Modern Theories of Many-Particle Systems in Condensed Matter Physics [Paperback]

Condensed matter systems where interactions are strong are inherently difficult to analyze theoretically. The situation is particularly interesting in low-dimensional systems, where quantum fluctuations play a crucial role. Here, the development of non-perturbative methods and the study of integrable field theory have facilitated the understanding of the behavior of many quasi one- and two-dimensional strongly correlated systems. In view of the same rapid development that has taken place for both experimental and numerical techniques, as well as the emergence of novel testing-grounds such as cold atoms or graphene, the current understanding of strongly correlated condensed matter systems differs quite considerably from standard textbook presentations.

?

The present volume of lecture notes aims to fill this gap in the literature by providing a collection of authoritative tutorial reviews, covering such topics as quantum phase transitions of antiferromagnets and cuprate-based high-temperature superconductors, electronic liquid crystal phases, graphene physics, dynamical mean field theory applied to strongly correlated systems, transport through quantum dots, quantum information perspectives on many-body physics, frustrated magnetism, statistical mechanics of classical and quantum computational complexity, and integrable methods in statistical field theory.

?

As both graduate-level text and authoritative reference on this topic, this book will benefit newcomers and more experienced researchers in this field alike.

Quantum Phase Transitions of Antiferromagnets and the Cuprate Superconductors.- Electronic Liquid Crystal Phases in Strongly Correlated Systems.- Selected Topics in Graphene Physics.- Strong Electronic Correlations: Dynamical Mean-Field Theory and Beyond.- Nonequilibrium Transport and Dephasing in Coulomb-blockaded Quantum Dots.- Many-body Physics From a Quantum InformatlÅ