Bosonization And Strongly Correlated Systems
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Bosonization and Strongly Correlated Systems
Author | : Alexander O. Gogolin,Alexander A. Nersesyan,Alexei M. Tsvelik |
Publsiher | : Cambridge University Press |
Total Pages | : 452 |
Release | : 2004-12-16 |
Genre | : Science |
ISBN | : 9780521617192 |
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Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
Self consistent Quantum Field Theory and Bosonization for Strongly Correlated Electron Systems
Author | : Rudolf Haussmann |
Publsiher | : Springer Science & Business Media |
Total Pages | : 181 |
Release | : 2003-07-01 |
Genre | : Science |
ISBN | : 9783540489368 |
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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.
New Theoretical Approaches to Strongly Correlated Systems
Author | : Alexei M. Tsvelik |
Publsiher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9789401008389 |
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For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.
Theoretical Methods for Strongly Correlated Electrons
Author | : David Sénéchal,Andre-Marie Tremblay,Claude Bourbonnais |
Publsiher | : Springer Science & Business Media |
Total Pages | : 370 |
Release | : 2006-05-09 |
Genre | : Science |
ISBN | : 9780387217178 |
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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.
Strongly Correlated Systems
![Strongly Correlated Systems](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2001 |
Genre | : Condensed matter |
ISBN | : OCLC:637867517 |
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Quantum Field Theory in Strongly Correlated Electronic Systems
Author | : Naoto Nagaosa |
Publsiher | : Springer Science & Business Media |
Total Pages | : 188 |
Release | : 1999-09-20 |
Genre | : Science |
ISBN | : 3540659811 |
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In this book the author extends the concepts introduced in his Quantum Field Theory in Condensed Matter Physics to situations in which the strong electronic correlations are crucial for the understanding of the observed phenomena. Starting from a model field theory to illustrate the basic ideas, more complex systems are analyzed in turn. A special chapter is devoted to the description of antiferromagnets, doped Mott insulators, and quantum Hall liquids from the point of view of gauge theory.
Topology of Strongly Correlated Systems
Author | : Pedro Bicudo |
Publsiher | : World Scientific |
Total Pages | : 270 |
Release | : 2001 |
Genre | : Science |
ISBN | : 9810245726 |
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The XVIII Lisbon Autumn School brought together physicists from different areas, ranging from QCD to condensed matter. This subject will be of ever-growing importance in the coming years. The topics covered are: Anomalies, Physical Charges, Chiral Symmetry, Vortices (Superconductivity, Solitons, Kosterlitz-Thouless Transitions), Non-trivial Topology on the Lattice, Confinement (Wilson Loops and Strings, Instantons, Abelian Higgs Model, Dual QCD).
Quantum Field Theory in Condensed Matter Physics
Author | : Alexei M. Tsvelik |
Publsiher | : Cambridge University Press |
Total Pages | : 361 |
Release | : 2007-01-18 |
Genre | : Science |
ISBN | : 9781139440509 |
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This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.