Direct Evidence of the Discontinuous Character of the Kosterlitz-Thouless Jump

Details Direct Evidence of the Discontinuous Character of the Kosterlitz-Thouless Jump Direct Evidence of the Discontinuous Character of the Kosterlitz-Thouless Jump

2003-04-10

arxiv.org/abs/cond-mat/0304226v1

Phys. Rev. B 67, 172509 (2003)

Physics

Condensed Matter

Superconductivity

4 pages, to appear in PRB

Scientific paper

10.1103/PhysRevB.67.172509

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 {\it 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 characteristics 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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