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Quantum theory of the electron liquid /
Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2005.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Introduction to the electron liquid; 2 The Hartree-Fock approximation; 3 Linear response theory; 4 Linear response of independent electrons; 5 Linear response of an interacting electron liquid; 6 The perturbative calculation of linear response functions; 7 Density functional theory; 8 The normal Fermi liquid; 9 Electrons in one dimension and the Luttinger liquid; 10 The two-dimensional electron liquid at high magnetic field; Appendix 1: Fourier transform of the coulomb interaction in low dimensional systems
- Appendix 2: Second-quantized representation of some useful operatorsAppendix 3: Normal ordering and Wick's theorem; Appendix 4: The pair correlation function and the structure factor; Appendix 5: Calculation of the energy of a Wigner crystal via the Ewald method; Appendix 6: Exact lower bound on the ground-state energy of the jellium model; Appendix 7: The density-density response function in a crystal; Appendix 8: Example in which the isothermal and adiabatic responses differ; Appendix 9: Lattice screening effects on the effective electron-electron interaction
- Appendix 10: Construction of the STLS exchange-correlation fieldAppendix 11: Interpolation formulas for the local field factors; Appendix 12: Real space-time form of the noninteracting Green's function; Appendix 13: Calculation of the ground-state energy and thermodynamic potential; Appendix 14: Spectral representation and frequency summations; Appendix 15: Construction of a complete set of wavefunctions with a given density; Appendix 16: Meaning of the highest occupied Kohn-Sham eigenvalue in metals; Appendix 17: Density functional perturbation theory
- Appendix 18: Density functional theory at finite temperatureAppendix 19: Completeness of the bosonic basis set for the Luttinger model; Appendix 20: Proof of the disentanglement lemma; Appendix 21: The independent boson theorem; Appendix 22: The three-dimensional electron gas at high magnetic field; Appendix 23: Density matrices in the lowest Landau level; Appendix 24: Projection in the lowest Landau level; Appendix 25: Solution of the independent boson model; References; Index