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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.


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.


Theoretical Methods for Strongly Correlated Electrons

Theoretical Methods for Strongly Correlated Electrons
Author: David Sénéchal
Publisher: Springer
Total Pages: 361
Release: 2013-10-03
Genre: Science
ISBN: 9781475780598

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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.


From One to Two Dimensions

From One to Two Dimensions
Author: Marc Gaston Zacher
Publisher:
Total Pages: 0
Release: 1999
Genre:
ISBN:

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Exactly Solvable Models of Strongly Correlated Electrons

Exactly Solvable Models of Strongly Correlated Electrons
Author: Vladimir E. Korepin
Publisher: World Scientific
Total Pages: 506
Release: 1994
Genre: Technology & Engineering
ISBN: 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.


Open Problems in Strongly Correlated Electron Systems

Open Problems in Strongly Correlated Electron Systems
Author: Janez Bonca
Publisher: Springer Science & Business Media
Total Pages: 451
Release: 2012-12-06
Genre: Science
ISBN: 9401007713

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


Lectures on the Physics of Highly Correlated Electron Systems X

Lectures on the Physics of Highly Correlated Electron Systems X
Author: Adolfo Avella
Publisher: American Institute of Physics
Total Pages: 322
Release: 2006-07-19
Genre: Science
ISBN: 9780735403406

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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 intended to train students. Contributions include: Strongly correlated electron behaviors and heavy Fermions in anomalous rare-earth and actinide systems; strong correlations in low dimensional systems; functional renormalization group approach to correlated electron systems; and numerical approaches to coupled quantum systems.


Microwave Spectroscopy of Strongly Correlated 2D Electrons

Microwave Spectroscopy of Strongly Correlated 2D Electrons
Author:
Publisher:
Total Pages: 4
Release: 2005
Genre:
ISBN:

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We have investigated the microwave absorption of clean two-dimensional (2D) electron systems (with mobility exceeding 1 0(exp 7)cm(exp 2)/Vs) in GaAs/Al(x)Ga(1-x)As heterostructures in high magnetic fields when the single particle energy spectrum is a series of discrete Landau levels. Our results, as summarized below, give direct evidence for the existence of several new phases of 2D electron matter and provide us new insights into the strong correlation physics therein.


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: 418
Release: 2002-07-31
Genre: Science
ISBN: 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.


Interacting Electrons in Reduced Dimensions

Interacting Electrons in Reduced Dimensions
Author: Dionys Baeriswyl
Publisher: Springer Science & Business Media
Total Pages: 400
Release: 2012-12-06
Genre: Science
ISBN: 1461305659

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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.