Electron pair forming in an integrable model

2010/01/19 by Jan Naudts, Naudts, Jan, Tobias Verhulst +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.1001.3291

2 pages

arxiv created 2010/01/19 · arxiv updated 2010/02/26

Abstract

We consider a lattice model in which phonons scatter with pairs of electrons. All eigenvalues and eigenvectors can be obtained analytically. For a suitable choice of parameters the ground state consists of a Fermi sea of non-interacting electrons, with on top a layer of paired electrons. The binding energy of the electron pairs is partly cancelled by an increased kinetic energy. This results in a gap in the kinetic energy spectrum of the electrons.

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