Overview

"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 fundamental questions 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 us understand ""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. Advanced undergraduate 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."

Full Product Details

Author:   Monique Combescot (Directeur de Recherche CNRS Emeritus, Directeur de Recherche CNRS Emeritus, Institute de NanoSciences de Paris, Université Pierre-et-Marie-Curie) ,  Shiue-Yuan Shiau (Assistant Research Fellow, Assistant Research Fellow, Department of Physics and National Centre of Theoretical Sciences, National Cheng Kung University)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 18.60cm , Height: 3.30cm , Length: 24.80cm
Weight:   1.262kg
ISBN:  

9780198753735

ISBN 10:   019875373
Pages:   560
Publication Date:   10 December 2015
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

"1: Introduction Part I: Excitons 2: The Exciton Concept 3: Wannier Excitons 4: Frenkel Excitons 5: Elementary Bosons, Wannier Excitons, and Frenkel Excitons Part II: Cooper Pairs 6: The Cooper Pair Problem 7: The Bardeen-Cooper-Schrieffer Approach 8: The Bogoliubov Approach 9: The Gorkov Approach 10: The Richardson-Gaudin Exact Solution 11: Links Between Cooper Pairs and Excitons Part III: Particles Related to Excitons 12: Trions, Biexcitons, and Polaritons 13: Trions 14: Biexcitons 15: Polaritons Part IV: Bosonic Condensation 16: From Elementary to Composite Boson Condensates 17: Elementary Bosons 18: Elementary Fermions 19: Composite Bosons Appendix A : Some Mathematical Results A.1: The Kronecker symbol and delta function A.2: Fourier transform and series expansion A.3: Coulomb scatterings Appendix B : The Second Quantization Formalism Appendix C : The Hamiltonian for Wannier Excitons C.1: The semiconductor Hamiltonian in first quantization C.2: Bloch states C.3: The semiconductor Hamiltonian on the Bloch basis Appendix D : The Valence Electron Operator Versus the Hole Operator D.1: Valence electron absence D.2: Spin 1/2 D.3: l=1 orbital momentum Appendix E : ""The Coboson Bible"" Appendix F : Direct Coulomb Scattering for Wannier Excitons F.1: Creation potential F.2: Direct Coulomb scattering F.3: Symmetry properties Appendix G : Concerning N Ground-State Wannier Excitons G.1: Normalization factor G.2: Hamiltonian mean value Appendix H : Photon-Semiconductor Interaction H.1: Electromagnetic field in vacuum H.2: The electron Hamiltonian in a photon field H.3: Linear Coupling H.4: Quadratic coupling H.5: Complex polarization vectors Appendix I : Photon-Exciton Interaction I.1: Photon-exciton coupling I.2: The sum rule between photon-exciton couplings References Index"

Reviews

In this book a new and fascinating light is shined on an old question. It is must reading for anyone interested in this subject. Leon Cooper, Brown University This new book provides a thorough and interesting account of the microscopic theories behind superconductors, excitons and Bose condensates, drawing parallels between all three areas. It promises to be a useful textbook for postgraduates as well as a stimulating monograph for current practitioners in the fields of condensed matter physics. Derek Lee, Imperial College London I strongly recommend this clear, accessible book gathering for the first time two aspects of pair formation in condensed matter, namely excitons in semiconductors and Cooper pairs in superconductors. Claude Cohen-Tannoudji, Ecole Normale Superieure Composite bosons consist of two fermions and hence do not obey the usual bosonic commutation relations. The authors here develop comprehensive techniques and diagrams to describe such systems, focusing on two important examples: particle-hole excitons in semiconductors and two-particle Cooper pairs in superconductors. Future work will doubtless illuminate the important and relatively new field of BCS-BEC crossover involving paired fermions in ultra-cold dilute atomic gases. Alexander Fetter, Stanford University ... full of insight and clarity, combining deep theoretical insight with a demand for intuitive and comprehensible behaviours. This link between excitons and Cooper pairs brings together two fields where there is fertile ground for connection and new ideas. Jeremy Baumberg, University of Cambridge The book by the noted many-body theorist Monique Combescot and Shiue-Yuan Shiau presents a novel theory of interacting excitons based on the fermion character of their constituent electron and hole and a unique unification of the concepts of Wannier and Frenkel excitons and Cooper pairs. L. J. Sham, University of California San Diego The topic is timely and interesting - in particular the similarities and differences between exciton condensates and condensation of Cooper pairs. There are books on excitons and there are books on superconductivity - this combination is rather unique and worth reading. Pawel Hawrylak, University of Ottawa

In this book a new and fascinating light is shined on an old question. It is must reading for anyone interested in this subject. Leon Cooper, Brown University This new book provides a thorough and interesting account of the microscopic theories behind superconductors, excitons and Bose condensates, drawing parallels between all three areas. It promises to be a useful textbook for postgraduates as well as a stimulating monograph for current practitioners in the fields of condensed matter physics. Derek Lee, Imperial College London I strongly recommend this clear, accessible book gathering for the first time two aspects of pair formation in condensed matter, namely excitons in semiconductors and Cooper pairs in superconductors. Claude Cohen-Tannoudji, Ecole Normale Superieure Composite bosons consist of two fermions and hence do not obey the usual bosonic commutation relations. The authors here develop comprehensive techniques and diagrams to describe such systems, focusing on two important examples: particle-hole excitons in semiconductors and two-particle Cooper pairs in superconductors. Future work will doubtless illuminate the important and relatively new field of BCS-BEC crossover involving paired fermions in ultra-cold dilute atomic gases. Alexander Fetter, Stanford University ... full of insight and clarity, combining deep theoretical insight with a demand for intuitive and comprehensible behaviours. This link between excitons and cooper pairs brings together two fields where there is fertile ground for connection and new ideas. Jeremy Baumberg, University of Cambridge The book by the noted many-body theorist Monique Combescot and Shiue-Yuan Shiau presents a novel theory of interacting excitons based on the Fermion character of their constituent electron and hole and a unique unification of the concepts of Wannier and Frenkel excitons and Cooper pairs. L. J. Sham, University of California San Diego The topic is timely and interesting - in particular the similarities and differences between exciton condensates and condensation of Cooper pairs. There are books on excitons and there are books on superconductivity - this combination is rather unique and worth reading. Pawel Hawrylak, University of Ottawa

Author 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. Nozières). After two years of postdoc at Cornell University, USA, she returned as a research member at CNRS in Paris, permanently. Yet, she likes teaching very much --- she has been first at the ""Aggregation de Physique"", a competitive exam for high school teachers. For many years, she taught undergraduate courses at universities and engineering schools in Paris. Over the last two decades, she also gave various courses at the graduate level, in Paris and in many other places in the world. This book is based on one of these lectures. Dr. Shiue-Yuan Shiau obtained his B.S. in 1998 and M.S. in 2002 from National Taiwan University. In 2007, he received his Ph.D in condensed matter physics from the University of Wisconsin-Madison, USA. After postdocs in INAC/SPSM, CEA at Grenoble, France and in RCAS, Academia Sinica at Taipei, Taiwan, he is currently assistant research fellow at National Cheng Kung University, Taiwan."

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