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Bosonization and Strongly Correlated Systems

2004-12-16 Science
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Release : 2004-12-16
Genre : Science
Kind : eBook
Book Rating : 197/5 ( reviews)

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Book Synopsis Bosonization and Strongly Correlated Systems by : Alexander O. Gogolin

Download or read book Bosonization and Strongly Correlated Systems written by Alexander O. Gogolin. This book was released on 2004-12-16. Available in PDF, EPUB and Kindle. Book excerpt: 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

2003-07-01 Science
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Release : 2003-07-01
Genre : Science
Kind : eBook
Book Rating : 363/5 ( reviews)

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Book Synopsis Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems by : Rudolf Haussmann

Download or read book Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems written by Rudolf Haussmann. This book was released on 2003-07-01. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theoretical Methods for Strongly Correlated Electrons

2006-05-09 Science
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Release : 2006-05-09
Genre : Science
Kind : eBook
Book Rating : 177/5 ( reviews)

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Book Synopsis Theoretical Methods for Strongly Correlated Electrons by : David Sénéchal

Download or read book Theoretical Methods for Strongly Correlated Electrons written by David Sénéchal. This book was released on 2006-05-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Theoretical Approaches to Strongly Correlated Systems

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 388/5 ( reviews)

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Book Synopsis New Theoretical Approaches to Strongly Correlated Systems by : Alexei M. Tsvelik

Download or read book New Theoretical Approaches to Strongly Correlated Systems written by Alexei M. Tsvelik. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Field Theory in Condensed Matter Physics

2007-01-18 Science
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Release : 2007-01-18
Genre : Science
Kind : eBook
Book Rating : 500/5 ( reviews)

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Book Synopsis Quantum Field Theory in Condensed Matter Physics by : Alexei M. Tsvelik

Download or read book Quantum Field Theory in Condensed Matter Physics written by Alexei M. Tsvelik. This book was released on 2007-01-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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