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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 Exciton Concept

The Exciton Concept

(p.15) 2 The Exciton Concept
Excitons and Cooper Pairs

Monique Combescot

Shiue-Yuan Shiau

Oxford University Press

Chapter 2 introduces the concept of excitons. Excitons are spatially coherent excitations extending over a macroscopic volume. Such coherent excitations can result either from atomic excitation delocalized by intersite interatomic-level Coulomb processes, as in the case of Frenkel excitons, or from the excitation of valence electrons into the conduction band, as in the case of Wannier excitons. In the latter case, the resulting electron in the conduction band and the hole left in the valence band can form a bound state through attractive intraband Coulomb processes. Wannier and Frenkel excitons follow from the same crystal Hamiltonian—electrons in a periodic ion lattice—but the various Coulomb terms are associated in a different way because of their physical differences at the one-electron level.

Keywords:   Wannier exciton, Frenkel exciton, crystal Hamiltonian, conduction band, valence band, hole, atomic excitation, intraband Coulomb process

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