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Properties of Interacting Low-Dimensional Systems.
Filling the gap for comprehensive coverage of the realistic fundamentals and approaches needed to perform cutting-edge research on mesoscopic systems, this textbook allows advanced students to acquire and use the skills at a highly technical, research-qualifying level. Starting with a brief refreshe...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Weinheim :
Wiley,
2013.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Series page; Title page; Copyright page; Preface; Part One: Linear Response of Low Dimensional Quantum Systems; 1 Introduction; 1.1 Second-Quantized Representation for Electrons; 1.2 Second Quantization and Fock States; 1.3 The Boson Case; 1.4 The Fermion Case; 1.5 The Hamiltonian of Electrons; 1.6 Electron-phonon Interaction; 1.7 Effective Electron-electron Interaction; 1.8 Degenerate Electron Gases; 1.9 Ground-State Energy in the High Density Limit; 1.10 Wigner Solid; 1.11 The Chemical Potential of an Ideal Bose Gas and Bose-Einstein Condensation; 1.12 Problems; References.
- 2 The Kubo-Greenwood Linear Response Theory2.1 Fluctuations and Dissipation; 2.2 Nyquist's Relation; 2.3 Linear Response Theory; 2.4 The Density Matrix and Quantum Statistics; 2.5 Kubo's Theory; 2.6 The Kubo Equation; 2.7 Fluctuation-Dissipation Theorem; 2.8 Applications; 2.9 Kinetic Equation for Elastic Processes; 2.10 Problems; References; 3 Feynman Diagrammatic Expansion; 3.1 General Formalism; 3.2 Functional Derivative Techniques; 3.3 Unrenormalized Expansion for G and ∑; 3.4 Renormalized Expansion for Self-Energy ∑; 3.5 The Schrödinger Equation in the Hartree-Fock Approximation
- 3.6 Screened External Potential3.7 Retarded Polarization Function; 3.8 RPA for the Polarization Function; 3.9 Problems; References; 4 Plasmon Excitations in Mesoscopic Structures; 4.1 Linear Response Theory and Collective Excitations; 4.2 A Linear Array of Nanotubes; 4.3 A Linear Array of Quantum Wires; 4.4 Coupled Half-Plane Superlattices; 4.5 Problems; References; 5 The Surface Response Function, Energy Loss and Plasma Instability; 5.1 Surface Response Function; 5.2 Electron Energy Loss for a Planar Surface; 5.3 Plasma Instability for a Planar Surface; 5.4 Energy Transfer in Nanotubes.
- 5.5 ProblemsReferences; 6 The Rashba Spin-orbit Interaction in 2DEG; 6.1 Introduction to Spin-Orbit Coupling; 6.2 Spin-orbit Coupling in the Dirac Equation; 6.3 Rashba Spin-orbit Coupling for a Quantum Wire; 6.4 SOI Effects on Conductance and Electron-Diffusion Thermoelectric Power; 6.5 Problems; References; 7 Electrical Conductivity: the Kubo and Landauer-Büttiker Formulas; 7.1 Quantum Mechanical Current; 7.2 The Statistical Current; 7.3 A Green's Function Formalism; 7.4 The Static Limit; 7.5 Model and Single-Particle Eigenstates; 7.6 Averaged Conductivity.
- 7.7 Applications to One-Dimensional Density Modulated 2DEG7.8 Scattering Theory Formalism; 7.9 Quantum Hall Effect; 7.10 Problems; References; 8 Nonlocal Conductivity for a Spin-Split Two-Dimensional Electron Liquid; 8.1 Introduction; 8.2 Kubo Formula for Conductivity; 8.3 The Self-Energy and Scattering Time; 8.4 Drude-Type Conductivity for Spin-Split Subband Model; 8.5 Vertex Corrections to the Local Conductivity; 8.6 Numerical Results for Scattering Times; 8.7 Related Results in 3D in the Absence of SOI; References; 9 Integer Quantum Hall Effect.