Author: Alexander O. Gogolin
Publisher: Cambridge University Press
ISBN: 0521617197
Category : Science
Languages : en
Pages : 452
Book Description
Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
Bosonization and Strongly Correlated Systems
Author: Alexander O. Gogolin
Publisher: Cambridge University Press
ISBN: 0521617197
Category : Science
Languages : en
Pages : 452
Book Description
Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
Publisher: Cambridge University Press
ISBN: 0521617197
Category : Science
Languages : en
Pages : 452
Book Description
Detailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.
Theoretical Methods for Strongly Correlated Electrons
Author: David Sénéchal
Publisher: Springer Science & Business Media
ISBN: 0387217177
Category : Science
Languages : en
Pages : 370
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0387217177
Category : Science
Languages : en
Pages : 370
Book Description
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.
Quantum Field Theory in Condensed Matter Physics
Author: Alexei M. Tsvelik
Publisher: Cambridge University Press
ISBN: 1139440500
Category : Science
Languages : en
Pages : 361
Book Description
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.
Publisher: Cambridge University Press
ISBN: 1139440500
Category : Science
Languages : en
Pages : 361
Book Description
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.
Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems
Author: Rudolf Haussmann
Publisher: Springer Science & Business Media
ISBN: 3540489363
Category : Science
Languages : en
Pages : 181
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3540489363
Category : Science
Languages : en
Pages : 181
Book Description
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
Publisher: Springer Science & Business Media
ISBN: 9401008388
Category : Science
Languages : en
Pages : 308
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9401008388
Category : Science
Languages : en
Pages : 308
Book Description
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.
Topology of Strongly Correlated Systems
Author: Pedro Bicudo
Publisher: World Scientific
ISBN: 9789810245726
Category : Science
Languages : en
Pages : 270
Book Description
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).
Publisher: World Scientific
ISBN: 9789810245726
Category : Science
Languages : en
Pages : 270
Book Description
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).
Advanced Solid State Physics
Author: Philip Phillips
Publisher: Cambridge University Press
ISBN: 0521194903
Category : Science
Languages : en
Pages : 415
Book Description
Introduces students to the key research topics within modern solid state physics with the minimum of mathematics.
Publisher: Cambridge University Press
ISBN: 0521194903
Category : Science
Languages : en
Pages : 415
Book Description
Introduces students to the key research topics within modern solid state physics with the minimum of mathematics.
Disorder-Free Localization
Author: Adam Smith
Publisher: Springer
ISBN: 3030208516
Category : Science
Languages : en
Pages : 152
Book Description
This thesis is a contribution at the intersection of a number of active fields in theoretical and experimental condensed matter, particularly those concerned with disordered systems, integrable models, lattice gauge theories, and non-equilibrium quantum dynamics. It contributes an important new facet to our understanding of relaxation in isolated quantum systems by conclusively demonstrating localization without disorder for the first time, answering a long-standing question in this field. This is achieved by introducing a family of models – intimately related to paradigmatic condensed matter models – and studying their non-equilibrium dynamics through a combination of exact analytical mappings and an array of numerical techniques. This thesis also makes contributions relevant to the theory of quantum chaotic behaviour by calculating novel, and often intractable, entanglement measures and out-of-time-ordered correlators. A concrete and feasible proposal is also made for the experimental realization and dynamical study of the family of models, based on currently available technologies.
Publisher: Springer
ISBN: 3030208516
Category : Science
Languages : en
Pages : 152
Book Description
This thesis is a contribution at the intersection of a number of active fields in theoretical and experimental condensed matter, particularly those concerned with disordered systems, integrable models, lattice gauge theories, and non-equilibrium quantum dynamics. It contributes an important new facet to our understanding of relaxation in isolated quantum systems by conclusively demonstrating localization without disorder for the first time, answering a long-standing question in this field. This is achieved by introducing a family of models – intimately related to paradigmatic condensed matter models – and studying their non-equilibrium dynamics through a combination of exact analytical mappings and an array of numerical techniques. This thesis also makes contributions relevant to the theory of quantum chaotic behaviour by calculating novel, and often intractable, entanglement measures and out-of-time-ordered correlators. A concrete and feasible proposal is also made for the experimental realization and dynamical study of the family of models, based on currently available technologies.
Lecture Notes On Field Theory In Condensed Matter Physics
Author: Christopher Mudry
Publisher: World Scientific Publishing Company
ISBN: 9814449121
Category : Science
Languages : en
Pages : 745
Book Description
The aim of this book is to introduce a graduate student to selected concepts in condensed matter physics for which the language of field theory is ideally suited. The examples considered in this book are those of superfluidity for weakly interacting bosons, collinear magnetism, and superconductivity. Quantum phase transitions are also treated in the context of quantum dissipative junctions and interacting fermions constrained to one-dimensional position space. The style of presentation is sufficiently detailed and comprehensive that it only presumes familiarity with undergraduate physics.
Publisher: World Scientific Publishing Company
ISBN: 9814449121
Category : Science
Languages : en
Pages : 745
Book Description
The aim of this book is to introduce a graduate student to selected concepts in condensed matter physics for which the language of field theory is ideally suited. The examples considered in this book are those of superfluidity for weakly interacting bosons, collinear magnetism, and superconductivity. Quantum phase transitions are also treated in the context of quantum dissipative junctions and interacting fermions constrained to one-dimensional position space. The style of presentation is sufficiently detailed and comprehensive that it only presumes familiarity with undergraduate physics.
Magnetism
Author: Joel S. Miller
Publisher: John Wiley & Sons
ISBN: 3527605401
Category : Science
Languages : en
Pages : 496
Book Description
Magnetic phenomena and materials are everywhere. Our understanding of magnetic behavior, once thought to be mature, has enjoyed new impetus from contributions ranging from molecular chemistry, materials chemistry and sciences to solid state physics. New phenomena are explored that open promising perspectives for commercial applications in future - carrying out chemical reactions in magnetic fields is just one of those. The spectrum spans molecule-based - organic, (bio)inorganic, and hybrid - compounds, metallic materials as well as their oxides forming thin films, nanoparticles, wires etc. Reflecting contemporary knowledge, this open series of volumes provides a much-needed comprehensive overview of this growing interdisciplinary field. Topical reviews written by foremost scientists explain the trends and latest advances in a clear and detailed way. By maintaining the balance between theory and experiment, the book provides a guide for both advanced students and specialists to this research area. It will help evaluate their own experimental observations and serve as a basis for the design of new magnetic materials. A unique reference work, indispensable for everyone concerned with the phenomena of magnetism!
Publisher: John Wiley & Sons
ISBN: 3527605401
Category : Science
Languages : en
Pages : 496
Book Description
Magnetic phenomena and materials are everywhere. Our understanding of magnetic behavior, once thought to be mature, has enjoyed new impetus from contributions ranging from molecular chemistry, materials chemistry and sciences to solid state physics. New phenomena are explored that open promising perspectives for commercial applications in future - carrying out chemical reactions in magnetic fields is just one of those. The spectrum spans molecule-based - organic, (bio)inorganic, and hybrid - compounds, metallic materials as well as their oxides forming thin films, nanoparticles, wires etc. Reflecting contemporary knowledge, this open series of volumes provides a much-needed comprehensive overview of this growing interdisciplinary field. Topical reviews written by foremost scientists explain the trends and latest advances in a clear and detailed way. By maintaining the balance between theory and experiment, the book provides a guide for both advanced students and specialists to this research area. It will help evaluate their own experimental observations and serve as a basis for the design of new magnetic materials. A unique reference work, indispensable for everyone concerned with the phenomena of magnetism!