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- W2093904189 abstract "Employing the Bethe–Salpeter equation (BSE) and the Matsubara recipe, and invoking both the electron–electron and the hole–hole scattering channels, we establish that the binding energy (W) of a Cooper pair (CP) is real, and equals the BCS energy gap (Δ) for all T ≤ T c for a one-component superconductor. Given that the BCS theory is a generalization of the Hartree–Fock theory (generalized to allow for particle number fluctuations), the cognescenti would expect this result as a direct consequence of Koopman's theorem, proved for and well-known in the latter theory. However, this theorem is seldom mentioned in the literature on superconductivity; on the contrary, there is the statement in well-known texts that the binding energy of a CP becomes imaginary when the above-stated scattering channels are invoked for their formation. The importance of |W| = |Δ| for high-T c superconductors is brought out by replacing the one-particle propagator in the BSE by a superpropagator — a field-theoretic construct apt for dealing with composite superconductors (CSs). A set of generalized BCS equations is thus obtained which, with the input of the multiple gaps of a CS, enables one to calculate its T c uniquely. Applications of these equations will be taken up in a subsequent paper." @default.
- W2093904189 created "2016-06-24" @default.
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- W2093904189 date "2010-04-10" @default.
- W2093904189 modified "2023-09-27" @default.
- W2093904189 title "ON THE EQUIVALENCE OF THE BINDING ENERGY OF A COOPER PAIR AND THE BCS ENERGY GAP: A FRAMEWORK FOR DEALING WITH COMPOSITE SUPERCONDUCTORS" @default.
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- W2093904189 doi "https://doi.org/10.1142/s0217979210055408" @default.
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