T. Horiguchi, MONTE-CARLO STUDY OF THE FERROMAGNETIC 6-STATE CLOCK MODEL ON THE TRIANGULAR LATTICE, Journal of the Physical Society of Japan, 64(4), 1995, pp. 1293-1304
Citations number
17
Categorie Soggetti
Physics
ISSN journal
00319015
Volume
64
Issue
4
Year of publication
1995
Pages
1293 - 1304
Database
ISI
SICI code
0031-9015(1995)64:4<1293:MSOTF6>2.0.ZU;2-2
Abstract
A Monte Carlo study is carried out on the six-state clock model on the triangular lattice. Physical quantities which characterize the Koster litz-Thouless (KT) phase transition are calculated. The temperature de pendence of the exponent of the spin-pair correlation function, eta(T) , in the KT phase is obtained precisely. The exponential divergence of the correlation length, xi similar to exp (at(-b)), with the theoreti cal value, b=0.5, gives a good fit to the data by the present MC simul ations by choosing a=1.6 similar to 1.8, eta=0.23 similar to 0.25 at t he upper critical temperature T-U=1.46 similar to 1.49. However, the c hoice of critical parameters, a similar to 3.1, b similar to 0.3 and e ta similar to 0.28 at T-U similar to 1.53 gives the most consistent re sult by a finite-size scaling analysis on several physical quantities. The lower critical temperature, T-L, is estimated to be 1.1.