Interacting Electrons In Reduced Dimensions

Author : Dionys Baeriswyl
Publisher : Springer Science & Business Media
ISBN 13 : 1461305659
Total Pages : 400 pages
Book Rating : 4.51/5 ( download)

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Download or read book Interacting Electrons in Reduced Dimensions written by Dionys Baeriswyl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Tobias Brandes
Publisher : Springer Science & Business Media
ISBN 13 : 3540672370
Total Pages : 220 pages
Book Rating : 4.71/5 ( download)

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Download or read book Low-Dimensional Systems written by Tobias Brandes and published by Springer Science & Business Media. This book was released on 2000-04-05 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental progress over the past few years has made it possible to test a n- ber of fundamental physical concepts related to the motion of electrons in low dimensions. The production and experimental control of novel structures with typical sizes in the sub-micrometer regime has now become possible. In parti- lar, semiconductors are widely used in order to con?ne the motion of electrons in two-dimensional heterostructures. The quantum Hall e?ect was one of the ?rst highlights of the new physics that is revealed by this con?nement. In a further step of the technological development in semiconductor-heterostructures, other arti?cial devices such as quasi one-dimensional ‘quantum wires’ and ‘quantum dots’ (arti?cial atoms) have also been produced. These structures again di?er very markedly from three- and two-dimensional systems, especially in relation to the transport of electrons and the interaction with light. Although the technol- ical advances and the experimental skills connected with these new structures are progressing extremely fast, our theoretical understanding of the physical e?ects (such as the quantum Hall e?ect) is still at a very rudimentary level. In low-dimensional structures, the interaction of electrons with one another and with other degrees of freedoms such as lattice vibrations or light gives rise to new phenomena that are very di?erent from those familiar in the bulk ma- rial. The theoretical formulation of the electronic transport properties of small devices may be considered well-established, provided interaction processes are neglected.

Author : Lawrence John Challis
Publisher :
ISBN 13 : 9780198507321
Total Pages : 302 pages
Book Rating : 4.21/5 ( download)

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Download or read book Electron-phonon Interactions in Low-dimensional Structures written by Lawrence John Challis and published by . This book was released on 2003 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Assa Auerbach
Publisher : Springer Science & Business Media
ISBN 13 : 1461208696
Total Pages : 249 pages
Book Rating : 4.93/5 ( download)

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Download or read book Interacting Electrons and Quantum Magnetism written by Assa Auerbach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Richard M. Martin
Publisher : Cambridge University Press
ISBN 13 : 0521871506
Total Pages : 843 pages
Book Rating : 4.01/5 ( download)

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Download or read book Interacting Electrons written by Richard M. Martin and published by Cambridge University Press. This book was released on 2016-06-30 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sets out modern methods of computing properties of materials, including essential theoretical background, computational approaches, practical guidelines and instructive applications.

Author : D. Baeriswyl
Publisher : Springer Science & Business Media
ISBN 13 : 1402034636
Total Pages : 441 pages
Book Rating : 4.33/5 ( download)

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Download or read book Strong Interactions in Low Dimensions written by D. Baeriswyl and published by Springer Science & Business Media. This book was released on 2007-09-29 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Christian Schüller
Publisher : Springer Science & Business Media
ISBN 13 : 3540365257
Total Pages : 183 pages
Book Rating : 4.59/5 ( download)

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Download or read book Inelastic Light Scattering of Semiconductor Nanostructures written by Christian Schüller and published by Springer Science & Business Media. This book was released on 2006-09-14 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of semiconductor nanostructures is of enormous and still-growing research interest. On one hand, they are already realized in mass products such as high-electron-mobility field-effect transistors and quantum-well lasers. On the other hand, they allow, in specially tailored systems, the investigation of fundamental properties such as many-particle interactions of electrons in reduced dimensions. This book bridges the gap between general semiconductor textbooks and research articles.

Author : Vladimir E. Korepin
Publisher : World Scientific
ISBN 13 : 9789810215347
Total Pages : 506 pages
Book Rating : 4.47/5 ( download)

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Download or read book Exactly Solvable Models of Strongly Correlated Electrons written by Vladimir E. Korepin and published by World Scientific. This book was released on 1994 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Steven P. Beaumont
Publisher : Springer Science & Business Media
ISBN 13 : 1468457330
Total Pages : 338 pages
Book Rating : 4.39/5 ( download)

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Download or read book Science and Engineering of One- and Zero-Dimensional Semiconductors written by Steven P. Beaumont and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the proceedings of the NATO Advanced Research Workshop on the Science and Engineering of 1- and O-dimensional semiconductors held at the University of Cadiz from 29th March to 1st April 1989, under the auspices of the NATO International Scientific Exchange Program. There is a wealth of scientific activity on the properties of two-dimensional semiconductors arising largely from the ease with which such structures can now be grown by precision epitaxy techniques or created by inversion at the silicon-silicon dioxide interface. Only recently, however, has there burgeoned an interest in the properties of structures in which carriers are further confined with only one or, in the extreme, zero degrees of freedom. This workshop was one of the first meetings to concentrate almost exclusively on this subject: that the attendance of some forty researchers only represented the community of researchers in the field testifies to its rapid expansion, which has arisen from the increasing availability of technologies for fabricating structures with small enough (sub - O. I/tm) dimensions. Part I of this volume is a short section on important topics in nanofabrication. It should not be assumed from the brevity of this section that there is little new to be said on this issue: rather that to have done justice to it would have diverted attention from the main purpose of the meeting which was to highlight experimental and theoretical research on the structures themselves.

Author : Andrei D. Zaikin
Publisher : CRC Press
ISBN 13 : 1000024202
Total Pages : 393 pages
Book Rating : 4.03/5 ( download)

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Download or read book Dissipative Quantum Mechanics of Nanostructures written by Andrei D. Zaikin and published by CRC Press. This book was released on 2019-05-24 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing miniaturization of electronic devices, together with the quickly growing number of nanotechnological applications, demands a profound understanding of the underlying physics. Most of the fundamental problems of modern condensed matter physics involve various aspects of quantum transport and fluctuation phenomena at the nanoscale. In nanostructures, electrons are usually confined to a limited volume and interact with each other and lattice ions, simultaneously suffering multiple scattering events on impurities, barriers, surface imperfections, and other defects. Electron interaction with other degrees of freedom generally yields two major consequences, quantum dissipation and quantum decoherence. In other words, electrons can lose their energy and ability for quantum interference even at very low temperatures. These two different, but related, processes are at the heart of all quantum phenomena discussed in this book. This book presents copious details to facilitate the understanding of the basic physics behind a result and the learning to technically reproduce the result without delving into extra literature. The book subtly balances the description of theoretical methods and techniques and the display of the rich landscape of the physical phenomena that can be accessed by these methods. It is useful for a broad readership ranging from master’s and PhD students to postdocs and senior researchers.