Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-T_c Superconductors

Details Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-T_c Superconductors Vortex Loop Phase Transitions in Liquid Helium, Cosmic Strings, and High-T_c Superconductors

1998-07-25

arxiv.org/abs/cond-mat/9807338v3

Phys.Rev.Lett. 82 (1999) 1201-1204

Physics

Condensed Matter

Statistical Mechanics

Version to appear in Phys. Rev. Lett, with a number of corrections and additions

Scientific paper

10.1103/PhysRevLett.82.1201

The distribution of thermally excited vortex loops near a superfluid phase transition is calculated from a renormalized theory. The number density of loops with a given perimeter is found to change from exponential decay with increasing perimeter to algebraic decay as T_c is approached, in agreement with recent simulations of both cosmic strings and high-T_c superconductors. Predictions of the value of the exponent of the algebraic decay at T_c and of critical behavior in the vortex density are confirmed by the simulations, giving strong support to the vortex-folding model proposed by Shenoy.

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