A mechanism for electron pair formationA mechanism for electron pair formation
Faculty of Sciences. Physics
Modern physics letters B. - Singapore
25(2011):14, p. 1167-1177
University of Antwerp
We consider a lattice model in which phonons scatter with pairs of electrons carrying a net spin current. All the energy eigenvalues and eigenvectors of this model can be obtained analytically. For a suitable choice of parameters the ground state consists of a Fermi sea of non-interacting electrons, with a layer of paired electrons on top of it. The binding energy of one electron pair is partly canceled by increased kinetic energy of another pair of electrons. This results in a momentum-dependent gap in the spectrum of the electrons.