Titlebook: Aspects topologiques de la physique en basse dimension. Topological aspects of low dimensional syste; A. Comtet,T. Jolic?ur,F. David Confe

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Lectures on Non Perturbative Field Theory and Quantum Impurity Problems,rongly correlated condensed matter problems — in particular quantum impurity problems. The level is moderately advanced, and takes the student all the way to the most recent progress in the field: many exercises and additional references are provided. In the first part, I give a sketchy introduction

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Mott insulators, Spin liquids and Quantum Disordered Superconductivity,ntum disordering”. After a brief overview of quantum magnetism, attention is focussed on the spin — liquid phase of the two-leg Hubbard ladder and the . — a descendent of the ...-y. superconductor. These notes are self-contained and an effort has been made to keep them accessible.

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Twisting a Single DNA Molecule: Experiments and Models,regime where interwound structures appear. We find that these structures reduce the molecule’s extension and may be described by a discretized Rod-Like Chain Model requiring two parameters: the bending and the twisting rigidity of the molecule. We discuss the experimental evaluation of the ratio of

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Introduction to Topological Quantum Numbers,ore, in early 1998. I have not attempted to make a completely fresh presentation, but have cannibalized the text of my book to produce something shorter, with a different ordering of topics. I wish to thank the publishers for allowing me to do this self-plagiarization.

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Geometrical Description of Vortices in Ginzburg-Landau Billiards, In statistical mechanics, the possible stable defects in an ordered system have been classified according to the nature of the order parameter (. scalar, vector, matrix) and the space dimensionality of the system using homotopy groups [.]. Then, the discovery of the quantum Hall effects and the rol