Springer LINK: The European Physical Journal B - Abstract Volume 5 Issue 2 (1998) pp 219-222

The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

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Abstract Volume 5 Issue 2 (1998) pp 219-222

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

S.K. Adhikari (1) (a), T. Frederico (2)

(1) Instituto de Física Teórica, Universidade Estadual Paulista, 01.405-900 S ao Paulo, S ao Paulo, Brazil
(2) Departamento de Física, Instituto Tecnológico Aeronautica, Centro Técnico Aeroespacial, 12228-900 S ao José dos Campos, S ao Paulo, Brazil

Received: 9 February 1998 / Revised and Accepted: 13 May 1998

Abstract: 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.

PACS. 74.20.Fg BCS theory and its development

(a) John Simon Guggenheim Memorial Foundation Fellow.

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