Strongly Correlated Systems: Theoretical Methods

ISBN-13: 9783642445927 / Angielski / Miękka / 2014 / 464 str.

Adolfo Avella; Ferdinando Mancini

Opis

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.

Recenzje

From the reviews:

"This book covers a tremendous amount of material regarding the analysis of strongly correlated systems. It is concerned primarily with theoretical methods for describing transport properties in novel materials emerging from macroscopic quantum behaviors. It is intended for graduate students, postdocs and faculty who are interested in acquiring the broad background knowledge needed to become successful researchers in this area." (Christian Brosseau, Optics & Photonics News, October, 2012)

"This book is a collection of several chapters presenting analytical methods (motivation, successes and limitations) to understand the physical properties of systems in which electrons are correlated. ... It is aimed at advanced graduate students and/or young post-docs in physics active in the field of correlated systems, and is therefore quite specialized. The reader is supposed to have a strong familiarity with concepts of many-body physics ... ." (Gabriel Stoltz, Mathematical Reviews, January, 2013)

Spis treści

Pseudoparticle Approach. - Functional Renormalization Group (FunRG). - Projection Operator Method. - Composite Operator Method (COM). - LDA+GTB method. - Dynamical Mean-Field Theory (DMFT). - Cluster Perturbation Theory (CPT). - Self-Energy-Functional Theory (SFA). - Cluster Dynamical Mean Field Theory (CDMFT). - Dynamical Cluster Approximation (DCA). - Density Functional Theory (DFT). - Gutzwiller, Slave Boson and RVB. - Two-Particle-Self-Consistent Approach (TPSC).