Cooper pairing in a soluble one-dimensional many-fermion model
M. Casas, C. Esebbag, A. Extremera, J. M. Getino, M. de Llano, A. Plastino, H. Rubio
DOI 10.1103/PhysRevA.44.4915 · Physical Review A
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Abstract
The dynamical similarities between the three-dimensional (3D) electron fluid ‘‘jellium’’ model and the exactly soluble 1D fermion fluid with attractive δ-function pairwise potentials motivates solving the Cooper-pair problem in this model for all couplings and/or densities. This is accomplished exactly in graphical form. For weak coupling, the essential singularity characteristic of standard 3D low-temperature superconductivity reemerges, and for infinite coupling, BCS theory reproduces the exact ground-state system energy.
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