Sa. Hayward et Ekh. Salje, LOW-TEMPERATURE PHASE-DIAGRAMS - NONLINEARITIES DUE TO QUANTUM-MECHANICAL SATURATION OF ORDER PARAMETERS, Journal of physics. Condensed matter, 10(6), 1998, pp. 1421-1430
At low temperatures, the behaviour of structural phase transitions is
modified by the influence of quantum fluctuations. Such fluctuations e
nhance the stability of the high-symmetry phase, reducing the observed
transition temperature.The effect on phase diagrams of temperature ve
rsus some other control parameter (e.g. pressure or chemical compositi
on) is described. A simple low-temperature extension of Landau theory
is used, where the extent of quantum mechanical effects is characteriz
ed by a saturation temperature theta(S). The theory is used to model t
he phase diagrams of the mineral anorthoclase (theta(S) = 271 K), the
ferroelectric materials KH2PO4 (theta(S) = 49 K), SrTiO3 (theta(S) = 2
0 K for the 20 K transition), KTaO3 (theta(S) = 20 K) and SbSI (theta(
S) = 0 K). The saturation temperature theta(S) is related to the exten
t to which changes in the hard phonon modes influence the transition m
echanism.