Strongly Correlated Electrons In Two Dimensions


Strongly Correlated Electrons In Two Dimensions
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Strongly Correlated Electrons In Two Dimensions


Strongly Correlated Electrons In Two Dimensions
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Author : Sergey Kravchenko
language : en
Publisher: CRC Press
Release Date : 2017-05-25

Strongly Correlated Electrons In Two Dimensions written by Sergey Kravchenko and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-25 with Science categories.


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.



Theoretical Methods For Strongly Correlated Electrons


Theoretical Methods For Strongly Correlated Electrons
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Author : David Sénéchal
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-09

Theoretical Methods For Strongly Correlated Electrons written by David Sénéchal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-09 with Science categories.


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.



Two Dimensional Strongly Correlated Electronic Systems


Two Dimensional Strongly Correlated Electronic Systems
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Author : China Center of Advanced Science and Technology
language : en
Publisher: Routledge
Release Date : 1989

Two Dimensional Strongly Correlated Electronic Systems written by China Center of Advanced Science and Technology and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.


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.



Theoretical Methods For Strongly Correlated Electrons


Theoretical Methods For Strongly Correlated Electrons
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Author : David Sénéchal
language : en
Publisher: Springer
Release Date : 2013-10-03

Theoretical Methods For Strongly Correlated Electrons written by David Sénéchal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Science categories.


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.



Exactly Solvable Models Of Strongly Correlated Electrons


Exactly Solvable Models Of Strongly Correlated Electrons
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Author : Vladimir E. Korepin
language : en
Publisher: World Scientific
Release Date : 1994

Exactly Solvable Models Of Strongly Correlated Electrons written by Vladimir E. Korepin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Technology & Engineering categories.


Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-c superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography.



Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems


Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems
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Author : Igor V. Lerner
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-31

Strongly Correlated Fermions And Bosons In Low Dimensional Disordered Systems written by Igor V. Lerner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-31 with Science categories.


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.



Interacting Electrons In Reduced Dimensions


Interacting Electrons In Reduced Dimensions
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Author : Dionys Baeriswyl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Interacting Electrons In Reduced Dimensions written by Dionys Baeriswyl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


As its name suggests, the 1988 workshop on "Interacting Electrons in Reduced Dimen the wide variety of physical effects that are associated with (possibly sions" focused on strongly) correlated electrons interacting in quasi-one- and quasi-two-dimensional mate rials. Among the phenomena discussed were superconductivity, magnetic ordering, the metal-insulator transition, localization, the fractional Quantum Hall effect (QHE), Peierls and spin-Peierls transitions, conductance fluctuations and sliding charge-density (CDW) and spin-density (SDW) waves. That these effects appear most pronounced in systems of reduced dimensionality was amply demonstrated at the meeting. Indeed, when concrete illustrations were presented, they typically involved chain-like materials such as conjugated polymers, inorganic CDW systems and organie conductors, or layered materials such as high-temperature copper-oxide superconductors, certain of the organic superconductors, and the QHE samples, or devices where the electrons are confined to a restricted region of sample, e. g. , the depletion layer of a MOSFET. To enable this broad subject to be covered in thirty-five lectures (and ab out half as many posters), the workshop was deliberately focused on theoretical models for these phenomena and on methods for describing as faithfully as possible the "true" behav ior of these models. This latter emphasis was especially important, since the inherently many-body nature of problems involving interacting electrons renders conventional effec tive single-particle/mean-field methods (e. g. , Hartree-Fock or the local-density approxi mation in density-functional theory) highly suspect. Again, this is particularly true in reduced dimensions, where strong quantum fluctuations can invalidate mean-field results.



Lectures On The Physics Of Highly Correlated Electron Systems Ix


Lectures On The Physics Of Highly Correlated Electron Systems Ix
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Author : Adolfo Avella
language : en
Publisher: American Inst. of Physics
Release Date : 2005-09-27

Lectures On The Physics Of Highly Correlated Electron Systems Ix written by Adolfo Avella and has been published by American Inst. of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-27 with Science categories.


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.



Lectures On The Physics Of Highly Correlated Electron Systems Ix


Lectures On The Physics Of Highly Correlated Electron Systems Ix
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Author : Adolfo Avella
language : en
Publisher: American Institute of Physics
Release Date : 2005-09-27

Lectures On The Physics Of Highly Correlated Electron Systems Ix written by Adolfo Avella and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-27 with Science categories.


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.



Exactly Solvable Models Of Strongly Correlated Electrons


Exactly Solvable Models Of Strongly Correlated Electrons
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Author : Vladimir E Korepin
language : en
Publisher: World Scientific
Release Date : 1994-05-24

Exactly Solvable Models Of Strongly Correlated Electrons written by Vladimir E Korepin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-24 with Science categories.


Systems of strongly correlated electrons are at the heart of recent developments in condensed matter theory. They have applications to phenomena like high-Tc superconductivity and the fractional quantum hall effect. Analytical solutions to such models, though mainly limited to one spatial dimension, provide a complete and unambiguous picture of the dynamics involved. This volume is devoted to such solutions obtained using the Bethe Ansatz, and concentrates on the most important of such models, the Hubbard model. The reprints are complemented by reviews at the start of each chapter and an extensive bibliography. Contents:One-Dimensional Hubbard ModelThe Supersymmetric t-J ModelOther Models of Strongly Correlated Electrons: Models with Local InteractionModels with Long-Range Interaction Readership: Mathematical physicists and condensed matter physicists. keywords:Hubbard Model;Bethe Ansatz;t-J Model;Charge and Spin Separation;Thermodynamics;Magnetism;Correlation Functions;Cattering Matrix;Luttinger Liqud;Confomal Field Theory