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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 Fermions

Elementary Fermions

(p.417) 18 Elementary Fermions
Excitons and Cooper Pairs

Monique Combescot

Shiue-Yuan Shiau

Oxford University Press

Chapter 18 first considers free elementary fermions for zero and finite temperatures. At T = 0, free elementary fermions form a Fermi sea because of the Pauli exclusion principle. At finite T, some fermions are thermally excited out of the Fermi sea over an energy scale that is small compared to the Fermi energy in the degenerate or quantum limit. Fermions can also be excited out of the Fermi sea through fermion-fermion interaction. Although bosons and fermions follow drastically different quantum statistics, they share similarities with respect to interaction effects: the chapter points out analogies between the singular correlation energy of interacting bosons and that of interacting fermions. To connect elementary bosons with composite bosons, the chapter also considers electron-hole systems and discusses the relative stability of the exciton gas with respect to electron-hole plasma, the resulting electron-hole phase diagram, and the formation of electron-hole droplets via Mott dissociation.

Keywords:   Fermi sea, electron-hole system, electron-hole plasma, exciton gas, electron-hole droplet, correlation energy, quantum statistics, electron-hole phase diagram, Mott dissociation

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