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."
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