Strongly Correlated Electrons In Two Dimensions
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| Author | : Sergey Kravchenko |
| Publisher | : CRC Press |
| Total Pages | : 244 |
| Release | : 2017-05-25 |
| Genre | : Science |
| ISBN | : 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.
| Author | : David Sénéchal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 370 |
| Release | : 2006-05-09 |
| Genre | : Science |
| ISBN | : 0387217177 |
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.
| Author | : Janez Bonca |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 451 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9401007713 |
Proceedings of the NATO Advanced Research Workshop, Bled, Slovenia, 26-30 April 2000
| Author | : Andrei A. Zvyagin |
| Publisher | : World Scientific |
| Total Pages | : 380 |
| Release | : 2005 |
| Genre | : Science |
| ISBN | : 1860945031 |
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.
| Author | : Alfredo Mac¡as |
| Publisher | : World Scientific |
| Total Pages | : 373 |
| Release | : 2010 |
| Genre | : Science |
| ISBN | : 981430753X |
Prof Leopoldo Garcia-Colin will become 80 years old in 2010, therefore we are interested in the publication of a Festschrift (book) to honor him. Prof Garcia-Colin has worked in many different fields of statistical physics, and has applied it to biological physics, solid state physics, relativity and cosmology. We are planning a 500 pages book with original and peer-reviewed articles from his friends and former students. We may buy about 100 copies of it.
| Author | : Rudolf Haussmann |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 181 |
| Release | : 2003-07-01 |
| Genre | : Science |
| ISBN | : 3540489363 |
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.
| Author | : Stig Lundqvist |
| Publisher | : World Scientific |
| Total Pages | : 170 |
| Release | : 1989-07-01 |
| Genre | : |
| ISBN | : 9813223340 |
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.
| Author | : Igor V. Lerner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 1200 |
| Release | : 2002-07-31 |
| Genre | : Science |
| ISBN | : 9781402007491 |
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.
| Author | : Peter Fulde |
| Publisher | : World Scientific |
| Total Pages | : 550 |
| Release | : 2012-08-08 |
| Genre | : Science |
| ISBN | : 9814397229 |
An understanding of the effects of electronic correlations in quantum systems is one of the most challenging problems in physics, partly due to the relevance in modern high technology. Yet there exist hardly any books on the subject which try to give a comprehensive overview on the field covering insulators, semiconductors, as well as metals. The present book tries to fill that gap.It intends to provide graduate students and researchers a comprehensive survey of electron correlations, weak and strong, in insulators, semiconductors and metals. This topic is a central one in condensed matter and beyond that in theoretical physics. The reader will have a better understanding of the great progress which has been made in the field over the past few decades.
| Author | : Baskaran G |
| Publisher | : World Scientific |
| Total Pages | : 506 |
| Release | : 1990-01-01 |
| Genre | : |
| ISBN | : 9814513318 |
