Strongly Correlated Electrons In Two Dimensions
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Strongly Correlated Electrons in Two Dimensions
Author | : Sergey Kravchenko |
Publsiher | : CRC Press |
Total Pages | : 244 |
Release | : 2017-05-25 |
Genre | : Science |
ISBN | : 9789814745383 |
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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.
Theoretical Methods for Strongly Correlated Electrons
Author | : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais |
Publsiher | : Springer Science & Business Media |
Total Pages | : 370 |
Release | : 2006-05-09 |
Genre | : Science |
ISBN | : 9780387217178 |
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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.
Exactly Solvable Models of Strongly Correlated Electrons
Author | : Vladimir E. Korepin,Fabian H. L. Essler |
Publsiher | : World Scientific |
Total Pages | : 506 |
Release | : 1994 |
Genre | : Technology & Engineering |
ISBN | : 9810215347 |
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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.
Two dimensional Strongly Correlated Electronic Systems
Author | : China Center of Advanced Science and Technology |
Publsiher | : Routledge |
Total Pages | : 340 |
Release | : 1989 |
Genre | : Science |
ISBN | : UVA:X002600490 |
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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.
Theoretical Methods for Strongly Correlated Electrons
Author | : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais |
Publsiher | : Springer |
Total Pages | : 361 |
Release | : 2013-10-03 |
Genre | : Science |
ISBN | : 1475780591 |
Download Theoretical Methods for Strongly Correlated Electrons Book in PDF, Epub and Kindle
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
Author | : Vladimir E Korepin,Fabian H L Eβler |
Publsiher | : World Scientific |
Total Pages | : 504 |
Release | : 1994-05-24 |
Genre | : Science |
ISBN | : 9789814502740 |
Download Exactly Solvable Models of Strongly Correlated Electrons Book in PDF, Epub and Kindle
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
Open Problems in Strongly Correlated Electron Systems
Author | : Janez Bonca,Peter Prelovsek,Anton Ramsak,Sarben Sarkar |
Publsiher | : Springer Science & Business Media |
Total Pages | : 451 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9789401007719 |
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Proceedings of the NATO Advanced Research Workshop, Bled, Slovenia, 26-30 April 2000
Strongly Correlated Fermions and Bosons in Low Dimensional Disordered Systems
Author | : Igor V. Lerner,Boris L. Althsuler,Vladimir I. Fal'ko,Thierry Giamarchi |
Publsiher | : Springer Science & Business Media |
Total Pages | : 418 |
Release | : 2002-07-31 |
Genre | : Science |
ISBN | : 1402007485 |
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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.