Publicação: Absence of Cooper-type bound states in three- and few-electron systems
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It is shown that the appearance of a fixed-point singularity in the kernel of the two-electron Cooper problem is responsible for the formation of the Cooper pair for an arbitrarily weak attractive interaction between two electrons. This singularity is absent in the problem of three and few superconducting electrons at zero temperature on the full Fermi sea. Consequently, such three- and few-electron systems on the full Fermi sea do not form Cooper-type bound states for an arbitrarily weak attractive pair interaction.
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74.20.Fg BCS theory and its development, Electron energy levels, Mathematical models, Superconductivity, Bardeen-Cooper-Scheiffer theory, Bound state, Cooper pair, Fermi liquid model, Two electron interaction, Electrons
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Inglês
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European Physical Journal B, v. 5, n. 2, p. 219-222, 1998.
