Interacting Electrons in Reduced Dimensions

Interacting Electrons in Reduced Dimensions

Author: Dionys Baeriswyl

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 400

ISBN-13: 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.


Electron-phonon Interactions in Low-dimensional Structures

Electron-phonon Interactions in Low-dimensional Structures

Author: Lawrence John Challis

Publisher:

Published: 2003

Total Pages: 302

ISBN-13: 9780198507321

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The study of electrons and holes confined to two, one and even zero dimensions has uncovered a rich variety of new physics and applications. This book describes the interaction between these confined carriers and the optic and acoustic phonons within and around the confined regions. Phonons provide the principal channel of energy transfer between the carriers and their surroundings and also the main restriction to their room temperature mobility. But they have many other roles; they provide, for example, an essential feature of the operation of the quantum cascade laser. Since their momenta at relevant energies are well matched to those of electrons, they can also be used to probe electronic properties such as the confinement width of 2D electron gases and the dispersion curve of quasiparticles in the fractional quantum Hall effect. The book describes both the physics of the electron-phonon interaction in the different confined systems and the experimental and theoretical techniques that have been used in its investigation. The experimental methods include optical and transport techniques as well as techniques in which phonons are used as the experimental probe. The aim of the book is to provide an up to date review of the physics and its significance in device performance. It is also written to be explanatory and accessible to graduate students and others new to the field.


Interacting Electrons and Quantum Magnetism

Interacting Electrons and Quantum Magnetism

Author: Assa Auerbach

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 249

ISBN-13: 1461208696

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In the excitement and rapid pace of developments, writing pedagogical texts has low priority for most researchers. However, in transforming my lecture l notes into this book, I found a personal benefit: the organization of what I understand in a (hopefully simple) logical sequence. Very little in this text is my original contribution. Most of the knowledge was collected from the research literature. Some was acquired by conversations with colleagues; a kind of physics oral tradition passed between disciples of a similar faith. For many years, diagramatic perturbation theory has been the major theoretical tool for treating interactions in metals, semiconductors, itiner ant magnets, and superconductors. It is in essence a weak coupling expan sion about free quasiparticles. Many experimental discoveries during the last decade, including heavy fermions, fractional quantum Hall effect, high temperature superconductivity, and quantum spin chains, are not readily accessible from the weak coupling point of view. Therefore, recent years have seen vigorous development of alternative, nonperturbative tools for handling strong electron-electron interactions. I concentrate on two basic paradigms of strongly interacting (or con strained) quantum systems: the Hubbard model and the Heisenberg model. These models are vehicles for fundamental concepts, such as effective Ha miltonians, variational ground states, spontaneous symmetry breaking, and quantum disorder. In addition, they are used as test grounds for various nonperturbative approximation schemes that have found applications in diverse areas of theoretical physics.


Lower-Dimensional Systems and Molecular Electronics

Lower-Dimensional Systems and Molecular Electronics

Author: Robert M. Metzger

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 729

ISBN-13: 1489920889

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This volume represents the written account of the NATO Advanced Study Institute "Lower-Dimensional Systems and Molecular Electronics" held at Hotel Spetses, Spetses Island, Greece from 12 June to 23 June 1989. The goal of the Institute was to demonstrate the breadth of chemical and physical knowledge that has been acquired in the last 20 years in inorganic and organic crystals, polymers, and thin films, which exhibit phenomena of reduced dimensionality. The interest in these systems started in the late 1960's with lower-dimensional inorganic conductors, in the early 1970's with quasi-one-dimensional crystalline organic conductors. which by 1979 led to the first organic superconductors, and, in 1977, to the fITSt conducting polymers. The study of monolayer films (Langmuir-Blodgett films) had progressed since the 1930's, but reached a great upsurge in . the early 1980's. The pursuit of non-linear optical phenomena became increasingly popular in the early 1980's, as the attention turned from inorganic crystals to organic films and polymers. And in the last few years the term "moleculw' electronics" has gained ever-increasing acceptance, although it is used in several contexts. We now have organic superconductors with critical temperatures in excess of 10 K, conducting polymers that are soluble and processable, and used commercially; we have films of a few monolayers that have high in-plane electrical conductivity, and polymers that show great promise in photonics; we even have a few devices that function almost at the molecular level.


Optical Phenomena in Semiconductor Structures of Reduced Dimensions

Optical Phenomena in Semiconductor Structures of Reduced Dimensions

Author: D.J. Lockwood

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 443

ISBN-13: 9401119120

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Remarkable advances in semiconductor growth and processing technologies continue to have a profound impact on condensed-matter physics and to stimulate the invention of novel optoelectronic effects. Intensive research on the behaviors of free carriers has been carried out in the two-dimensional systems of semiconductor heterostructures and in the one and zero-dimensional systems of nanostructures created by the state-of-the-art fabrication methods. These studies have uncovered unexpected quantum mechanical correlations that arise because of the combined effects of strong electron-electron interactions and wave function confinement associated with reduced dimensionality. The investigations of these phenomena are currently at the frontiers of condensed-matter physics. They include areas like the fractional quantum Hall effect, the dynamics of electrons on an ultra short (femtosecond) time scale, electron behavior in quantum wires and dots, and studies of electron tunneling phenomena in ultra small semiconductor structures. Optical techniques have made important contributions to these fields in recent years, but there has been no coherent review of this work until now. The book provides an overview of these recent developments that will be of interest to semiconductor materials scientists in university, government and industrial laboratories.


Interacting Electrons

Interacting Electrons

Author: Richard M. Martin

Publisher: Cambridge University Press

Published: 2016-06-30

Total Pages: 843

ISBN-13: 0521871506

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This book sets out modern methods of computing properties of materials, including essential theoretical background, computational approaches, practical guidelines and instructive applications.


Strong Interactions in Low Dimensions

Strong Interactions in Low Dimensions

Author: D. Baeriswyl

Publisher: Springer Science & Business Media

Published: 2007-09-29

Total Pages: 441

ISBN-13: 1402034636

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This book provides an attempt to convey the colorful facets of condensed matter systems with reduced dimensionality. Some of the specific features predicted for interacting one-dimensional electron systems, such as charge- and spin-density waves, have been observed in many quasi-one-dimensional materials. The two-dimensional world is even richer: besides d-wave superconductivity and the Quantum Hall Effect - perhaps the most spectacular phases explored during the last two decades - many collective charge and spin states have captured the interest of researchers, such as charge stripes or spontaneously generated circulating currents. Recent years have witnessed important progress in material preparation, measurement techniques and theoretical methods. Today larger and better samples, higher flux for neutron beams, advanced light sources, better resolution in electron spectroscopy, new computational algorithms, and the development of field-theoretical approaches allow an in-depth analysis of the complex many-body behaviour of low-dimensional materials. The epoch when simple mean-field arguments were sufficient for describing the gross features observed experimentally is definitely over. The Editors' aim is to thoroughly explain a number of selected topics: the application of dynamical probes, such as neutron scattering, optical absorption and photoemission, as well as transport studies, both electrical and thermal. Some of the more theoretical chapters are directly relevant for experiments, such as optical spectroscopy, transport in one-dimensional models, and the phenomenology of charge inhomogeneities in layered materials, while others discuss more general topics and methods, for example the concept of a Luttinger liquid and bosonization, or duality transformations, both promising tools for treating strongly interacting many-body systems.


Electron-phonon Interaction In Oxide Superconductors - Proceedings Of The First Cinvestav Superconductivity Symposium

Electron-phonon Interaction In Oxide Superconductors - Proceedings Of The First Cinvestav Superconductivity Symposium

Author: Rafael Baquero

Publisher: World Scientific

Published: 1991-12-31

Total Pages: 242

ISBN-13: 9814555932

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Contents:Lattice Vibrations of the Cuprate Superconductors (W Reichardt et al)Evidence of Strong Electron-Phonon Interaction from the Infrared Spectra of YBa2Cu3O7 (T Timusk & D B Tanner)Electron-Phonon Interaction and Infrared Spectra of High Temperature Superconductors (O V Dolgov et al)Tunneling Studies of Bimuthate and Cuprate Superconductors (J F Zasadzinski et al)Phonon Mechanism of the High Tc Superconductivity Based on the Tunneling Structure (D Shimada et al)Lattice Instabilities in High Temperature Superconductors: The X Tilt Point Energy Surface for La2-xBaxCuO4 (W E Pickett et al)Structural Instability and Strong Coupling in Oxide Superconductors (N M Plakida)On the Isotope Effect (J P Carbotte)Electron-Phonon Coupling, Oxygen Isotope Effect and Superconductivity in Ba1-xKxBio3 (C K Loong et al)Weak Coupling Theory of the High-Tc Superconductors Based on the Electron-Phonon Interaction (J Labbé)Phonon Self-Energy Effects in Migdal-Eliashberg Theory (F Marsiglio)Electron-Phonon Interaction and Superconductivity in BaxK1-xBiO3 (K Motizuki et al)The Effect of Strong Coulomb Correlations on Electron-Phonon Interactions in the Copper Oxides: Implications for Transport (J H Kim et al)Zinc Substitution Effects on the Superconducting Properties for Ld1.85Ce0.15CuO4-δ (V García-Vázquez et al)Manifestations of the e-ph Interaction: A Summary (R Baquero) Readership: Condensed matter physicists, applied physicists, chemists, electrical engineers and materials scientists. keywords: