Dynamics of a quantum spin liquid:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2014
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 143 S. Ill., graph. Darst. |
Internformat
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Datensatz im Suchindex
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| adam_text | CONTENTS
KURZFASSUNG III
ABSTRACT V
1. INTRODUCTION 1
1.1. MOTIVATION 1
1.2. FRUSTRATED MAGNETISM AND QUANTUM SPIN LIQUIDS 4
1.2.1. FRUSTRATED MAGNETISM 5
1.2.2. QUANTUM SPIN LIQUIDS 9
1.3. SIGNATURES AND DYNAMICS OF UNCONVENTIONAL MAGNETS 14
1.3.1. SPIN WAVES IN HIGH TEMPERATURE SUPERCONDUCTORS 15
1.3.2. SPINON CONTINUUM IN SPIN CHAINS 17
1.3.3. NEUTRON SCATTERING RESULTS FOR CANDIDATE SPIN LIQUIDS 18
1.4. THESIS OUTLINE 19
2. KITAEV S HONEYCOMB LATTICE MODEL 21
2.1. EXACT SOLUTION AND PROJECTION 21
2.1.1. RELATION BETWEEN HAMILTONIANS AND BOGOLIUBOV TRANSFORMATIONS 26
2.2. GROUND STATE FLUX SECTOR 28
2.3. EXPERIMENTAL REALIZATION 30
3. DYNAMIC SPIN CORRELATIONS - MAPPING TO A QUANTUM QUENCH 35
3.1. EXACT MAPPING AND SELECTION RULES 36
3.1.1. MAPPING TO A QUENCH 36
3.1.2. SUM RULES AND STATIC CORRELATIONS 39
3.2. FEW-PARTICLE RESPONSE AND DYNAMICAL PHASE DIAGRAM 40
3.2.1. ZERO-PARTICLE CONTRIBUTION - 5-FUNCTION
AT THE FLUX GAP .... 41
3.2.2. SINGLE- AND TWO-PARTICLE CONTRIBUTIONS 44
3.3. EXACT PFAFFIAN APPROACH 44
3.4. EXACT X-RAY EDGE APPROACH 46
3.4.1. X-RAY EDGE PROBLEM 48
3.4.2. SINGULAR INTEGRAL EQUATIONS 50
3.4.3. ADIABATIC APPROXIMATION 51
HTTP://D-NB.INFO/1061215881
VIII
CONTENTS
4. RESULTS FOR THE STRUCTURE FACTOR 55
4.1. GAPLESS QUANTUM SPIN LIQUID PHASE 56
4.2. GAPPED QUANTUM SPIN LIQUID PHASE 60
5. NON-ABELIAN PHASE AND THE EFFECT OF DISORDER 63
5.1. EXTENDED KITAEV MODEL AND ITS EXACT SOLUTION 63
5.1.1. FLUX FREE SECTOR 65
5.2. ROLE OF FLUXES AND TRANSITION FROM ABELIAN TO NON-ABELIAN PHASE ...
65
5.2.1. TWO NEAREST NEIGHBOR FLUXES 66
5.2.2. CONTINOUS FLUX TRANSPORT IN THE NON-ABELIAN PHASE 67
5.2.3. QUANTUM PHASE TRANSITION IN THE EXTENDED KITAEV MODEL ... 69
5.3. SPIN STRUCTURE FACTOR 70
5.3.1. FEW-PARTICLE CONTRIBUTIONS 70
5.3.2. EXACT PFAFFIAN APPROACH 72
5.3.3. RESULTS - SIGNATURES OF LOCALIZED MAJORANA BOUND STATES .... 73
5.4. EFFECT OF DISORDER 77
6. RAMAN SCATTERING 81
6.1. LOUDON-FLEURY RAMAN VERTEX 82
6.1.1. KITAEV CONTRIBUTION 84
6.1.2. HEISENBERG CONTRIBUTION 85
6.1.3. FEW-PARTICLE RESPONSE 88
6.2. RESULTS 89
7. CONCLUSION AND OUTLOOK 91
7.1. EXPERIMENTAL PROSPECT AND MATERIALS 91
7.2. SIGNATURES OF FRACTIONALIZATION 92
7.3. METHODOLOGICAL PROGRESS AND CONNECTION TO NON-EQUILIBRIUM PHYSICS .
93
7.4. OPEN QUESTIONS AND OUTLOOK 94
A. PFAFFIANS FROM PATH INTEGRALS 97
A.L. PFAFFIANS - DEFINITION AND PROPERTIES 97
A.2. PATH INTEGRALS 98
A.2.1. DETERMINANT 101
A.2.2. GENERATING FUNCTIONAL 102
A.2.3. MATRIX ELEMENTS , * * * 103
A.3. FINAL RESULT 105
A.4. PFAFFIANS WITHOUT PATH INTEGRALS 107
A.4.1. SINGLE PARTICLE GREENS FUNCTION 107
A.4.2. TWO PARTICLE GREENS FUNCTION 108
A.4.3. ARBITRARY GREENS FUNCTION 110
CONTENTS IX
B. X-RAY EDGE AND SINGULAR INTEGRAL EQUATIONS 111
B.L. MAPPING WITHOUT ANOMALOUS TERMS ILL
B.2. DYSON EQUATION 112
B.2.1. CLOSED LOOPS 113
B.2.2. DISCRETIZATION IN REAL TIME 114
B.3. DYSON EQUATION IN FREQUENCY REPRESENTATION - MUSKHELISHVILI METHOD
. 115
B.3.1. NEGATIVE TIME GREENS FUNCTION 118
B.3.2. REAL TIME RESULTS, DECAYING GF AND FINITE LOOPS 119
C. EXACT DIAGONALIZATION OF FOUR DIMERS 121
D. CALCULATION OF MATRIX ELEMENTS 123
ACKNOWLEDGEMENTS 127
PUBLICATIONS 129
BIBLIOGRAPHY 133
VERSICHERUNG
145
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| spelling | Knolle, Johannes 1983- Verfasser (DE-588)1058505076 aut Dynamics of a quantum spin liquid vorgelegt von Johannes Knolle 2014 IX, 143 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dresden, Techn. Univ., Diss., 2014 Quantenflüssigkeit (DE-588)4176598-9 gnd rswk-swf Quantenspinsystem (DE-588)4609091-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenspinsystem (DE-588)4609091-5 s Quantenflüssigkeit (DE-588)4176598-9 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027796903&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
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| title | Dynamics of a quantum spin liquid |
| title_auth | Dynamics of a quantum spin liquid |
| title_exact_search | Dynamics of a quantum spin liquid |
| title_full | Dynamics of a quantum spin liquid vorgelegt von Johannes Knolle |
| title_fullStr | Dynamics of a quantum spin liquid vorgelegt von Johannes Knolle |
| title_full_unstemmed | Dynamics of a quantum spin liquid vorgelegt von Johannes Knolle |
| title_short | Dynamics of a quantum spin liquid |
| title_sort | dynamics of a quantum spin liquid |
| topic | Quantenflüssigkeit (DE-588)4176598-9 gnd Quantenspinsystem (DE-588)4609091-5 gnd |
| topic_facet | Quantenflüssigkeit Quantenspinsystem Hochschulschrift |
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