Direct evidence of the discontinuous character of the Kosterlitz-Thouless jump

2003/04/10 by Petter Minnhagen, Beom Jun Kim · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.67.172509

published as Phys. Rev. B 67, 172509 (2003) · 4 pages, to appear in PRB

arxiv created 2003/04/10 · openalex publication_date 2003/05/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is numerically shown that the discontinuous character of the helicity modulus of the two-dimensional XY model at the Kosterlitz-Thouless (KT) transition can be directly related to a higher-order derivative of the free energy without presuming any a priori knowledge of the nature of the transition. It is also suggested that this higher-order derivative is of intrinsic interest in that it gives an additional characteristic of the KT transition which might be associated with a universal number akin to the universal value of the helicity modulus at the critical temperature.

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• Berezinskii–Kosterlitz–Thouless transition with a constraint lattice action

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