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Excitons and Cooper PairsTwo Composite Bosons in Many-Body Physics$
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Monique Combescot and Shiue-Yuan Shiau

Print publication date: 2015

Print ISBN-13: 9780198753735

Published to Oxford Scholarship Online: March 2016

DOI: 10.1093/acprof:oso/9780198753735.001.0001

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The Cooper Pair Problem

The Cooper Pair Problem

(p.193) 6 The Cooper Pair Problem
Excitons and Cooper Pairs

Monique Combescot

Shiue-Yuan Shiau

Oxford University Press

Chapter 6 introduces the BCS theory of superconductivity, proposed in 1957 by Bardeen, Cooper, and Schrieffer and which is based on the idea that electrons form a coherent state of electron pairs with opposite spins and opposite momenta. It then briefly explains how, along the Fröhlich idea, the electron-phonon interaction can lead to the ion-mediated attractive potential for Cooper pairing. Next, it introduces the reduced BCS potential, which acts between electrons having opposite spins and opposite momenta. Finally, this chapter discusses the drastic consequence of the reduced BCS potential on Cooper pair interaction and explains why Cooper pairs can strongly overlap without dissociating.

Keywords:   superconductivity, Fröhlich idea, reduced BCS potential, electron-phonon interaction, Cooper pairing, BCS theory

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