High precision verification of the Kosterlitz-Thouless scenario

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.

talk
statistical mechanics
dimension: 2
critical phenomena
renormalization group
XY model
numerical calculations: Monte Carlo

References(5)

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