Transition metal compounds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2014
|
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | xii, 485 Seiten Illustrationen, Diagramme |
| ISBN: | 9781107020177 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153237417230336 |
|---|---|
| adam_text | TRANSITION METAL COMPOUNDS
Describing all aspects of the physics of transition metal compounds, this book provides a
comprehensive overview of this unique and diverse class of solids.
Beginning with the basic concepts of the physics of strongly correlated electron systems,
the structure of transition metal ions, and the behavior of transition metal ions in crystals,
it goes on to cover more advanced topics such as metal-insulator transitions, orbital order-
ing, and novel phenomena such as multiferroics, systems with oxygen holes, and high֊rc
superconductivity.
Each chapter concludes with a summary of key facts and concepts, presenting all the
most important information in a consistent and concise manner. Set within a modem con-
ceptual framework, and providing a complete treatment of the fundamental factors and
mechanisms that determine the properties of transition metal compounds, this is an invalu-
able resource for graduate students, researchers, and industrial practitioners in solid-state
physics and chemistry, materials science, and inorganic chemistry.
daniel I. KHOMSKii is a Professor at the University of Köln, Germany, where his
research interests focus on metal-insulator transitions, magnetism, orbital ordering, and
superconductivity.
Contents
ft
Introduction page ix
1 Localized and itinerant electrons in solids 1
LI Itinerant electrons, band theory 1
1.2 Hubbard model and Mott insulators 5
1.3 Magnetism of Mott insulators 11
1.4 Interplay of electronic motion and magnetism in Mott insulators 14
1.5 Doped Mott insulators 19
S. 1 Summary of Chapter I 22
2 Isolated transition metal ions 25
2.1 Elements of atomic physics 25
2.2 Hund’s rules 28
2.3 Spin-orbit interaction 31
S.2 Summary of Chapter 2 35
3 Transition metal ions in crystals 37
3.1 Crystal field splitting 37
3.2 Jahn-Teiler effect for isolated transition metal ions 57
3.3 High-spin vs low-spin states 65
3.4 Role of spin-orbit coupling 71
3.5 Some general principles of the formation of typical crystal structures
of transition metal compounds 78
S.3 Summary of Chapter 3 91
4 Mott-Hubbard vs charge^transfer insulators 94
4.1 Charge-transfer insulators 94
4.2 Exchange interaction in charge-transfer insulators 103
4.3 Systems with small or negative charge-transfer gap 105
4.4 Zhang-Rice singlets 108
5.4 Summary of Chapter 4 118
v
vi Contents
5 Exchange interaction and magnetic structures 120
5.1 Superexchange in insulators and Goodenough-Kanamori-Anderson rules 120
5.2 Double exchange 136
5.3 Role of spin-orbit interaction: magnetic anisotropy, magnetostriction,
and weak ferromagnetism 142
5.4 Systems with unquenched orbital moments 156
5.5 Singlet magnetism 159
5.6 Magnetic ordering in some typical situations 163
5.7 Frustrated magnets 173
5.8 Different magnetic textures 191
5.9 Spin-state transitions 194
S.5 Summary of Chapter 5 198
6 Cooperative Jahn-Teller effect and orbital ordering 204
6.1 Cooperative Jahn-Teller effect and orbital ordering in
eg systems 205
6.2 Reduction of dimensionality due to orbital ordering 221
6.3 Orbitals and frustration 225
6.4 Orbital excitations 227
6.5 Orbital effects for ^-electrons 228
6.6 Quantum effects in orbitals 231
5.6 Summary of Chapter 6 234
7 Charge ordering in transition metal compounds 238
7.1 Charge ordering in half-doped systems 240
7.2 Charge ordering away from half-filling 244
7.3 Charge ordering vs charge density waves 253
7.4 Charge ordering in frustrated systems: Fe304 and similar 255
7.5 Spontaneous charge disproportionation 259
5.7 Summary of Chapter 7 265
8 Ferroelectrics, magnetoelectrics, and multiferroics 269
8.1 Different types of ferroelectrics 269
8.2 Magnetoelectric effect 282
8.3 Multiferroics: materials with a unique combination of magnetic and
electric properties 288
8.4 “Multiferroic~like” effects in other situations 303
5.8 Summary of Chapter 8 307 9
9 Doping of correlated systems; correlated metals 310
9.1 Nondegenerate Hubbard model at arbitrary band filling 311
9.2 Representative doped transition metal oxides 319
9.3 Doped Mott insulators: ordinary metals? 331
Contents
vii
9.4 Magnetic properties of doped strongly correlated systems 338
9.5 Other specific phenomena in doped strongly correlated systems 341
9.6 Superconductivity in strongly correlated systems 350
9.7 Phase separation and inhomogeneous states 357
9.8 Films, surfaces, and interfaces 363
5.9 Summary of Chapter 9 371
10 Metal-insulator transitions 378
10.1 Different types of metal-insulator transitions 378
10.2 Examples of metal-insulator transitions in systems with correlated
electrons 384
10.3 Theoretical description of Mott transitions 404
10.4 Insulator-metal transitions for different electronic configurations 408
10.5 Insulator-metal transitions in Mott-Hubbard and charge-transfer
insulators 415
10.6 Formation of molecular clusters and “partial” Mott transitions 420
10.7 Mott transition: a normal phase transition? 426
5.10 Summary of Chapter 10 428
11 Kondo effect, mixed valence, and heavy fermions 433
11.1 Basic features of /-electron systems 433
11.2 Localized magnetic moments in metals 436
11.3 Kondo effect 438
11.4 Heavy fermions and mixed valence 442
S. 11 Summary of Chapter 11 448
Appendix A Some historical notes 452
A. 1 Mott insulators and Mott transitions 452
A.2 Jahn-Teller effect 456
A.3 Peierls transition 456
Appendix B A layman’s guide to second quantization 459
Appendix C Phase transitions and free energy expansion: Landau theory
in a nutshell 462
C.l General theory 462
C.2 Dealing with the Landau free energy functional 464
C.3 Some examples 466
References 469
Index 481
|
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| indexdate | 2024-07-10T01:23:25Z |
| institution | BVB |
| isbn | 9781107020177 |
| language | English |
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| physical | xii, 485 Seiten Illustrationen, Diagramme |
| publishDate | 2014 |
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| spelling | Khomskii, Daniel 1938- Verfasser (DE-588)142343153 aut Transition metal compounds Daniel I. Khomskii Cambridge Cambridge University Press 2014 xii, 485 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Transition metal compounds Stoffeigenschaft (DE-588)4192147-1 gnd rswk-swf Übergangsmetallverbindungen (DE-588)4061385-9 gnd rswk-swf Übergangsmetallverbindungen (DE-588)4061385-9 s Stoffeigenschaft (DE-588)4192147-1 s DE-604 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027934190&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027934190&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Khomskii, Daniel 1938- Transition metal compounds Transition metal compounds Stoffeigenschaft (DE-588)4192147-1 gnd Übergangsmetallverbindungen (DE-588)4061385-9 gnd |
| subject_GND | (DE-588)4192147-1 (DE-588)4061385-9 |
| title | Transition metal compounds |
| title_auth | Transition metal compounds |
| title_exact_search | Transition metal compounds |
| title_full | Transition metal compounds Daniel I. Khomskii |
| title_fullStr | Transition metal compounds Daniel I. Khomskii |
| title_full_unstemmed | Transition metal compounds Daniel I. Khomskii |
| title_short | Transition metal compounds |
| title_sort | transition metal compounds |
| topic | Transition metal compounds Stoffeigenschaft (DE-588)4192147-1 gnd Übergangsmetallverbindungen (DE-588)4061385-9 gnd |
| topic_facet | Transition metal compounds Stoffeigenschaft Übergangsmetallverbindungen |
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