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
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.