Oscillatory solutions of the BCS gap equation

M. Weger; R. Englman; B. Halperin

doi:10.1016/0038-1098(89)90164-6

Oscillatory solutions of the BCS gap equation

M. Weger^*
, R. Englman
, B. Halperin

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

When the Frohlich interaction is introduced in the BCS gap equation instead of Cooper's simplified form, and the electron-phonon coupling constant λ is negative, oscillatory solutions are obtained for the gap function Δ(ε). We argue that these oscillatory solutions may be correct mathematically for a phonon or exciton spectrum which approximates an Einstein spectrum. We also argue that these oscillatory solutions may be relevant to the high-T_c cuprates.

Original language	English
Pages (from-to)	17-22
Number of pages	6
Journal	Solid State Communications
Volume	71
Issue number	1
DOIs	https://doi.org/10.1016/0038-1098(89)90164-6
State	Published - Jul 1989

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abstract = "When the Frohlich interaction is introduced in the BCS gap equation instead of Cooper's simplified form, and the electron-phonon coupling constant λ is negative, oscillatory solutions are obtained for the gap function Δ(ε). We argue that these oscillatory solutions may be correct mathematically for a phonon or exciton spectrum which approximates an Einstein spectrum. We also argue that these oscillatory solutions may be relevant to the high-Tc cuprates.",

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AB - When the Frohlich interaction is introduced in the BCS gap equation instead of Cooper's simplified form, and the electron-phonon coupling constant λ is negative, oscillatory solutions are obtained for the gap function Δ(ε). We argue that these oscillatory solutions may be correct mathematically for a phonon or exciton spectrum which approximates an Einstein spectrum. We also argue that these oscillatory solutions may be relevant to the high-Tc cuprates.

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Oscillatory solutions of the BCS gap equation

Abstract

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