Defect induced melting of vortices in high-${\bf T_c} $ superconductors: A model based on continuum elasticity theory

Details Defect induced melting of vortices in high-${\bf T_c} $ superconductors: A model based on continuum elasticity theory Defect induced melting of vortices in high-${\bf T_c} $ superconductors: A model based on continuum elasticity theory

2005-11-29

arxiv.org/abs/cond-mat/0511710v2

Phys. Rev. B 74, 024515 (2006)

Physics

Condensed Matter

Superconductivity

7 pages, 2 figures, typos corrected, Extended final version published in PRB

Scientific paper

10.1103/PhysRevB.74.024515

We set up a melting model for vortex lattices in high-temperature superconductors based on the continuum elasticity theory. The model is Gaussian and includes defect fluctuations by means of a discrete-valued vortex gauge field. We derive the melting temperature of the lattice and predict the size of the Lindemann number. Our result agrees well with experiments for $ {\rm YBa}_2 {\rm Cu}_3 {\rm O}_{7-\delta} $, and with modifications also for $ {\rm Bi}_2 {\rm Sr}_2 {\rm Ca} {\rm Cu}_2 {\rm O}_8 $ . We calculate the jumps in the entropy and the magnetic induction at the melting transition.

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