Field Theories for Low-Dimensional Condensed Matter Systems

Field Theories for Low-Dimensional Condensed Matter Systems

Author: Guiseppe Morandi

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 286

ISBN-13: 3662042738

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This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.


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

Published: 2012-12-06

Total Pages: 405

ISBN-13: 9401005303

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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.


Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

Author: Laurens Vanderstraeten

Publisher: Springer

Published: 2017-08-10

Total Pages: 229

ISBN-13: 3319641913

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This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.


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

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

Author: Stig Lundqvist

Publisher: World Scientific

Published: 1989-07-01

Total Pages: 170

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.


Correlation Effects in Low-Dimensional Electron Systems

Correlation Effects in Low-Dimensional Electron Systems

Author: Ayao Okiji

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 223

ISBN-13: 3642851290

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Correlation Effects in Low-Dimensional Electron Systems describes recent developments in theoretical condensed-matter physics, emphasizing exact solutions in one dimension including conformal-field theoretical approaches, the application of quantum groups, and numerical diagonalization techniques. Various key properties are presented for two-dimensional, highly correlated electron systems.


Low-Dimensional Systems

Low-Dimensional Systems

Author: Tobias Brandes

Publisher: Springer Science & Business Media

Published: 2000-04-05

Total Pages: 220

ISBN-13: 3540672370

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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.


Low-Dimensional Conductors and Superconductors

Low-Dimensional Conductors and Superconductors

Author: D. Jerome

Publisher: Springer Science & Business Media

Published: 2013-12-14

Total Pages: 524

ISBN-13: 1489936114

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Research activities in low dimensional conductors have shown a rapid growth since 1972 and have led to the discovery of new and remarkable phy sical properties unique to both molecular and inorganic conductors exhibi ting one-dimensional transport behaviour. This NATO Institute was a conti nuation of aseries of NATO Advanced Study Institutes of Worshops which took place at regular intervals till 1979. This is the first time, however, that charge density wave transport and electronic properties of low dimen sional organic conductors are treated on an equal footing. The program of the Institute was framed by tutorial lectures in the theories and experiments of low dimensional conductors. The bulk of the course covered two series of low-dimensional mate rials with their respective properties. 1) The I-D inorganic conductors exhibiting the phenomena of sliding charge density waves, narrow band noise, memory effects, etc ..• 2) Low-dimensional crystallized organic conductors giving rise to various possibilities of ground states, spin-Peierls, spin density wave, Peierls, superconductivity and magnetic-field induced spin density wave, etc ... Since it has been established from the beginning that this Institute was to be devoted essentially to the Physics of Low Dimensional Conductors, only one main course summarized the progress in chemistry and material preparation.


Effective Models for Low-Dimensional Strongly Correlated Systems

Effective Models for Low-Dimensional Strongly Correlated Systems

Author: Ghassan George Batrouni

Publisher: Springer Science & Business Media

Published: 2006-02-23

Total Pages: 340

ISBN-13: 9780735403093

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These proceedings cover the most recent developments in the fields of high temperature superconductivity, magnetic materials and cold atoms in traps. Special emphasis is given to recently developed numerical and analytical methods, such as effective model Hamiltonians, density matrix renormalization group as well as quantum Monte Carlo simulations. Several of the contributions are written by the pioneers of these methods.


Recent Progress in Many-body Theories

Recent Progress in Many-body Theories

Author: Joseph A. Carlson

Publisher: World Scientific

Published: 2006

Total Pages: 286

ISBN-13: 981256957X

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Quantum many-body theory has greatly expanded its scope and depth over the past few years, treating more deeply long-standing issues like phase transitions and strongly-correlated systems, and simultaneously expanding into new areas such as cold atom physics and quantum information. This collection of contributions highlights recent advances in all these areas by leaders in their respective fields. Also included are some historic perspectives by L P Gor'kov and S T Belyaev, Feenberg Medal Recipients at this conference, and Nobel Laureate P W Anderson gives his unique outlook on the future of physics.The volume covers the key topics in many-body theory, tied together through advances in theoretical tools and computational techniques, and a unifying theme of fundamental approaches to quantum many-body physics.