Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional systems: Session LXIX. 7–31 July 1998

Description

The book contains the worked out lecture notes of the courses delivered at the summer school in Les Houches. They address graduate students and are of interest for researchers as well. The book can be used as an introduction into three closely related fields: anyons and fractional statistics, fractional quantum Hall effect and knot theory. The theoretical papers are occasionally completed by reports on experimental techniques, and besides of physics some application to biological systems can be found. Front Matter....Pages i-xxxiv Electrons in a Flatland....Pages 1-51 The Quantum Hall Effect: Novel Excitations And Broken Symmetries....Pages 53-175 Aspects Of Chern-Simons Theory....Pages 177-263 Anyons....Pages 265-413 Generalized Statistics in One Dimension....Pages 415-471 Lectures on Non Perturbative Field Theory and Quantum Impurity Problems....Pages 473-550 Quantum Partition Noise and The Detection of Fractionally Charged Laughlin Quasiparticles....Pages 551-573 Mott insulators, Spin liquids and Quantum Disordered Superconductivity....Pages 575-641 Statistics of Knots and Entangled Random Walks....Pages 643-733 Twisting a Single DNA Molecule: Experiments and Models....Pages 735-765 Introduction to Topological Quantum Numbers....Pages 767-841 Geometrical Description of Vortices in Ginzburg-Landau Billiards....Pages 843-877 The Integer Quantum Hall Effect and Anderson Localisation....Pages 879-893 Random Magnetic Impurities and Quantum Hall Effect....Pages 895-909