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Strongly Correlated Electrons in Two Dimensions

Author: Sergey Kravchenko

Publisher: CRC Press

Published: 2017-05-25

Total Pages: 244

ISBN-13: 9814745383

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

Publisher: Springer Science & Business Media

Published: 2006-05-09

Total Pages: 370

ISBN-13: 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.

Two-dimensional Strongly Correlated Electronic Systems

Author: China Center of Advanced Science and Technology

Publisher: Routledge

Published: 1989

Total Pages: 340

ISBN-13:

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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.

Exactly Solvable Models of Strongly Correlated Electrons

Author: Vladimir E. Korepin

Publisher: World Scientific

Published: 1994

Total Pages: 506

ISBN-13: 9789810215347

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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.

Theoretical Methods for Strongly Correlated Electrons

Author: David Sénéchal

Publisher: Springer

Published: 2013-10-03

Total Pages: 361

ISBN-13: 9781475780598

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Exactly Solvable Models of Strongly Correlated Electrons

Author: Vladimir E Korepin

Publisher: World Scientific

Published: 1994-05-24

Total Pages: 504

ISBN-13: 981450274X

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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-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

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 451

ISBN-13: 9401007713

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Proceedings of the NATO Advanced Research Workshop, Bled, Slovenia, 26-30 April 2000

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

Author: Rudolf Haussmann

Publisher: Springer Science & Business Media

Published: 2003-07-01

Total Pages: 181

ISBN-13: 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.

Physics Of Low-dimensional Systems - Proceedings Of Nobel Symposium 73

Author: Lundqvist Stig

Publisher: World Scientific

Published: 1989-07-01

Total Pages: 168

ISBN-13: 9813223340

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List of Contributors: P W Anderson, S Tanaka, C W Chu, Y H Kim, T V Ramakrishnan, G Wendin, G Baskaran, H Fukuyama, Y Hasegawa, A Zawadowski, A A Abrikosov, A I Buzdin, V L Ginzburg, S Barisic, I Batistic, E J Mele, L Dzyaloshinskii, L A Falkovsky, J R Schrieffer, D J Scalapino, A I Larkin, K W Becker, P Fulde, S A Trugman, F C Zhang, K A Chao, G Z Wei, D JŽrome et al., J Bardeen, M Sinclair, S M Girvin, D P Arovas, P B Wiegmann and others.

Strongly Correlated Fermions and Bosons in Low-Dimensional Disordered Systems

Author: Igor V. Lerner

Publisher: Springer Science & Business Media

Published: 2002-07-31

Total Pages: 418

ISBN-13: 9781402007484

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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.