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Full Description
This book embarks on an exploration of the interplay between excitons, which are the fundamental excitations in semiconductors, and photons, which are the electromagnetic quanta, providing fresh insights into light-matter interaction.
Covering the basic principles of semiconductor electronic structures in a detailed yet accessible way, this book provides a pedagogical introduction to the various Coulomb interactions between electrons and holes, which are the two semiconductor key particles, as well as the mathematical tools to study their many-body effects. It untangles the tricky excitonic physics that develops from the interplay between Coulomb and electron-photon interactions, which differentiates bright from dark excitons or leads to the bosonic modes known as exciton-polaritons.
A unique re-examination of well-established concepts, this book provides original presentations of fundamental questions, such as the polariton vacuum or the deceptively simple exciton creation through photon absorption. Whether you are a student eager to learn from step-by-step derivations or an experienced physicist seeking to refine your knowledge, this book will serve as an invaluable guide to mastering the microscopic physics of semiconductors, an important material in modern technologies.
Contents
1: Highlights of the book
PART I - EXCITONS
2: Some ideas on excitons
3: Exciton phenomenology
4: Semiconductor microscopy
5: Wannier excitons
6: Exciton many-body effects
PART II - PHOTONS
7: Classical electrodynamics in vacuum
8: Semiclassical electrodynamics
9: Quantum electrodynamics
10: Maxwell equations in matter
PART III - EXCITON-PHOTON COUPLING
11: Photon couplings to excitons
12: Exciton-polaritons
13: Photon absorption
14: Photocreation of excitons
PART IV - APPENDICES
Appendix 1 - Second quantization formalism
Appendix 2 - Large finite volume
Appendix 3 - Arbitrary (±i) phase factors
Appendix 4 - On wave vector quantization
Appendix 5 - Kronecker symbol and delta function
Appendix 6 - Fourier Series and Integrals
Appendix 7 - Bloch theorem
Appendix 8 - Bloch electrons and Bloch functions
Appendix 9 - Coulomb interactions between electrons and holes
Appendix 10 - On dielectric constant for long/short-range Coulomb processes
Appendix 11 - Angular momenta: additions and matrix representations
Appendix 12 - From valence electrons to holes
Appendix 13 - Spin-orbit prefactor: Thomas derivation
Appendix 14 - The k · p method
Appendix 15 - Physics of negative masses for Bloch electrons
Appendix 16 - Understanding the Kohn-Luttinger Hamiltonian
Appendix 17 - Coulomb scatterings involving heavy and light holes
Appendix 18 - Schrödinger equation in D dimension
Appendix 19 - Number of exciton levels in a finite crystal
Appendix 20 - Effect of hole mass difference on exciton degeneracy
Appendix 21 - Interband Coulomb interaction, electron-hole pair exchange, and longitudinal-transverse exciton splitting
Appendix 22 - Wannier electron states
Appendix 23 - One Wannier exciton through ladder diagrams
Appendix 24 - Pauli and Coulomb scatterings between Wannier excitons
Appendix 25 - Reasons for not using the E · d coupling instead of A · p
Appendix 26 - Rotating wave approximation versus quantizing the electromagnetic field
Appendix 27 - On polarization vectors
Appendix 28 - Broadened absorption line
Appendix 29 - More on exciton-polaritons
Appendix 30 - Two coupled bosons with finite lifetime
