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Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA
| Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (312 p.) |
| Disciplina | 530.12015195 |
| Altri autori (Persone) |
MastropietroVieri
MattisDaniel Charles <1932-> |
| Collana | Series on directions in condensed matter physics |
| Soggetto topico | Condensed matter - Research |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4520-72-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface Vieri Mastropietro; Introduction Daniel C. Mattis; Chapter I:. The Luttinger Model and Its Solution; An Exactly Soluble Model of a Many-Fermion System Joaquin M. Luttinger; I. INTRODUCTION; II. EXACT SOLUTION OF THE MODEL; III. EXPLICIT EVALUATION OF MOMENTUM DISTRIBUTION; IV. COMPARISON WITH PERTURBATION THEORY; V. RESPONSE TO EXTERNAL FIELDS; APPENDIX; ACKNOWLEDGMENTS; Exact Solution of a Many-Fermion System and Its Associated Boson Field Daniel C. Mattis and Elliott H. Lieb; I. INTRODUCTION; II. MODEL HAMILTONIAN; III. CASE OF THE FILLED DIRAC SEA
IV. SOLUTIONS OF THE MODEL HAMllTONIANV. EVALUATION OF THE MOMENTUM DISTRIBUTION; VI. DIELECTRIC CONSTANT; APPENDIX; ACKNOWLEDGMENTS; Chapter II: Lattice, Dynamical and Nonlinear Effects; Luttinger Model and Luttinger Liquids Vieri Mastropietro; 1. Introduction; 2. The Luttinger Model Exact Solution; 3. Nonsolvable Lattice Models and the Luttinger Liquid Conjecture; 4. Exact Renormalization Group Analysis; 5. Emerging Symmetries and Vanishing of Beta Function; 6. Ward Identities and Anomalies; 7. Proof of the Luttinger Liquid Relations in Nonsolvable Models; 8. Conclusions; References The Luttinger Liquid and Integrable Models Jesko Sirker1. Introduction; 2. Quantum Integrability; 2.1. Consequences for transport; 2.2. Consequences for thermalization in closed systems; 3. Low-Energy Description of the XXZ Model; 3.1. Irrelevant operators in the finite field case; 3.2. Irrelevant operators for zero field; 4. The Bethe Ansatz Solution; 5. Fixing Parameters of the Luttinger Model Using Integrability; 5.1. Velocity and Luttinger liquid parameter; 5.2. Coupling constants of irrelevant operators; 5.2.1. The zero field case; 5.2.2. The finite field case; 6. Applications 6.1. Impurities, Friedel oscillations and nuclear magnetic resonance6.2. The spin-lattice relaxation rate and transport; 7. Conclusions; Acknowledgments; References; Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo G. Pereira; 1. Introduction; 2. Breakdown of LL Theory by Band Curvature Effects; 3. High Energy Contributions to Time-Dependent Correlation Functions; 4. Long Time Decay at Finite Temperatures; 5. Conclusion and Outlook; Acknowledgments; References; An Expanded Luttinger Model Daniel C. Mattis; 1. Introduction; 2. Review of the (Original) Dispersionless Model 3. Neglect of Exchange Terms4. Important Features of the Original Luttinger Model; 5. Dispersion: The New Feature; 6. Notation; 7. Equations of Motion in the Generalized Model; 8. Eigenvalue Equation at Long Wavelengths; 9. Attractive Versus Repulsive Forces; 10. Conclusion; Appendix A; References; Chapter III: Applications and Experimental Test; Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description Orion Ciftja; 1. Introduction; 2. Luttinger Liquid and Bosonization; 3. Quantum Hall Effect and the Laughlin States 4. Luttinger Liquid Description of Quantum Hall Edge States |
| Record Nr. | UNINA-9910453251603321 |
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA
| Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiii, 297 pages) : illustrations (some color) |
| Disciplina | 530.12015195 |
| Collana | Series on directions in condensed matter physics |
| Soggetto topico |
Luttinger liquids
Condensed matter - Research |
| ISBN | 981-4520-72-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface Vieri Mastropietro; Introduction Daniel C. Mattis; Chapter I:. The Luttinger Model and Its Solution; An Exactly Soluble Model of a Many-Fermion System Joaquin M. Luttinger; I. INTRODUCTION; II. EXACT SOLUTION OF THE MODEL; III. EXPLICIT EVALUATION OF MOMENTUM DISTRIBUTION; IV. COMPARISON WITH PERTURBATION THEORY; V. RESPONSE TO EXTERNAL FIELDS; APPENDIX; ACKNOWLEDGMENTS; Exact Solution of a Many-Fermion System and Its Associated Boson Field Daniel C. Mattis and Elliott H. Lieb; I. INTRODUCTION; II. MODEL HAMILTONIAN; III. CASE OF THE FILLED DIRAC SEA
IV. SOLUTIONS OF THE MODEL HAMllTONIANV. EVALUATION OF THE MOMENTUM DISTRIBUTION; VI. DIELECTRIC CONSTANT; APPENDIX; ACKNOWLEDGMENTS; Chapter II: Lattice, Dynamical and Nonlinear Effects; Luttinger Model and Luttinger Liquids Vieri Mastropietro; 1. Introduction; 2. The Luttinger Model Exact Solution; 3. Nonsolvable Lattice Models and the Luttinger Liquid Conjecture; 4. Exact Renormalization Group Analysis; 5. Emerging Symmetries and Vanishing of Beta Function; 6. Ward Identities and Anomalies; 7. Proof of the Luttinger Liquid Relations in Nonsolvable Models; 8. Conclusions; References The Luttinger Liquid and Integrable Models Jesko Sirker1. Introduction; 2. Quantum Integrability; 2.1. Consequences for transport; 2.2. Consequences for thermalization in closed systems; 3. Low-Energy Description of the XXZ Model; 3.1. Irrelevant operators in the finite field case; 3.2. Irrelevant operators for zero field; 4. The Bethe Ansatz Solution; 5. Fixing Parameters of the Luttinger Model Using Integrability; 5.1. Velocity and Luttinger liquid parameter; 5.2. Coupling constants of irrelevant operators; 5.2.1. The zero field case; 5.2.2. The finite field case; 6. Applications 6.1. Impurities, Friedel oscillations and nuclear magnetic resonance6.2. The spin-lattice relaxation rate and transport; 7. Conclusions; Acknowledgments; References; Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo G. Pereira; 1. Introduction; 2. Breakdown of LL Theory by Band Curvature Effects; 3. High Energy Contributions to Time-Dependent Correlation Functions; 4. Long Time Decay at Finite Temperatures; 5. Conclusion and Outlook; Acknowledgments; References; An Expanded Luttinger Model Daniel C. Mattis; 1. Introduction; 2. Review of the (Original) Dispersionless Model 3. Neglect of Exchange Terms4. Important Features of the Original Luttinger Model; 5. Dispersion: The New Feature; 6. Notation; 7. Equations of Motion in the Generalized Model; 8. Eigenvalue Equation at Long Wavelengths; 9. Attractive Versus Repulsive Forces; 10. Conclusion; Appendix A; References; Chapter III: Applications and Experimental Test; Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description Orion Ciftja; 1. Introduction; 2. Luttinger Liquid and Bosonization; 3. Quantum Hall Effect and the Laughlin States 4. Luttinger Liquid Description of Quantum Hall Edge States |
| Record Nr. | UNINA-9910790869503321 |
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA
| Luttinger model : the first 50 years and some new directions / / edited by Vieri Mastropietro, University of Milan, Italy, Daniel Charles Mattis, University of Utah, USA |
| Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2014] |
| Descrizione fisica | 1 online resource (xiii, 297 pages) : illustrations (some color) |
| Disciplina | 530.12015195 |
| Collana | Series on directions in condensed matter physics |
| Soggetto topico |
Luttinger liquids
Condensed matter - Research |
| ISBN | 981-4520-72-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface Vieri Mastropietro; Introduction Daniel C. Mattis; Chapter I:. The Luttinger Model and Its Solution; An Exactly Soluble Model of a Many-Fermion System Joaquin M. Luttinger; I. INTRODUCTION; II. EXACT SOLUTION OF THE MODEL; III. EXPLICIT EVALUATION OF MOMENTUM DISTRIBUTION; IV. COMPARISON WITH PERTURBATION THEORY; V. RESPONSE TO EXTERNAL FIELDS; APPENDIX; ACKNOWLEDGMENTS; Exact Solution of a Many-Fermion System and Its Associated Boson Field Daniel C. Mattis and Elliott H. Lieb; I. INTRODUCTION; II. MODEL HAMILTONIAN; III. CASE OF THE FILLED DIRAC SEA
IV. SOLUTIONS OF THE MODEL HAMllTONIANV. EVALUATION OF THE MOMENTUM DISTRIBUTION; VI. DIELECTRIC CONSTANT; APPENDIX; ACKNOWLEDGMENTS; Chapter II: Lattice, Dynamical and Nonlinear Effects; Luttinger Model and Luttinger Liquids Vieri Mastropietro; 1. Introduction; 2. The Luttinger Model Exact Solution; 3. Nonsolvable Lattice Models and the Luttinger Liquid Conjecture; 4. Exact Renormalization Group Analysis; 5. Emerging Symmetries and Vanishing of Beta Function; 6. Ward Identities and Anomalies; 7. Proof of the Luttinger Liquid Relations in Nonsolvable Models; 8. Conclusions; References The Luttinger Liquid and Integrable Models Jesko Sirker1. Introduction; 2. Quantum Integrability; 2.1. Consequences for transport; 2.2. Consequences for thermalization in closed systems; 3. Low-Energy Description of the XXZ Model; 3.1. Irrelevant operators in the finite field case; 3.2. Irrelevant operators for zero field; 4. The Bethe Ansatz Solution; 5. Fixing Parameters of the Luttinger Model Using Integrability; 5.1. Velocity and Luttinger liquid parameter; 5.2. Coupling constants of irrelevant operators; 5.2.1. The zero field case; 5.2.2. The finite field case; 6. Applications 6.1. Impurities, Friedel oscillations and nuclear magnetic resonance6.2. The spin-lattice relaxation rate and transport; 7. Conclusions; Acknowledgments; References; Long Time Correlations of Nonlinear Luttinger Liquids Rodrigo G. Pereira; 1. Introduction; 2. Breakdown of LL Theory by Band Curvature Effects; 3. High Energy Contributions to Time-Dependent Correlation Functions; 4. Long Time Decay at Finite Temperatures; 5. Conclusion and Outlook; Acknowledgments; References; An Expanded Luttinger Model Daniel C. Mattis; 1. Introduction; 2. Review of the (Original) Dispersionless Model 3. Neglect of Exchange Terms4. Important Features of the Original Luttinger Model; 5. Dispersion: The New Feature; 6. Notation; 7. Equations of Motion in the Generalized Model; 8. Eigenvalue Equation at Long Wavelengths; 9. Attractive Versus Repulsive Forces; 10. Conclusion; Appendix A; References; Chapter III: Applications and Experimental Test; Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description Orion Ciftja; 1. Introduction; 2. Luttinger Liquid and Bosonization; 3. Quantum Hall Effect and the Laughlin States 4. Luttinger Liquid Description of Quantum Hall Edge States |
| Record Nr. | UNINA-9910807941803321 |
| New Jersey : , : World Scientific, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum many body systems : Cetraro, Italy 2010 / / Vincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason
| Quantum many body systems : Cetraro, Italy 2010 / / Vincent Rivasseau ... [et al.] ; editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason |
| Edizione | [1st ed. 2012.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Springer Verlag, 2012 |
| Descrizione fisica | 1 online resource (XIII, 180 p. 11 illus., 1 illus. in color.) |
| Disciplina | 530.120151 |
| Altri autori (Persone) |
RivasseauVincent <1955->
SeiringerRobert SolovejJan Philip SpencerThomas <1946-> GiulianiAlessandro MastropietroVieri Jakob Yngvason |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Many-body problem
Mathematics |
| ISBN | 3-642-29511-8 |
| Classificazione | 82B1081V7082B2882B44 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1.Introduction to the Renormalization Group with Applications to Non-Relativistic Quantum Electron Gases. Vincent Rivasseau -- 2.Cold Quantum Gases and Bose-Einstein Condensation. Robert Seiringer -- 3. Quantum Coulomb gases. Jan Philip Solovey -- 4. SUSY Statistical Mechanics and Random Band Matrices. Thomas Spencer. |
| Record Nr. | UNINA-9910484006803321 |
| Berlin ; ; New York, : Springer Verlag, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||