New Theoretical Approaches to Strongly Correlated Systems

2001
ISBN: 978-0-7923-7000-0
Verlag: Springer Netherlands

Buch, Englisch, Band 23, 301 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1390 g

Reihe: NATO Science Series II: Mathematics, Physics and Chemistry

For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results.
Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.

Zielgruppe

Research

Autoren/Hrsg.

Tsvelik, Alexei M.

Fachgebiete

• Naturwissenschaften Physik Elektromagnetismus Magnetismus
• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie

Inhaltsverzeichnis

I Quantum Critical Points.- 1 Damping of collective modes and quasiparticles in d-wave superconductors.- II Strongly Correlated One-Dimensional Systems.- 2 Dynamical Properties of one dimensional Mott Insulators.- 3 Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II.- 4 Ising-model Description of Quantum Critical Points in ID Electron and Spin Systems.- 5 Commensurability, topology and Luttinger’s theorem in quantum many-body systems.- III Strong Correlations and Disorder.- 6 Critical points two-dimensional replica sigma models.- 7 Topics in the conformai field theory of disordered systems.- 8 Disordered Dirac Fermions: Three Different Approaches.- 9 Disordered Quantum Solids.- IV Dynamical Mean Field Theory.- 10 Model Hamiltonians and First Principles Electronic Structure Calculations.