BCS and generalized BCS superconductivity in relativistic quantum field theory. I. formulation

Physics – Condensed Matter – Superconductivity

Scientific paper

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31 pages

Scientific paper

10.1103/PhysRevB.65.024512

We investigate the BCS and generalized BCS theories in the relativistic quantum field theory. We select the gauge freedom as U(1), and introduce a BCS-type effective attractive interaction. After introducing the Gor'kov formalism and performing the group theoretical consideration of the mean fields, we solve the relativistic Gor'kov equation and obtain the Green's functions in analytical forms. We obtain various types of gap equations.

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