EAN: 9783642104480

MODERN THEORIES OF MANY-PARTICLE SYSTEMS IN CON...

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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