High Precision Verification of the Kosterlitz Thouless Scenario

Abstract

We verify the Kosterlitz Thouless scenario for three different SOS (solid-on-solid) models, including the dual transforms of XY-models with Villain and with cosine action. The method is based on a matching of the renormalization group (RG) flow of the candidate models with the flow of a bona fide KT model, the exactly solvable BCSOS model. We obtain high precision estimates for the critical couplings and other non-universal quantities.

6 pages, DESY 92-010

Cited by in corpus (9)

• Long-range interacting quantum systems
• The Loop Algorithm
• High Precision Renormalization Group Study of the Roughening Transition
• Logarithmic Corrections in the 2D XY Model
• Comparison of Monte Carlo Results for the 3D Ising Interface Tension and Interface Energy with (Extrapolated) Series Expansions
• A quantitative study of the Kosterlitz-Thouless phase transition in a system of two-dimensional plane rotators ( XY model ) by high temperature expansions through ${\beta }^{20}$
• Locating analytically critical temperature in some statistical systems
• The square-lattice F model revisited: a loop-cluster update scaling study
• Kinematics of Multigrid Monte Carlo