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Full Description
This book presents in a pedagogical yet complete way correlated systems in one dimension. Recent progress in nanotechnology and material research have made one dimensional systems a crucial part of today's physics. After an introduction to the basic concepts of correlated systems, the book gives a step by step description of the techniques needed to treat one dimension, and discusses the resulting physics. Then specific experimental realizations of one dimensional systems such as spin chains, quantum wires, nanotubes, organic superconductors etc. are examined. Given its progressive and pedagogical approach, this book should satisfy both graduate students who want to learn the tools of the trade and become professionals in the field as well as more advanced researchers who want to know more about the physics of a specific one dimensional system without unnecessary technicalities.
Contents
1. Peculiarities of d=1 ; 2. Bosonization ; 3. Luttinger liquids ; 4. Refinements ; 5. Microscopic methods ; 6. Spin 1/2 chains ; 7. Interacting fermions on a lattice ; 8. Coupled fermionic chains ; 9. Disordered systems ; 10. Boundaries and isolated impurities ; 11. Significant others ; A. Basics of many body ; B. Not so important fine technical points ; C. Correlation functions ; D. Bosonization directory ; E. Sine-Gordon ; F. Numerical solution