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Generalized BEC and Crossover Theories of Superconductors and Ultracold Bosonic and Fermionic Gases

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Abstract

The generalized Bose-Einstein condensation (GBEC) theory of superconductivity hinges on three distinct new ingredients: (a) treatment of Cooper pairs as real bosons, (b) inclusion of two-hole pairs on an equal footing with two-electron ones, and (c) insertion in the resulting ternary ideal boson-fermion gas of boson-fermion vertex interactions that drive formation/disintegration processes. Besides subsuming both BCS and BEC theories as well as the well-known crossover picture as special cases, GBEC leads to several-orders-of-magnitude enhancements in the critical superconducting temperature T c . The crossover picture is applicable also to ultracold atomic clouds, both bosonic and fermionic. But known low-density expansions involving the interatomic scattering length a diverge term-by-term around the so-called unitary zone about the Feshbach resonance where a itself diverges. However, expanding a in powers of the attractive part of the interatomic potential renders smooth, divergence-free low-density expansions whose convergence can be accelerated with Padé approximants.

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Acknowledgments

IC thanks CONACyT (Mexico) for postgraduate grant 260978, MG acknowledges partial support from UNAM-DGAPA-PAPIIT (Mexico) grant IN116914 and MdeLl from UNAM-DGAPA-PAPIIT (Mexico) grant IN100314.

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Authors and Affiliations

  1. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Apdo. Postal 70-360, 04360, México, DF, Mexico

    I. Chávez & M. de Llano

  2. Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510, México, DF, Mexico

    M. Grether

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  1. I. Chávez
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  2. M. Grether
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  3. M. de Llano
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Correspondence to I. Chávez.

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Chávez, I., Grether, M. & de Llano, M. Generalized BEC and Crossover Theories of Superconductors and Ultracold Bosonic and Fermionic Gases. J Supercond Nov Magn 29, 691–695 (2016). https://doi.org/10.1007/s10948-015-3288-y

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  • DOI: https://doi.org/10.1007/s10948-015-3288-y

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