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Strongly Correlated Electrons in Two Dimensions

Strongly Correlated Electrons in Two Dimensions
Author: Sergey Kravchenko
Publisher: CRC Press
Total Pages: 244
Release: 2017-05-25
Genre: Science
ISBN: 9814745383

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The properties of strongly correlated electrons confined in two dimensions are a forefront area of modern condensed matter physics. In the past two or three decades, strongly correlated electron systems have garnered a great deal of scientific interest due to their unique and often unpredictable behavior. Two of many examples are the metallic state and the metal–insulator transition discovered in 2D semiconductors: phenomena that cannot occur in noninteracting systems. Tremendous efforts have been made, in both theory and experiment, to create an adequate understanding of the situation; however, a consensus has still not been reached. Strongly Correlated Electrons in Two Dimensions compiles and details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading scientists in the field. The book covers recent theoretical work exploring the quantum criticality of Mott and Wigner–Mott transitions, experiments on the metal–insulator transition and related phenomena in clean and dilute systems, the effect of spin and isospin degrees of freedom on low-temperature transport in two dimensions, electron transport near the 2D Mott transition, experimentally observed temperature and magnetic field dependencies of resistivity in silicon-based systems with different levels of disorder, and microscopic theory of the interacting electrons in two dimensions. Edited by Sergey Kravchenko, a prominent experimentalist, this book will appeal to advanced graduate-level students and researchers specializing in condensed matter physics, nanophysics, and low-temperature physics, especially those involved in the science of strong correlations, 2D semiconductors, and conductor–insulator transitions.


Two-dimensional Strongly Correlated Electronic Systems

Two-dimensional Strongly Correlated Electronic Systems
Author: China Center of Advanced Science and Technology
Publisher: Routledge
Total Pages: 340
Release: 1989
Genre: Science
ISBN:

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This book addresses present problems and looks towards the future development of new ideas in the field. The series of lectures places emphasis on the theoretical development of high Tc superconducting oxide materials. Contributions include an introduction to strongly correlated systems, the basic concepts of the Mott insulator, the fractional quantum Hall effect and a review of the current thoughts on resonating valence bonds. Research techniques such as variational Monte Carlo methods, mean field theories and topological excitations are also covered. The book will be of general interest and value to graduate students and researchers involved in the study of condensed matter theory.


Quantum Field Theory in Strongly Correlated Electronic Systems

Quantum Field Theory in Strongly Correlated Electronic Systems
Author: Naoto Nagaosa
Publisher: Springer Science & Business Media
Total Pages: 188
Release: 1999-09-20
Genre: Science
ISBN: 9783540659815

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In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.


Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems

Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems
Author: Igor V. Lerner
Publisher: Springer Science & Business Media
Total Pages: 1200
Release: 2002-07-31
Genre: Science
ISBN: 9781402007491

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The physics of strongly correlated fermions and bosons in a disordered envi ronment and confined geometries is at the focus of intense experimental and theoretical research efforts. Advances in material technology and in low temper ature techniques during the last few years led to the discoveries of new physical of atomic gases and a possible metal phenomena including Bose condensation insulator transition in two-dimensional high mobility electron structures. Situ ations were the electronic system is so dominated by interactions that the old concepts of a Fermi liquid do not necessarily make a good starting point are now routinely achieved. This is particularly true in the theory of low dimensional systems such as carbon nanotubes, or in two dimensional electron gases in high mobility devices where the electrons can form a variety of new structures. In many of these sys tems disorder is an unavoidable complication and lead to a host of rich physical phenomena. This has pushed the forefront of fundamental research in condensed matter towards the edge where the interplay between many-body correlations and quantum interference enhanced by disorder has become the key to the understand ing of novel phenomena.


Strongly Correlated Systems

Strongly Correlated Systems
Author: Adolfo Avella
Publisher: Springer Science & Business Media
Total Pages: 350
Release: 2013-04-05
Genre: Science
ISBN: 3642351069

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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.


Theoretical Methods for Strongly Correlated Electrons

Theoretical Methods for Strongly Correlated Electrons
Author: David Sénéchal
Publisher: Springer Science & Business Media
Total Pages: 370
Release: 2006-05-09
Genre: Science
ISBN: 0387217177

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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.


Strongly Correlated Electron Systems Ii - Proceedings Of The Adriatico Conference And Miniworkshop

Strongly Correlated Electron Systems Ii - Proceedings Of The Adriatico Conference And Miniworkshop
Author: G Baskaran
Publisher: World Scientific
Total Pages: 444
Release: 1991-02-28
Genre: Science
ISBN: 9814569348

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This is the second in a series of miniworkshops and Adriatico conferences devoted to the exciting field of strongly correlated electron systems including quantum Hall effect, metal insulator transition, heavy fermions and high Tc superconductivity. In spite of enormous efforts made by physicists worldwide to solve these difficult problems, many important issues are still widely open and this topic remains the most active field in condensed matter physics. The review talks and reports on original research given by the experts in the field represent a state-of-the-art summary of this fast-moving field.


Lectures on the Physics of Highly Correlated Electron Systems IX

Lectures on the Physics of Highly Correlated Electron Systems IX
Author: Adolfo Avella
Publisher: American Institute of Physics
Total Pages: 324
Release: 2005-09-27
Genre: Science
ISBN:

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This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics. Contributions include: BCS theory of nodal superconductors; strongly correlated particle systems and composite operator methods; diagonalization- and numerical renormalization-group-based methods for interacting quantum systems; as well as phenomenological aspects of unconventional superconductivity.


Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems

Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Author: Rudolf Haussmann
Publisher: Springer Science & Business Media
Total Pages: 181
Release: 2003-07-01
Genre: Science
ISBN: 3540489363

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This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems. Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.


Bosonization and Strongly Correlated Systems

Bosonization and Strongly Correlated Systems
Author: Alexander O. Gogolin
Publisher: Cambridge University Press
Total Pages: 452
Release: 2004-12-16
Genre: Science
ISBN: 0521617197

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Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.