A Numerical Renormalization Group Approach to Dissipative ...

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vom Fachbereich Physik der Johann Wolfgang Goethe-Universität als Dissertation angenommen. Dekan Prof. Dr. Michael Huth Gutachter Prof. Dr. Walter Hofstetter Prof. Dr. Peter Kopietz
Page 1: A Numerical Renormalization Group A
Page 5 and 6: ii CONTENTS 7 Complete Basis 49 7.1
Page 7: Table of Contents 1 B Detailed Deri
Page 10 and 11: 2 CONTENTS Structure of this thesis
Page 13: Part I Experimental Motivation 5
Page 16 and 17: 8 CHAPTER 1. Kondo Effect Kondo in
Page 18 and 19: 10 CHAPTER 1. Kondo Effect (indepen
Page 20 and 21: 12 CHAPTER 1. Kondo Effect Figure 1
Page 22 and 23: 14 CHAPTER 2. Coherent Control of S
Page 24 and 25: 16 CHAPTER 2. Coherent Control of S
Page 27 and 28: Chapter 3 Molecular Electronics In
Page 29 and 30: 3.1 C60-Molecule Quantum Dots 21 Fi
Page 31 and 32: 3.2 Single Molecule Magnets 23 Figu
Page 33: Part II Numerical Renormalization G
Page 36 and 37: 28 CHAPTER 4. Fermionic Baths condu
Page 38 and 39: 30 CHAPTER 4. Fermionic Baths we ha
Page 40 and 41: 32 CHAPTER 4. Fermionic Baths Figur
Page 42 and 43: 34 CHAPTER 4. Fermionic Baths Figur
Page 44 and 45: 36 CHAPTER 4. Fermionic Baths Energ
Page 46 and 47: 38 CHAPTER 5. Bosonic Baths (cf. Re
Page 48 and 49: 40 CHAPTER 5. Bosonic Baths Now we
Page 50 and 51: 42 CHAPTER 5. Bosonic Baths The fol
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44 CHAPTER 6. Density Matrix Numeri
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46 CHAPTER 6. Density Matrix Numeri
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Chapter 7 Complete Basis 7.1 Over-c
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7.2 Complete Basis 51 Figure 7.3: S
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7.4 Application to Spectral Functio
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7.4 Application to Spectral Functio
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58 CHAPTER 8. Time-dependence 8.2 T
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60 CHAPTER 8. Time-dependence The t
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62 CHAPTER 8. Time-dependence where
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64 CHAPTER 8. Time-dependence Magne
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66 CHAPTER 9. Finite Temperatures H
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68 CHAPTER 9. Finite Temperatures S
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70 CHAPTER 10. Improving Accuracy E
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72 CHAPTER 10. Improving Accuracy e
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74 CHAPTER 10. Improving Accuracy E
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Part III Applications 77
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80 CHAPTER 11. Ferromagnetic Kondo
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Chapter 12 Fermionic vs. Bosonic Ba
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12.1.2 Experimental Realizations 95
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12.2 Bosonization Mapping 97 The co
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12.3 Static Magnetization 99 The st
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12.4 Comparing Spin Dynamics 101 tw
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12.4.1 Weak Coupling 0 < α < 0.5 1
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12.4.2 Toulouse Limit α = 0.5 105
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12.4.3 Intermediate Coupling 0.5 <
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12.4.3 Intermediate Coupling 0.5 <
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12.4.5 Entanglement Entropy 111 by
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12.4.5 Entanglement Entropy 113 by
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12.5 Summary 115 12.5 Summary We ha
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118 CHAPTER 13. Two Spins in a Boso
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146 CHAPTER 14. Decoherence in an A
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Conclusions A short summary of the
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Bibliography [1] D. Loss and D. P.
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BIBLIOGRAPHY 165 [24] T. Fujisawa,
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BIBLIOGRAPHY 167 [47] W. Wernsdorfe
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BIBLIOGRAPHY 169 [69] W. Metzner an
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BIBLIOGRAPHY 171 [92] A. J. Daley,
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BIBLIOGRAPHY 173 [116] J. Kästel,
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BIBLIOGRAPHY 175 [140] A. J. Legget
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BIBLIOGRAPHY 177 [163] M. Vojta, R.
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BIBLIOGRAPHY 179 [186] R. Härtle,
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Appendices 181
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184 APPENDIX A. Details of the Mapp
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186 APPENDIX A. Details of the Mapp
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188 APPENDIX B. Detailed Derivation
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196 APPENDIX C. Details of Bosoniza
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Appendix D Derivation of Scaling La
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D.2 Scaling Analysis: Deriving Mean
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208 APPENDIX E. Mapping the Two-Spi
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Miscellaneous 211
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Curriculum Vitae Name David Roosen
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Deutsche Zusammenfassung Die fortsc
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Ferromagnetisches Kondo Modell Am A
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Gegensatz zu dem Fall, bei dem eine
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