Excitons and Cooper Pairs

Excitons and Cooper Pairs

Two Composite Bosons in Many-Body Physics

Combescot, Monique; Shiau, Shiue-Yuan

Oxford University Press

08/2024

560

Mole

9780198914716

15 a 20 dias

Descrição não disponível.
1: Introduction
Part I: Excitons
2: The Exciton Concept
3: Wannier Excitons
4: Frenkel Excitons
5: Elementary Bosons, Wannier and Frenkel 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: Richardsib-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 Composite Boson Condensates
17: Elementary Bosons
18: Composite 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