New theoretical approaches to strongly correlated systems:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2001
|
| Schriftenreihe: | NATO science series
Series II: Mathematics, physics and chemistry ; 23 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 301 S. graph. Darst. |
| ISBN: | 0792370007 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804128979737640960 |
|---|---|
| adam_text | Titel: New theoretical approaches to strongly correlated systems
Autor: Tsvelik, Alexei M
Jahr: 2001
Contents Introduction ix Alexei Tsvelik List of Figures xi List of Tables xvii Part I Quantum Critical Points 1 Damping of collective modes and quasiparticles in d- wave superconductors 3 Subir Sachdev and Matthias Vojta 1. Introduction 3 2. Impurities and the S = 1 resonant collective mode 7 3. Inelastic damping of the nodal quasiparticles 12 References 18 Part II Strongly Correlated One-Dimensional Systems 2 Dynamical Properties of one dimensional Mott Insulators 25 Davide Controzzi, Fabian H.L. Essler and Alexei M. Tsvelik 1. ID Mott insulators 25 2. The Sine-Gordon model 28 3. Spectral representation of the optical conductivity 31 4. Vicinity of the Luther-Emery point 36 5. Large energy behavior 37 6. Applications 41 References 43 3 Lectures on Non Perturbative Field Theory and Quantum Impurity Problems: Part II 47 ƒ/. Saleur 1. Introduction 47 2. Some generalities on form-factors 48
VI 3. Example: The sinh-Gordon model 55 4. The sine-Gordon Model 63 5. Conductance in the fractional quantum Hall effect 67 6. Anisotropic Kondo model and dissipative quantum mechanics 72 7. Friedel oscillations: correlations involving Vertex operators 79 8. Conclusion 85 References 86 4 Ising-model Description of Quantum Critical Points in ID Electron and Spin Systems 89 A.A. Nersesyan 1. Introduction 89 2. The model and its quasi-classical analysis 91 3. Relation between DSG model and deformed quantum Ashkin-Teller model 92 4. Deformed quantum Ashkin-Teller model in the (o’, t) representation and the Ising transition 97 5. Correlation functions 100 6. Dimerized Heisenbeig chain in a staggered magnetic field 103 7. Ising transition in the ID Hubbard model with alternating chemical potential 107 8. Conclusions 114 References 115 5 Commensurability, topology and Luttinger’s theorem in quantum many- body systems 117 Masaki Oshikawa 1. Introduction 117 2. Magnetization process of quantum spin system 119 3. One dimension - field theory 123 4. One dimension - Lieb-Schultz-Mattis argument 126 5. A route to Luttinger’s theorem 129 6. Going up to higher dimensions 132 7. Conclusion 135 References 136 Part III Strong Correlations and Disorder 6 Critical points two-dimensional replica sigma models 141 Paul Fendley 1. Perturbative peculiarities 148 2. WZW term 149
vii 3. ©term 152 References 159 7 Topics in the conformal field theory of disordered systems 163 John Cardy 1. Logarithmic factors in correlation functions 163 2. Percolation cluster numbers and the spin quantum Hall transition 167 References 170 8 Disordered Dirac Fermions: Three Different Approaches 173 M.J. Bhaseen, J.-S. Caux, I.I. Kogan andA.M. Tvelik 1. Introduction 173 2. Massless Dirac Electrons in a Random Gauge Potential (DRGP model) 175 3. The Osp (2|2) WZNW model 183 4. Conductivity 190 5. The tale of two limits 192 6. Conclusion 195 7. Appendixes 196 References 201 9 Disordered Quantum Solids 205 T. Giamarchi and E. Orignac 1. Introduction 205 2. Disordered interacting Fermions 207 3. Tackling the disorder 209 4. Other systems and RG 217 5. A zest of numerics 219 6. Variational Method 221 7. Commensurate systems 240 8. Conclusions 249 References 250 Part IV Dynamical Mean Field Theory 10 Model Hamiltonians and First Principles Electronic Structure Calculations 259 G. Kotliar and S. Y. Savrasov 1. Introduction 259 2. Cellular DMFT 261 3. Qualitative Insights from DMFT applied to model Hamiltonians 265
viii 4. Density Functional Theory and LDA 272 5. LDA+U Method 276 6. Model Hamiltonians and First Principles Calculations 281 7. Dynamical mean-field theory 285 8. LDA+DMFT 289 9. Techniques for solving realistic DMFT equations 293 10. Successes 293 11. Connection with Landau functional 294 12. Extended DMFT, GW and GWU 295 13. Outlook 297 References 298
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| indexdate | 2024-07-09T18:57:51Z |
| institution | BVB |
| isbn | 0792370007 |
| language | English |
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| physical | XVII, 301 S. graph. Darst. |
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| series | NATO science series |
| series2 | NATO science series : Series II: Mathematics, physics and chemistry |
| spelling | New theoretical approaches to strongly correlated systems ed. by Alexei M. Tsvelik Dordrecht [u.a.] Kluwer 2001 XVII, 301 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier NATO science series : Series II: Mathematics, physics and chemistry 23 Champs, Théorie quantique des - Congrès ram Hall quantique, Effet - Congrès ram Matière condensée ram Physique des hautes énergies - Congrès ram Transitions de phases - Congrès ram Énergie, Bandes d' (physique) - Congrès ram Condensed matter Congresses Hubbard model Congresses Quantum Hall effect Congresses Quantum field theory Congresses Konforme Feldtheorie (DE-588)4312574-8 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Starke Kopplung (DE-588)4382353-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1999 Cambridge gnd-content Konforme Feldtheorie (DE-588)4312574-8 s Quantenfeldtheorie (DE-588)4047984-5 s Starke Kopplung (DE-588)4382353-1 s DE-604 Tsvelik, Alexei M. Sonstige oth NATO science series Series II: Mathematics, physics and chemistry ; 23 (DE-604)BV014048326 23 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009668409&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | New theoretical approaches to strongly correlated systems NATO science series Champs, Théorie quantique des - Congrès ram Hall quantique, Effet - Congrès ram Matière condensée ram Physique des hautes énergies - Congrès ram Transitions de phases - Congrès ram Énergie, Bandes d' (physique) - Congrès ram Condensed matter Congresses Hubbard model Congresses Quantum Hall effect Congresses Quantum field theory Congresses Konforme Feldtheorie (DE-588)4312574-8 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Starke Kopplung (DE-588)4382353-1 gnd |
| subject_GND | (DE-588)4312574-8 (DE-588)4047984-5 (DE-588)4382353-1 (DE-588)1071861417 |
| title | New theoretical approaches to strongly correlated systems |
| title_auth | New theoretical approaches to strongly correlated systems |
| title_exact_search | New theoretical approaches to strongly correlated systems |
| title_full | New theoretical approaches to strongly correlated systems ed. by Alexei M. Tsvelik |
| title_fullStr | New theoretical approaches to strongly correlated systems ed. by Alexei M. Tsvelik |
| title_full_unstemmed | New theoretical approaches to strongly correlated systems ed. by Alexei M. Tsvelik |
| title_short | New theoretical approaches to strongly correlated systems |
| title_sort | new theoretical approaches to strongly correlated systems |
| topic | Champs, Théorie quantique des - Congrès ram Hall quantique, Effet - Congrès ram Matière condensée ram Physique des hautes énergies - Congrès ram Transitions de phases - Congrès ram Énergie, Bandes d' (physique) - Congrès ram Condensed matter Congresses Hubbard model Congresses Quantum Hall effect Congresses Quantum field theory Congresses Konforme Feldtheorie (DE-588)4312574-8 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Starke Kopplung (DE-588)4382353-1 gnd |
| topic_facet | Champs, Théorie quantique des - Congrès Hall quantique, Effet - Congrès Matière condensée Physique des hautes énergies - Congrès Transitions de phases - Congrès Énergie, Bandes d' (physique) - Congrès Condensed matter Congresses Hubbard model Congresses Quantum Hall effect Congresses Quantum field theory Congresses Konforme Feldtheorie Quantenfeldtheorie Starke Kopplung Konferenzschrift 1999 Cambridge |
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