Physics of strongly correlated systems |
Outline |
| Introduction to Multi-electron atom and molecule, Ligand field theory and Molecular orbital theory |
| Fermi liquid theory |
| Hubbard model and its extensions, Mott metal-insulator transition and spin-charge separation |
| Anderson impurity model and Kondo effect |
| Screening, electron-phonon interaction, BCS theory |
| Phase transition, order parameter, and quantum criticality |
| High Tc superconductivity |
| Orbital ordering, manganite |
| Spectroscopy techniques in many body physics. |
Patrik Fazekas, "Lecture notes on Electron Correlation and Magnetism" 冯端，金国钧《凝聚态物理学（上卷）》 -- an excellent introductory book on wide area of condensed matter physics, available in the bookstore P. M. Chaikin "Principles of condensed matter physics" -- a nice pedagogical book on ideas of phase transition, correlation functions, 世图版 available in bookstore
N. Tsuda et al. "Electonic conduction in oxides" P. A. Cox "Introduction to transition metal oxides" M. Imada "Metal-insulator transitions" @ Review of Modern Physics, Vol 70, 1039 (1998) Carl J. Ballhausen "Introduction to Ligand Field Theory" N. F. Mott "Metal-Insulator transition" The Theory of Quantum Liquids by D. Pines and P. Nozieres. Excellent introduction to Fermi liquid theory that avoids the use of field theory.
Basic Notions in Condensed Matter Physics by P. W. Anderson. A classic reference. Many of us still turn to this book for inspiration, and philosophy. It also has a fine selection of important reprints at the back.
` `Many-Particle Physics'' , Third Edition by G. Mahan. (Plenum).
``Methods of Quantum Field Theory in Statistical Physics'' by Abrikosov, Gorkov and Dzyalozinskii. (Dover Paperback) - Classic text from the sixties, known usually as AGD.
``A guide to Feynman Diagrams in the Many-Body problem by R. D. Mattuck. A light introduction to the subject.
``Greens functions for Solid State Physics'' S.Doniach and E. H. Sondheimer. Not as thorough as AGD, but less threatening and somehow more manageable. Frontiers in Physics series no 44.
``Quantum Many Particle Systems'' by J. W. Negele and H. Orland. Alas all the good physics is in the unsolved excercises! However, it is the only one of this set to touch on the subject of functional integrals.
R. Shankar, Rev Mod Phys 66 129 (1994). An amazingly self-contained review of the renormalization group and functional integral techniques written by one of the best expositors of condensed matter physics.
``Field Theories of Condensed Matter Physics'' by E. Fradkin. (Frontiers in Physics, Addison Wesley). Interesting material on the fractional statistics and the fractional quantum Hall effect.
``Quantum Field Theory in Condensed Matter Physics'' by A. Tsvelik. (Cambridge paper back) Very good for one dimensional systems. No excercises.
Statistical Physics, vol II by Lifshitz and Pitaevskii. Pergammon. Marvellous book on applications of many body physics, mainly to condensed matter physics.
