K. Harada et N. Kawashima, UNIVERSAL JUMP IN THE HELICITY MODULUS OF THE 2-DIMENSIONAL QUANTUM XY MODEL, Physical review. B, Condensed matter, 55(18), 1997, pp. 11949-11952
The helicity modulus of the S=1/2 XY model is precisely estimated thro
ugh a world-line quantum Monte Carlo method enhanced by a cluster upda
te algorithm. The obtained estimates for various system sizes and temp
eratures are well fitted by a scaling form with L replaced by log(L/L-
0), which is inferred from the solution of the Kosterlitz renormalizat
ion group equation. The validity of the Kosterlitz-Thouless theory for
this model is confirmed.