Hubbard operators in the theory of strongly correlated electrons:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 241 S. |
| ISBN: | 1860944302 |
Internformat
MARC
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| 100 | 1 | |a Ovčinnikov, Sergej G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hubbard operators in the theory of strongly correlated electrons |c S. G. Ovchinnikov ; V. V. Val'kov |
| 264 | 1 | |a London |b Imperial College Press |c 2004 | |
| 300 | |a XII, 241 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Electron configuration - Mathematical models | |
| 650 | 4 | |a Hubbard model | |
| 650 | 0 | 7 | |a Hubbard-Modell |0 (DE-588)4160713-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elektronenkorrelation |0 (DE-588)4210527-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hubbard-Modell |0 (DE-588)4160713-2 |D s |
| 689 | 0 | 1 | |a Elektronenkorrelation |0 (DE-588)4210527-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Val'kov, V. V. |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012930585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-012930585 | ||
Datensatz im Suchindex
| _version_ | 1804132956134965248 |
|---|---|
| adam_text | Contents
Preface,
PART
1
Chapter
1.
Hubbard Model
ан
a Simplest Model of Strong
Electron Correlations
1
1.1
Hamiltonian of the Hubbard Model and its Symmetry
... 1
1.2
Time Inversion
......................... 3
1.3
Electron Hole Symmetry
.................... 3
1.4
Pseudospin Symmetry for Half-Filled Case
.......... 4
1.5
The Band Limit
........................ 5
1.6
The Atomic Limit. Hubbard
1
Solution
........... 6
1.7
The Hubbard Model in One and Infinite Dimension Cases
. 9
1.8
The r-J Model
......................... 12
1.9
The Hubbard Model in
Х
-Operator
Representation
..... 14
1.10
Study of the Electronic Structure by the Angle Resolved
Photoemission Spectroscopy.................. 23
Chapter
2.
Mult ¡electron Models in -Y-Operator Representation
27
2.1
The
Isotropie Heisenberg
Model
................ 27
2.2
The
Heisenberg
Model with Single-Ion Anisotropy
..... 29
2.3
The Atomic Representation for s-d(f) Exchange Model
. . 30
2.4
The Periodic Anderson Model
................. 33
2.5
The Multiband Model of Transition Metal Oxides
...... 37
vi Hubbard
Operators
in
the Theory of Strongly Correlated Electrons
Chapter
3.
General Approach to the Quasiparticle
Description of Strongly Correlated Systems
41
3.1
The Definition of Fermi- and
Bose
-Туре
Quasiparticles
... 41
3.2
The Exact
Latraceli
Local Green s Function
......... 44
3.3
The Generalized Tight-Binding Method for Quasiparticle
Band Structure Calculations
.................. 46
3.4
The Concentration Dependence of the Quasiparticle
Band Structure
......................... 52
3.5
Ab Initio
Approach to the Quasiparticle Band
Structure of Strongly Correlated Electron Systems
..... 56
3.6
The Generalized Tight-Binding Method and the Exact
Lehmann
Representation
.................... 59
Chapter
4.
Unitary Transformation Method in Atomic
Representation
63
4.1
Unitary Operators and Transformation Laws in Atomic
Representation
......................... 63
4.2
Diagonalization of Two-Level and Quasi-Two-Level Forms
. 67
4.3
The Diagonalization of Three-Level Forms
.......... 69
4.4
The Diagonalization of the
N
Level Hamiltonian
...... 76
Chapter
5.
Diagram Technique in the X-Operators
Representation
77
5.1
Green s Function in the X-Operators Representation
.... 78
5.2
Wick s Theorem for the Hubbard Operators
......... 82
5.3
Averaging the Diagonal
Х
-Operators
.............
86
5.4
External and Internal Operators: Simplest Vertexes
..... 90
5.5
A Hierarchy of Interaction Lines and a
Topological Continuity Principles
............... 97
5.6
Calculation of the Sign for an Arbitrary Diagram
...... 99
5.7
Diagrams with Ovals
...................... 104
5.8
General Rules for Arbitrary Order Diagram
......... 112
5.9
The Larkin Equation
...................... 115
5.10
The Self-Energy and the Strength Operator
......... 123
5.11
Low Temperature Properties of
Anisotropie Ferromagnet . . 129
5.12
Effect of the Three-Site Correlated Hopping on the
Magnetic Mechanism of dx2^y2 -Superconductivity
in the t-J* Model
....................... 138
Contents
vii
PART
2
Chapter
6.
Spectral Properties of
Anisotropie
Metallic
Ferromagnets
149
6.1
The Hamiltonian of the
Anisotropie
s—
ƒ
Magnet in
Atomic Representation
..................... 150
6.2
The Green Function and Dispersion Equation
........ 154
6.3
The Ferromagnetic Metal with Single Axis
Anisotropy
........................... 158
6.4
The Metallic Ferromagnets with the
SA
of
Cubic Symmetry
........................ 166
Chapter
7.
Peculiarities of the
de Haas-van Alphen
Effect
in Strongly Correlated Systems with Magnetic
Polaron States
175
7.1
The Hamiltonian of a Strong Correlated Narrow Band
Antiferromagnet
........................ 177
7.2
The Hamiltonian in the Non-colinear Phase: Unitary
Transformation
......................... 178
7.3
Construction of the Atomic Representation Basis
...... 179
7.4
The Hamiltonian of the Narrow Band
Antiferromagnet in the Non-colinear Phase in
Atomic Representation
..................... 183
7.5
The Greeks Functions and Dispersion Relations
...... 184
7.6
The Spectrum of Holes Near the Spin-flip Transition
.... 187
7.7
The Peculiarities of the
de Haas-van Alphen
Effect
in Antiferromagnetic Semimetal with Magnetic
Polaron States
......................... 188
7.8
The Temperature Quantum Oscillations Caused
by Non-Fermi Liquid Effects
.................. 191
Chapter
8.
The Electronic Structure of Copper Oxides
in the
Multiorbital
p-d Model
195
8.1
The Exact Diagonalization of the CuO4 Cluster
....... 196
8.2
The Construction of the Wannier Functions and
Jf-Representation of the Multiband p-d Model
....... 200
viii
Hubbard Operators
in the Theory of Strongly Correlated Electrons
8.3
The Evolution of the Band Structure and
ARPES
Data
with Doping from the Undoped Antiferromagnetic
Insulator to Optimal Doped and Overdoped Metal
..... 210
8.4
Comparison of the Electronic Structure and
Superconductivity of Cuprates and Ruthenates
....... 218
References
231
Index
239
|
| any_adam_object | 1 |
| author | Ovčinnikov, Sergej G. |
| author_facet | Ovčinnikov, Sergej G. |
| author_role | aut |
| author_sort | Ovčinnikov, Sergej G. |
| author_variant | s g o sg sgo |
| building | Verbundindex |
| bvnumber | BV019593925 |
| classification_rvk | SK 950 UP 3600 |
| ctrlnum | (OCoLC)61395435 (DE-599)BVBBV019593925 |
| dewey-full | 530.411 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.411 |
| dewey-search | 530.411 |
| dewey-sort | 3530.411 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV019593925 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:01:03Z |
| institution | BVB |
| isbn | 1860944302 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012930585 |
| oclc_num | 61395435 |
| open_access_boolean | |
| owner | DE-384 DE-355 DE-BY-UBR DE-11 DE-188 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-11 DE-188 |
| physical | XII, 241 S. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Ovčinnikov, Sergej G. Verfasser aut Hubbard operators in the theory of strongly correlated electrons S. G. Ovchinnikov ; V. V. Val'kov London Imperial College Press 2004 XII, 241 S. txt rdacontent n rdamedia nc rdacarrier Electron configuration - Mathematical models Hubbard model Hubbard-Modell (DE-588)4160713-2 gnd rswk-swf Elektronenkorrelation (DE-588)4210527-4 gnd rswk-swf Hubbard-Modell (DE-588)4160713-2 s Elektronenkorrelation (DE-588)4210527-4 s DE-604 Val'kov, V. V. Sonstige oth Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012930585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ovčinnikov, Sergej G. Hubbard operators in the theory of strongly correlated electrons Electron configuration - Mathematical models Hubbard model Hubbard-Modell (DE-588)4160713-2 gnd Elektronenkorrelation (DE-588)4210527-4 gnd |
| subject_GND | (DE-588)4160713-2 (DE-588)4210527-4 |
| title | Hubbard operators in the theory of strongly correlated electrons |
| title_auth | Hubbard operators in the theory of strongly correlated electrons |
| title_exact_search | Hubbard operators in the theory of strongly correlated electrons |
| title_full | Hubbard operators in the theory of strongly correlated electrons S. G. Ovchinnikov ; V. V. Val'kov |
| title_fullStr | Hubbard operators in the theory of strongly correlated electrons S. G. Ovchinnikov ; V. V. Val'kov |
| title_full_unstemmed | Hubbard operators in the theory of strongly correlated electrons S. G. Ovchinnikov ; V. V. Val'kov |
| title_short | Hubbard operators in the theory of strongly correlated electrons |
| title_sort | hubbard operators in the theory of strongly correlated electrons |
| topic | Electron configuration - Mathematical models Hubbard model Hubbard-Modell (DE-588)4160713-2 gnd Elektronenkorrelation (DE-588)4210527-4 gnd |
| topic_facet | Electron configuration - Mathematical models Hubbard model Hubbard-Modell Elektronenkorrelation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012930585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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