Exchange and relaxation in spin chains:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Göttingen
Cuvillier
2007
|
| Ausgabe: | 1. Aufl. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 143 S. graph. Darst. |
| ISBN: | 9783867273206 3867273200 |
Internformat
MARC
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| 100 | 1 | |a Zacharov, Dmitry |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Exchange and relaxation in spin chains |c Dmitry Zakharov |
| 250 | |a 1. Aufl. | ||
| 264 | 1 | |a Göttingen |b Cuvillier |c 2007 | |
| 300 | |a VI, 143 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Augsburg, Univ., Diss., 2007 | ||
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Datensatz im Suchindex
| _version_ | 1804137123760046080 |
|---|---|
| adam_text | Contents
1.
Introduction
1
2.
Microscopic
Theory of Superexchange
3
2.1.
Exchange Mechanisms
............................. 4
2.1.1.
Direct Exchange Interaction
...................... 4
2.1.2.
Indirect Exchange Mechanisms
.................... 6
2.2. Isotropie
Exchange Interaction
........................ 8
2.2.1.
Classical Concept: Antiferromagnetic Spin Ordering
........ 8
2.2.2.
Ferromagnetic Superexchange
..................... 9
2.2.3.
Quantum Interference of Superexchange Interactions
........ 10
2.2.4.
Exchange at Small Charge-Transfer Energy
............. 12
2.2.5.
Double Exchange: Extreme Case of Free Charge Transfer
..... 14
2.3. Anisotropie
Exchange Interaction
....................... 15
2.3.1.
Antisymmetric Part of
Anisotropie
Exchange
............ 15
2.3.2.
Symmetric
Anisotropie
Exchange Interaction
............ 18
3.
Physics of Low-Dimensional Systems
23
3.1.
Spin Chains
................................... 23
3.1.1.
Spin-Peierls Transition
......................... 24
3.1.2.
Magnetic and Thermal Properties
.................. 26
3.2.
Spin Ladders
.................................. 28
4.
Electron Spin Resonance Spectroscopy
31
4.1.
Resonance Effect
................................ 31
4.1.1.
Zeeman
Effect
............................. 31
4.1.2.
Biodi
Equations
............................ 33
4.2.
Measured Quantities
.............................. 34
4.2.1.
Resonance Field
............................ 34
4.2.2.
Linewidth and Lineshape
....................... 35
4.2.3.
ESR Intensity
.............................. 36
4.3.
Experimental Setup
.............................. 37
4.4.
Spin Relaxation Mechanisms
......................... 39
4.4.1.
The
Kubo-
Tornita
Formula
...................... 39
Contents
4.4.2. Main
Sources
of the Line Broadening
................. 40
4.5.
ESR in Low-Dimensional Spin Systems
.................... 41
4.5.1.
Spin Diffusion at High Temperatures
................. 42
4.5.2.
Low-Temperature Field-Theory Approach
.............. 42
4.5.3.
Crossover Temperature Regime
.................... 44
4.6.
Other Experimental Techniques
........................ 46
5.
Symmetric Ring Exchange in a -NaVjOs
49
5.1.
Sample Characterization
............................ 49
5.1.1.
Crystal Structure
............................ 49
5.1.2.
Charge Ordering Phenomenon
.................... 51
5.1.3.
Magnetic and Thermodynamic Properties
.............. 53
5.2.
ESR in a -NaVjOs
............................... 54
5.2.1.
Resonance Spectra
........................... 54
5.2.2.
Analysis of the
g
Tensor
........................ 55
5.2.3.
ESR Line-width
............................. 57
5.3.
Analysis of Relaxation Mechanisms
...................... 58
5.3.1.
Exchange Pathways
.......................... 60
5.3.2.
Symmetric
Anisotropie
Exchange in a -NaV ^Os
........... 61
5.4.
Summary
.................................... 65
6.
Superexchange Competition in
ТЮСІ
67
6.1.
Sample Characterization
............................ 67
6.1.1.
Crystal Structure
............................ 67
6.1.2.
Magnetic and Thermal Properties
.................. 69
6.1.3.
Fluctuations in the High-Temperature Phase
............ 71
6.2.
ESR in
ТЮС1
.................................. 71
6.2.1.
Resonance Spectra and Absorption Intensity
............ 73
6.2.2.
ý·-
Factor and ESR Linewidth
..................... 73
6.3.
Crystal-Field Splittings of Ti3+
........................ 76
6.4.
Spin Relaxation in TiOCl
........................... 78
6.4.1.
Symmetric
Anisotropie
Exchange
................... 79
6.4.2.
Dzyaloshinsky-Moriya Interaction
................... 82
6.4.3.
Competition of Relaxation Mechanisms
............... 84
6.5.
Summary
.................................... 88
7.
Multi-Spin Chains in
r/-Na9/7V2O5
89
7.1.
Crystal Structure
................................ 89
7.2.
ESR in »/-Nag/7V2O5
.............................. 90
7.2.1.
Experimental Survey
.......................... 90
7.2.2.
Splittings of Crystal-Field Levels
................... 93
Contenta
7.2.3.
Exchange Interactions
.........................
7.2.4.
Analysis of the Linewidth
.......................
96
7.3.
Charge Fluctuations
.....................■ ■ ■ ■ · · · · ■
97
7.3.1.
Cross-Relaxation via a Mixed Valence Fragment V4- + -V
· ■ 97
7.3.2.
Changes in Dielectric Conductivity
..................
1Q1
7.3.3.
Specific Heat Measurements
......................
10~
7.4.
Exotic Low-Temperature Ground State of
î/-Na9/7V2O5
..........
ЮЗ
7.5.
Summary
....................................
108
8.
Conclusions and Perspectives
^1
Appendix
A. Canonical-Transformations Perturbation Method
B. Angular Overlap Model and the Program Package CAMMAG
C. Kubo-Tomita
Approach and Method of Moments
C.I. Second Moment of Dzyaloshinsky-Moriya Interaction
. . . .
C.2. Second Moment of Symmetric
Anisotropie
Exchange
. . . .
113
119
121
. 121
. 122
Bibliography
List of Publications
Acknowledgements
Curriculum
Vitae
123
139
141
143
|
| adam_txt |
Contents
1.
Introduction
1
2.
Microscopic
Theory of Superexchange
3
2.1.
Exchange Mechanisms
. 4
2.1.1.
Direct Exchange Interaction
. 4
2.1.2.
Indirect Exchange Mechanisms
. 6
2.2. Isotropie
Exchange Interaction
. 8
2.2.1.
Classical Concept: Antiferromagnetic Spin Ordering
. 8
2.2.2.
Ferromagnetic Superexchange
. 9
2.2.3.
Quantum Interference of Superexchange Interactions
. 10
2.2.4.
Exchange at Small Charge-Transfer Energy
. 12
2.2.5.
Double Exchange: Extreme Case of Free Charge Transfer
. 14
2.3. Anisotropie
Exchange Interaction
. 15
2.3.1.
Antisymmetric Part of
Anisotropie
Exchange
. 15
2.3.2.
Symmetric
Anisotropie
Exchange Interaction
. 18
3.
Physics of Low-Dimensional Systems
23
3.1.
Spin Chains
. 23
3.1.1.
Spin-Peierls Transition
. 24
3.1.2.
Magnetic and Thermal Properties
. 26
3.2.
Spin Ladders
. 28
4.
Electron Spin Resonance Spectroscopy
31
4.1.
Resonance Effect
. 31
4.1.1.
Zeeman
Effect
. 31
4.1.2.
Biodi
Equations
. 33
4.2.
Measured Quantities
. 34
4.2.1.
Resonance Field
. 34
4.2.2.
Linewidth and Lineshape
. 35
4.2.3.
ESR Intensity
. 36
4.3.
Experimental Setup
. 37
4.4.
Spin Relaxation Mechanisms
. 39
4.4.1.
The
Kubo-
Tornita
Formula
. 39
Contents
4.4.2. Main
Sources
of the Line Broadening
. 40
4.5.
ESR in Low-Dimensional Spin Systems
. 41
4.5.1.
Spin Diffusion at High Temperatures
. 42
4.5.2.
Low-Temperature Field-Theory Approach
. 42
4.5.3.
Crossover Temperature Regime
. 44
4.6.
Other Experimental Techniques
. 46
5.
Symmetric Ring Exchange in a'-NaVjOs
49
5.1.
Sample Characterization
. 49
5.1.1.
Crystal Structure
. 49
5.1.2.
Charge Ordering Phenomenon
. 51
5.1.3.
Magnetic and Thermodynamic Properties
. 53
5.2.
ESR in a'-NaVjOs
. 54
5.2.1.
Resonance Spectra
. 54
5.2.2.
Analysis of the
g
Tensor
. 55
5.2.3.
ESR Line-width
. 57
5.3.
Analysis of Relaxation Mechanisms
. 58
5.3.1.
Exchange Pathways
. 60
5.3.2.
Symmetric
Anisotropie
Exchange in a'-NaV'^Os
. 61
5.4.
Summary
. 65
6.
Superexchange Competition in
ТЮСІ
67
6.1.
Sample Characterization
. 67
6.1.1.
Crystal Structure
. 67
6.1.2.
Magnetic and Thermal Properties
. 69
6.1.3.
Fluctuations in the High-Temperature Phase
. 71
6.2.
ESR in
ТЮС1
. 71
6.2.1.
Resonance Spectra and Absorption Intensity
. 73
6.2.2.
ý·-
Factor and ESR Linewidth
. 73
6.3.
Crystal-Field Splittings of Ti3+
. 76
6.4.
Spin Relaxation in TiOCl
. 78
6.4.1.
Symmetric
Anisotropie
Exchange
. 79
6.4.2.
Dzyaloshinsky-Moriya Interaction
. 82
6.4.3.
Competition of Relaxation Mechanisms
. 84
6.5.
Summary
. 88
7.
Multi-Spin Chains in
r/-Na9/7V2O5
89
7.1.
Crystal Structure
. 89
7.2.
ESR in »/-Nag/7V2O5
. 90
7.2.1.
Experimental Survey
. 90
7.2.2.
Splittings of Crystal-Field Levels
. 93
Contenta
7.2.3.
Exchange Interactions
.
7.2.4.
Analysis of the Linewidth
.
96
7.3.
Charge Fluctuations
.■ ■ ■ ■ · · · · ■
97
7.3.1.
Cross-Relaxation via a Mixed Valence Fragment V4-' + -V'
' · ■ 97
7.3.2.
Changes in Dielectric Conductivity
.
1Q1
7.3.3.
Specific Heat Measurements
.
10~
7.4.
Exotic Low-Temperature Ground State of
î/-Na9/7V2O5
.
ЮЗ
7.5.
Summary
.
108
8.
Conclusions and Perspectives
^1
Appendix
A. Canonical-Transformations Perturbation Method
B. Angular Overlap Model and the Program Package CAMMAG
C. Kubo-Tomita
Approach and Method of Moments
C.I. Second Moment of Dzyaloshinsky-Moriya Interaction
. . . .
C.2. Second Moment of Symmetric
Anisotropie
Exchange
. . . .
113
119
121
. 121
. 122
Bibliography
List of Publications
Acknowledgements
Curriculum
Vitae
123
139
141
143 |
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| dewey-ones | 530 - Physics |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV022866998 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:45:39Z |
| indexdate | 2024-07-09T21:07:18Z |
| institution | BVB |
| isbn | 9783867273206 3867273200 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016072157 |
| oclc_num | 255795742 |
| open_access_boolean | |
| owner | DE-384 DE-188 |
| owner_facet | DE-384 DE-188 |
| physical | VI, 143 S. graph. Darst. |
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| publisher | Cuvillier |
| record_format | marc |
| spelling | Zacharov, Dmitry Verfasser aut Exchange and relaxation in spin chains Dmitry Zakharov 1. Aufl. Göttingen Cuvillier 2007 VI, 143 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Augsburg, Univ., Diss., 2007 Elektronenspinresonanzspektroskopie (DE-588)4151888-3 gnd rswk-swf Spinkette (DE-588)4263231-6 gnd rswk-swf Natriumvanadate (DE-588)4583304-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Natriumvanadate (DE-588)4583304-7 s Spinkette (DE-588)4263231-6 s Elektronenspinresonanzspektroskopie (DE-588)4151888-3 s DE-604 Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016072157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zacharov, Dmitry Exchange and relaxation in spin chains Elektronenspinresonanzspektroskopie (DE-588)4151888-3 gnd Spinkette (DE-588)4263231-6 gnd Natriumvanadate (DE-588)4583304-7 gnd |
| subject_GND | (DE-588)4151888-3 (DE-588)4263231-6 (DE-588)4583304-7 (DE-588)4113937-9 |
| title | Exchange and relaxation in spin chains |
| title_auth | Exchange and relaxation in spin chains |
| title_exact_search | Exchange and relaxation in spin chains |
| title_exact_search_txtP | Exchange and relaxation in spin chains |
| title_full | Exchange and relaxation in spin chains Dmitry Zakharov |
| title_fullStr | Exchange and relaxation in spin chains Dmitry Zakharov |
| title_full_unstemmed | Exchange and relaxation in spin chains Dmitry Zakharov |
| title_short | Exchange and relaxation in spin chains |
| title_sort | exchange and relaxation in spin chains |
| topic | Elektronenspinresonanzspektroskopie (DE-588)4151888-3 gnd Spinkette (DE-588)4263231-6 gnd Natriumvanadate (DE-588)4583304-7 gnd |
| topic_facet | Elektronenspinresonanzspektroskopie Spinkette Natriumvanadate Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016072157&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zacharovdmitry exchangeandrelaxationinspinchains |