Quantum Physics in One DimensionClarendon Press, 18 déc. 2003 - 440 pages 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. |
Table des matières
| 1 | |
2 BOSONIZATION | 29 |
3 LUTTINGER LIQUIDS | 70 |
4 REFINEMENTS | 100 |
5 MICROSCOPIC METHODS | 137 |
6 SPIN 12 CHAINS | 160 |
7 INTERACTING FERMIONS ON A LATTICE | 200 |
8 COUPLED FERMIONIC CHAINS | 238 |
11 SIGNIFICANT OTHERS | 333 |
BASICS OF MANYBODY | 370 |
NOT SO IMPORTANT FINE TECHNICAL POINTS | 376 |
CORRELATION FUNCTIONS | 380 |
BOSONIZATION DICTIONARY | 391 |
SINEGORDON | 396 |
NUMERICAL SOLUTION | 404 |
| 408 | |
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Expressions et termes fréquents
allows Appendix approximation average becomes behavior boson Chapter charge close commensurate compared compute conductivity consider constant contains correlation functions corresponds cosine coupling course cutoff decay defined density dependence dimension directly disorder easy effective electrons energy equations equivalent exactly example excitations expect exponent expression fact Fermi fermions field finite formula given gives Hamiltonian hopping important impurity integral interaction ladder lattice leads limit localization look Luttinger liquid means method momentum Mott Note obtained one-dimensional operators original parameters particles perturbation phase physical possible potential presence problem processes properties quadratic quantum relation renormalization result scale scattering shown in Fig shows similar simple single solution space spin spinless fermions strong temperature term theory transformation transition wave zero