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

J. Dietel·H. Kleinert
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Abstract

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-δ} $, 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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J. Dietel, H. Kleinert. 2006-07-20. Defect induced melting of vortices in high-${\bf T_c} $ superconductors: A model based on continuum elasticity theory. https://doi.org/10.1103/physrevb.74.024515

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