True and quasi-long-range order in the generalized q-state clock model.
From consideration of the order-parameter distribution, we propose an observable which makes a clear distinction between true and quasi-long-range orders in the two-dimensional generalized q-state clock model. Measuring this quantity by Monte Carlo simulations for q=8, we construct a phase diagram and identify critical properties across the phase-separation lines among the true long-range order, quasi-long-range order, and disorder. Our result supports the theoretical prediction that there appears a discontinuous order-disorder transition as soon as the two phase-separation lines merge.
Baek
Seung Ki
SK
Department of Physics, Umeå University, 901 87 Umeå, Sweden.
Minnhagen
Petter
P
Kim
Beom Jun
BJ
D000465:Algorithms; D003198:Computer Simulation; D008956:Models, Chemical; D015233:Models, Statistical