Strongly Correlated Systems

The volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and materials science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciates consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.

This volume presents, for the very first time, an exhaustive collection of those modern theoretical methods specifically tailored for the analysis of strongly correlated systems. It further offers an approach to unifying theory for strongly correlated systems.

First graduate textbook on analytical methods for strongly correlated systems

Dynamical Cluster Approximation.- Cellular Dynamical Mean-Field Theory (CDMFT).- Cluster Perturbation Theory (CPT).- Self-Energy-Functional Theory.- Composite Operator Method (COM).- Spectral Density Approach (SDA).- Gutzwiller and Slave Boson Method.- Noncrossing Approximation (NCA).- Projection Operator Method.- Fluctuation Exchange Approximation (FLEX).- Functional Renormalization Group Theory (FunRG).- Density Functional Theory (DFT).