Coherence factors beyond the BCS result

G. Gorohovsky*, E. Bettelheim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The dynamics of BCS (Bardeen-Cooper-Schrieffer) superconductors is fairly well understood due to the availability of a mean-field solution for the pairing Hamiltonian, a solution which gives the quantum state of a superconductor as a state of almost-free fermions interacting only with a condensate. As a result, transition probabilities may be computed, and expressed in terms of matrix elements of electron creation and annihilation operators between approximate eigenstates. These matrix elements are also called "coherence factors." Mean-field theory is however not sufficient to describe all eigenstates of a superconductor, a deficiency which is hardly important in (or very close to) equilibrium, but one that becomes relevant in certain out-of-equilibrium situations. We report here on a computation of matrix elements (coherence factors) for the pairing Hamiltonian between any "two-arc" eigenstates in the thermodynamic limit.

Original languageAmerican English
Article number060510
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number6
StatePublished - 26 Aug 2013


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