St. Bramwell et al., STATIC AND DYNAMIC MAGNETIC-PROPERTIES OF RB2CRCL4 - IDEAL 2D-XY BEHAVIOR IN A LAYERED MAGNET, Journal of the Physical Society of Japan, 64(8), 1995, pp. 3066-3071
The layered XY ferromagnet Rb-2 CrCl4 has been studied experimentally
for a number of years with the aim of establishing to what extent the
characteristic properties of the 2D-XY model, in particular the Koster
litz-Thouless-Berezinskii (KTB) phase transition, survive in a system
with weak interlayer exchange coupling. We are now able to give a defi
nitive answer to this question, following a deeper understanding of th
e properties of the 2D-X Y model. Simple length scale arguments and sp
in wave calculations suggest that the layered magnet is equivalent to
an ideal 2D-XY system of an effective finite size determined by the in
terlayer exchange. We show that this hypothesis, when combined with a
recent renormalisation group approach to the finite size 2D-XYmodel, i
s sufficient to completely explain the results of diverse neutron scat
tering and other experiments on Rb2CrCl4. Our conclusion is that, exce
pt in a narrow 3D critical region, Rb2CrCl4 behaves as a finite 2D-XY
system, with a broadened KTB transition occuring in the presence of th
ree-dimensional long range order.