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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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Elementary Bosons, Wannier Excitons, and Frenkel Excitons

Elementary Bosons, Wannier Excitons, and Frenkel Excitons

Chapter:
(p.178) 5 Elementary Bosons, Wannier Excitons, and Frenkel Excitons
Source:
Excitons and Cooper Pairs
Author(s):

Monique Combescot

Shiue-Yuan Shiau

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198753735.003.0005

Chapter 5 highlights the similarities and differences between Wannier excitons, Frenkel excitons, and elementary bosons. With the help of the coboson many-body formalism, it emphasizes the difference between the fermionic components of Wannier and Frenkel excitons and the importance of their degrees of freedom. This chapter also compares these two particles with respect to their Pauli scatterings, Coulomb scatterings, closure relations, normalization factors, many-body parameters, and ground-state energies in the Born approximation. In addition, the chapter discusses how the Pauli exclusion principle (Pauli blocking) between the exciton fermionic components is seen in the “moth-eaten effect” through the reduction of the number of electron-hole pair states available to form excitons.

Keywords:   Wannier exciton, Frenkel exciton, elementary boson, coboson many-body formalism, Pauli scattering, Coulomb scattering, closure relation, many-body parameter, ground-state energy, moth-eaten effect

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