Correlated Electrons: from Models to Materials
Author : Eva Pavarini
Publisher : Forschungszentrum Jülich
Page : 450 pages
File Size : 40,64 MB
Release : 2012
Category :
ISBN : 9783893367962
Author : Eva Pavarini
Publisher : Forschungszentrum Jülich
Page : 450 pages
File Size : 40,64 MB
Release : 2012
Category :
ISBN : 9783893367962
Author : Vladimir Anisimov
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 39,62 MB
Release : 2010-07-23
Category : Technology & Engineering
ISBN : 3642048269
Electronic structure and physical properties of strongly correlated materials containing elements with partially filled 3d, 4d, 4f and 5f electronic shells is analyzed by Dynamical Mean-Field Theory (DMFT). DMFT is the most universal and effective tool used for the theoretical investigation of electronic states with strong correlation effects. In the present book the basics of the method are given and its application to various material classes is shown. The book is aimed at a broad readership: theoretical physicists and experimentalists studying strongly correlated systems. It also serves as a handbook for students and all those who want to be acquainted with fast developing filed of condensed matter physics.
Author : Patrik Fazekas
Publisher : World Scientific
Page : 794 pages
File Size : 23,12 MB
Release : 1999
Category : Science
ISBN : 9810224745
Readership: Graduate students and researchers in condensed matter physics.
Author : Andrei A. Zvyagin
Publisher : World Scientific
Page : 380 pages
File Size : 19,6 MB
Release : 2005
Category : Science
ISBN : 1860945031
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.
Author : David Sénéchal
Publisher : Springer Science & Business Media
Page : 370 pages
File Size : 39,19 MB
Release : 2006-05-09
Category : Science
ISBN : 0387217177
Focusing on the purely theoretical aspects of strongly correlated electrons, this volume brings together a variety of approaches to models of the Hubbard type - i.e., problems where both localized and delocalized elements are present in low dimensions. The chapters are arranged in three parts. The first part deals with two of the most widely used numerical methods in strongly correlated electrons, the density matrix renormalization group and the quantum Monte Carlo method. The second part covers Lagrangian, Functional Integral, Renormalization Group, Conformal, and Bosonization methods that can be applied to one-dimensional or weakly coupled chains. The third part considers functional derivatives, mean-field, self-consistent methods, slave-bosons, and extensions.
Author : Eva Pavarini
Publisher : Forschungszentrum Jülich
Page : 562 pages
File Size : 15,82 MB
Release : 2013
Category :
ISBN : 3893368841
Author : Adolfo Avella
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 14,89 MB
Release : 2013-04-05
Category : Science
ISBN : 3642351069
This volume presents, for the very first time, an exhaustive collection of those modern numerical 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 material 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 appreciate 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.
Author : S. G. Ovchinnikov
Publisher : Imperial College Press
Page : 268 pages
File Size : 33,59 MB
Release : 2004
Category : Science
ISBN : 9781860945977
This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems. HubbardX-operators have been known for a long time but have not been widelyused because of their awkward algebra. The book shows that it ispossible to deal with X-operators even in the general multilevel localeigenstate system, and not just in the case of the nondegenerateHubbard model. X-operators provide the natural language for describingquasiparticles in the Hubbard subbands with unusual doping andtemperature-dependent band structures.
Author : Richard M. Martin
Publisher : Cambridge University Press
Page : 843 pages
File Size : 20,26 MB
Release : 2016-06-30
Category : Science
ISBN : 1316558568
Recent progress in the theory and computation of electronic structure is bringing an unprecedented level of capability for research. Many-body methods are becoming essential tools vital for quantitative calculations and understanding materials phenomena in physics, chemistry, materials science and other fields. This book provides a unified exposition of the most-used tools: many-body perturbation theory, dynamical mean field theory and quantum Monte Carlo simulations. Each topic is introduced with a less technical overview for a broad readership, followed by in-depth descriptions and mathematical formulation. Practical guidelines, illustrations and exercises are chosen to enable readers to appreciate the complementary approaches, their relationships, and the advantages and disadvantages of each method. This book is designed for graduate students and researchers who want to use and understand these advanced computational tools, get a broad overview, and acquire a basis for participating in new developments.
Author : Peter Fulde
Publisher : World Scientific
Page : 550 pages
File Size : 39,45 MB
Release : 2012-08-08
Category : Science
ISBN : 9814397229
An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.