Defect induced melting of vortices in high- Tc superconductors: A model based on continuum elasticity theory
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 YBa2 Cu3 O7-δ , and with modifications also for Bi2 Sr2 Ca Cu2 O8 . We calculate the jumps in the entropy and the magnetic induction at the melting transition.
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