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

Gary A. Williams

DOI 10.1103/PhysRevLett.82.1201 · Physical Review Letters

T1

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Abstract

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 an exponential decay with increasing perimeter to an algebraic decay as Tc is approached, in agreement with recent simulations of both cosmic strings and high- Tc superconductors. Predictions of the value of the exponent of the algebraic decay at Tc and of the 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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FormulaReported Tc (K)Pressure (GPa)Type
He4

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2.172Pressure not reportedunknown

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