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Coherence length and vortex filament in the boson-fermion model of superconductivity

R. Friedberg, T. D. Lee, H. C. Ren

DOI 10.1103/PhysRevB.42.4122 · Physical Review B

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Abstract

The boson-fermion model of high-Tc superconductivity is based on the dominance of the ‘‘s-channel’’ reaction 2e→φ→2e, where φ is a local field, representing phenomenologically the pair state. We show that in this model the coherence length ξ can be calculated and is very small, consistent with observation. This, in turn, justifies the local-field approximation. The relevance of Bose-Einstein condensation is discussed; in this theory, the critical temperature can be much higher than that in the BCS theory. We also examine the vortex filament and the critical magnetic fields Hc1 and Hc2.

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