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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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Trions, Biexcitons, and Polaritons

Trions, Biexcitons, and Polaritons

(p.313) 12 Trions, Biexcitons, and Polaritons
Excitons and Cooper Pairs

Monique Combescot

Shiue-Yuan Shiau

Oxford University Press

Chapter 12 introduces three composite particles related to excitons: the trion, which is made of one exciton and a carrier; the biexciton, which is made of two excitons; and the exciton-polariton, which is made of one exciton coupled to a photon. Trions are composite fermions, while biexcitons and exciton-polaritons are composite bosons. The chapter also discusses the important role of spin and orbital degrees of freedom in semiconductor trions and biexcitons. The spin wave functions of electron and hole pairs in a trion or biexciton affect their orbital wave function and consequently their energy. In particular, since the orbital part of the ground state must be an even function with respect to fermion exchange, electrons, as well as holes, form a spin singlet state in the trion or biexciton ground state.

Keywords:   trion, biexciton, exciton-polariton, spin wave function, orbital wave function, composite fermion, composite boson, ground state, singlet state

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