R. Martonak et al., QUANTUM FLUCTUATIONS DRIVEN ORIENTATIONAL DISORDERING - A FINITE-SIZESEALING STUDY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 2184-2194
The orientational ordering transition is investigated in the quantum g
eneralization of the anisotropic-planar-rotor model in the low-tempera
ture regime. The phase diagram of the model is first analyzed within t
he mean-field approximation. This predicts at T=O a phase transition f
rom the ordered to the disordered phase when the strength of quantum f
luctuations, characterized by the rotational constant Theta, exceeds a
critical value Theta(c)(MF). As a function of temperature, mean-field
theory predicts a range of values of Theta where the system develops
long-range order upon cooling, but enters again into a disordered stat
e at sufficiently low temperatures (reentrance). The model is further
studied by means of path-integral Monte Carlo simulations in combinati
on with finite-size scaling techniques, concentrating on the region of
parameter space where reentrance is predicted to occur. The phase dia
gram determined from the simulations does not seem to exhibit reentran
t behavior; at intermediate temperatures a pronounced increase of shor
t-range order is observed rather than a genuine long-range order.