6533b7cffe1ef96bd12583cb

RESEARCH PRODUCT

Scaling Behavior of the 2D XY Model Revisited

Wolfhard Janke

subject

PhysicsPhase transitionLogarithmMonte Carlo methodMultiplicative functionPhase (waves)Classical XY modelScalingSquare (algebra)Mathematical physics

description

Using two sets of high-precision Monte Carlo data for the two-dimensional XY model in the Villain formulation on square L × L lattices, the scaling behavior of the susceptibility χ and correlation length ξ in the vicinity of the Kosterlitz-Thouless phase transition is analyzed with emphasis on multiplicative logarithmic corrections (ln ξ)-2r in the high-temperature phase and (ln L)-2r in the finite-size scaling region, respectively.

https://doi.org/10.1007/978-3-642-46851-3_30