Quantum Physics in One DimensionClarendon Press, 2004 - 424 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 Peculiarities of d 1 | 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 |
112 Impurities in Fermi liquids | 346 |
Basics of Manybody | 370 |
Not so important fine technical points | 376 |
Correlation functions | 380 |
Bosonization dictionary | 391 |
SineGordon | 396 |
Numerical solution | 404 |
408 | |
9 Disordered systems | 270 |
10 Boundaries and isolated impurities | 303 |
11 Significant others | 333 |
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Expressions et termes fréquents
antiferromagnetic Appendix behavior Bethe-ansatz boson boson operators boson representation Chapter charge density wave chemical potential coefficient commensurate compute conductivity correlation functions corresponds cosine course cutoff decay dependence dimension dimensional disorder divergent effective electron gas energy exactly example excitations exponent exponentially fact Fermi liquid Fermi surface fermion operators finite fluctuations formula Fourier frequency Giamarchi given Green's function half-filling Hamiltonian hopping Hubbard model integral interaction interchain isotropic Kondo problem ladder lattice linear low-energy Luttinger liquid magnetic field method momentum Mott insulator Mott transition one-dimensional systems parameters particle–hole particles phase diagram phonons physical power law properties quadratic quantum quasiparticles renormalization repulsive result RG equations scattering Schulz Section shown in Fig simple single-particle singlet solution spin chain spin rotation spinless fermions strong coupling superconducting symmetry t-J model temperature transformation umklapp term wavefunction zero ϕσ