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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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Frenkel Excitons

Frenkel Excitons

(p.108) 4 Frenkel Excitons
Excitons and Cooper Pairs

Monique Combescot

Shiue-Yuan Shiau

Oxford University Press

Chapter 4 deals with Frenkel excitons. These excitons are made of atomic excitations localized at a single lattice site. Starting from the crystal Hamiltonian, this chapter analyzes the various Coulomb processes and identifies the ones responsible for Frenkel exciton formation. It further considers electron spin states and orbital states and shows their importance in exciton physics. The last section provides tools—coboson commutator formalism and Shiva diagrams—for handling Frenkel exciton many-body effects. The study, in parallel, of Wannier and Frenkel excitons sheds light on the effect of the Pauli exclusion principle on correlated electron-hole pairs. This study in particular shows how closely Pauli blocking is associated with the dimensionless many-body parameter ruling exciton many-body effects, this understanding being supported by Cooper pairs.

Keywords:   Frenkel exciton, crystal Hamiltonian, spin state, orbital state, many-body effect, Pauli blocking, many-body parameter, Shiva diagram, coboson commutator formalism

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