Absence of Cooper-type bound states in three- and few-electron systems

Details Absence of Cooper-type bound states in three- and few-electron systems Absence of Cooper-type bound states in three- and few-electron systems

1998-05-19

arxiv.org/abs/cond-mat/9805235v1

Eur. Phys. J. B, 5 (1998) 219

Physics

Condensed Matter

Superconductivity

10 pages. Accepted in European Physical Journal B

Scientific paper

10.1007/s100510050437

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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