Origin of the Pairing Interaction in the Theory of Superconductivity

Phys. Rev. B 4, 863 – Published 1 August 1971
Leon N Cooper and Birger Stölan

Abstract

A strongly coupled many-body system (a system of fermions confined in a shell surrounding the Fermi surface for which the variation in the single-particle kinetic energy is neglected) is defined. Some general properties of this system are obtained, in particular a criterion for permissible approximations. It is shown that a set of diagrams in which an electron of momentum -k and of spin ↓ interacts with many electrons of momentum k+q and spin ↑, where q does not grow too large, can be consistently extracted from the totality of graphs generated by this strongly coupled Hamiltonian. When analyzed, these lead to a ground-state and single-particle spectrum displaying the important qualitative features of a BCS superconductor.

DOI: http://dx.doi.org/10.1103/PhysRevB.4.863

  • Received 18 January 1971
  • Published in the issue dated 1 August 1971

© 1971 The American Physical Society

Authors & Affiliations

Leon N Cooper

  • Brown University, Providence, Rhode Island 02912

Birger Stölan

  • Norwegian Institute of Technology, University of Trondheim, Trondheim, Norway

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