Excitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics by Monique CombescotExcitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics by Monique Combescot

Excitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics

byMonique Combescot, Shiue-Yuan Shiau

Hardcover | January 10, 2016

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This book bridges a gap between two major communities of Condensed Matter Physics, Semiconductors and Superconductors, that have thrived independently. Through an original perspective that their key particles, excitons and Cooper pairs, are composite bosons, the authors raise fundamentalquestions of current interest: how does the Pauli exclusion principle wield its power on the fermionic components of bosonic particles at a microscopic level and how this affects the macroscopic physics? What can we learn from Wannier and Frenkel excitons and from Cooper pairs that helps usunderstand "bosonic condensation" of composite bosons and its difference from Bose-Einstein condensation of elementary bosons? The authors start from solid mathematical and physical foundation to derive excitons and Cooper pairs. They further introduce Shiva diagrams as a graphic support to grasp the many-body physics induced by fermion exchange - a novel mechanism not visualized by standard Feynman diagrams. Advancedundergraduate or graduate students in physics with no prior background will benefit from this book. The developed concepts and methodology should also be useful to present researches on ultracold atomic gases, exciton-polaritons, and quantum information.
M. Combescot is a former student of the Ecole Normale Superieure in Paris, France (Mathematics and Physics majors). In 1973, she obtained her Ph.D. in condensed matter many-body theory from the University of Paris, France (adviser Prof. Ph. Nozieres). After two years of postdoc at Cornell University, USA, she returned as a research mem...
Title:Excitons and Cooper Pairs: Two Composite Bosons in Many-Body PhysicsFormat:HardcoverDimensions:560 pages, 9.69 × 6.73 × 1.31 inPublished:January 10, 2016Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019875373X

ISBN - 13:9780198753735

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Table of Contents

1. IntroductionPart I: Excitons2. The Exciton Concept3. Wannier Excitons4. Frenkel Excitons5. Elementary Bosons, Wannier Excitons, and Frenkel ExcitonsPart II: Cooper Pairs6. The Cooper Pair Problem7. The Bardeen-Cooper-Schrieffer Approach8. The Bogoliubov Approach9. The Gorkov Approach10. The Richardson-Gaudin Exact Solution11. Links Between Cooper Pairs and ExcitonsPart III: Particles Related to Excitons12. Trions, Biexcitons, and Polaritons13. Trions14. Biexcitons15. PolaritonsPart IV: Bosonic Condensation16. From Elementary to Composite Boson Condensates17. Elementary Bosons18. Elementary Fermions19. Composite BosonsAppendix A: Some Mathematical ResultsA.1 The Kronecker symbol and delta functionA.2 Fourier transform and series expansionA.3 Coulomb scatteringsAppendix B: The Second Quantization FormalismAppendix C: The Hamiltonian for Wannier ExcitonsC.1 The semiconductor Hamiltonian in first quantizationC.2 Bloch statesC.3 The semiconductor Hamiltonian on the Bloch basisAppendix D: The Valence Electron Operator Versus the Hole OperatorD.1 Valence electron absenceD.2 Spin 1/2D.3 l=1 orbital momentumAppendix E: "The Coboson Bible"Appendix F: Direct Coulomb Scattering for Wannier ExcitonsF.1 Creation potentialF.2 Direct Coulomb scatteringF.3 Symmetry propertiesAppendix G: Concerning N Ground-State Wannier ExcitonsG.1 Normalization factorG.2 Hamiltonian mean valueAppendix H: Photon-Semiconductor InteractionH.1 Electromagnetic field in vacuumH.2 The electron Hamiltonian in a photon fieldH.3 Linear CouplingH.4 Quadratic couplingH.5 Complex polarization vectorsAppendix I: Photon-Exciton InteractionI.1 Photon-exciton couplingI.2 The sum rule between photon-exciton couplingsReferencesIndex