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Odd frequency pairing in superconductors

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Abstract

The properties of a superconductor having an energy gap function Δk(ω n ) which is an odd function of frequencyω n, or time, are investigated. One finds (a) the allowed pair orbital angular momenta for spin zero and spin one are interchanged, permittingS= 0, l=1 and S=1, l=0 condensates; (b) there exists an equal-time order parameter corresponding to condensation of a spin wave coupled to two fermions, in contrast to the conventional timereversed fermion pair condensate; an explicit energy gap equation is derived for this composite operator condensate; (c) the coherence factors are shown to be reversed from those of conventional pairing, forω>2Δ, removing the peak in thea+C conductivityσ(ω) and generating a peak in theω>2Δ acoustic attenuation as a function of temperature; (d) the Josephson current vanishes between an even and odd frequency superconductor, and vanishes to leading order in the tunneling rates ∼t 212 .

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Authors and Affiliations

  1. National High Magnetic Field Laboratory and Department of Physics, Florida State University, 32308, Tallahassee, Florida

    J. R. Schrieffer

  2. Theory Division, T-11, Los Alamos National Laboratory, 87545, Los Alamos, New Mexico

    Alexander V. Balatsky

  3. Serin Physics Laboratory, Rutgers University, P.O. Box 849, 08855, Piscataway, New Jersey

    Elihu Abrahams

  4. Department of Physics, University of California, 93106, Santa Barbara, California

    Douglas J. Scalapino

Authors
  1. J. R. Schrieffer
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  2. Alexander V. Balatsky
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  3. Elihu Abrahams
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  4. Douglas J. Scalapino
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Additional information

The authors wish to acknowledge the support of the National Science Foundation, grant No. DMR92-13295 (J.R.S.) and No. DMR 92-205027 (D.J.S.). They would like to thank Leo Lilly and William Putikka for helpful discussions.

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Schrieffer, J.R., Balatsky, A.V., Abrahams, E. et al. Odd frequency pairing in superconductors. J Supercond 7, 501–504 (1994). https://doi.org/10.1007/BF00728448

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  • DOI: https://doi.org/10.1007/BF00728448

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