[16] Binder's cumulant for the Kosterlitz-Thouless transition

We show that the use of Binder's cumulant $U=1-(M^4)/3 (M^2)^2$ is very useful to study the Kosterlitz-Thouless transition on two dimensional $XY$ systems. We are able to calculate the critical exponent $\eta$ without the knowledge of the critical temperature and exclude the possibility of a power law behavior.