The Binder Cumulant at the Kosterlitz-Thouless Transition

Understand

We study the behaviour of the Binder cumulant on finite square lattices at the Kosterlitz-Thouless phase transition.

• We determine the fixed point value of the Binder cumulant and the coefficient of the leading logarithmic correction.
• These calculations are supplemented with Monte Carlo simulations of the classical XY (plane rotator) model, the Villain model and the dual of the absolute value solid-on-solid model.
• Using the single cluster algorithm, we simulate lattices up to L=4096.