New computational techniques for strongly correlated electron systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos-Verl.
2003
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zsfassung in dt. Sprache. - Zugl.: Würzburg, Univ., Diss., 2003 |
| Beschreibung: | VIII, 206 S. graph. Darst. : 21 cm |
| ISBN: | 3832502289 |
Internformat
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| 245 | 1 | 0 | |a New computational techniques for strongly correlated electron systems |c vorgelegt von Ansgar Dorneich |
| 264 | 1 | |a Berlin |b Logos-Verl. |c 2003 | |
| 300 | |a VIII, 206 S. |b graph. Darst. : 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Zsfassung in dt. Sprache. - Zugl.: Würzburg, Univ., Diss., 2003 | ||
| 502 | |a Würzburg, Univ., Diss., 2002 | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010387833 | |
Datensatz im Suchindex
| _version_ | 1826204828827648000 |
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| adam_text |
CONTENTS
INTRODUCTION
1
1
NUMERICAL
SIMULATIONS
OF
STRONGLY
CORRELATED
ELECTRON
SYSTEMS
7
1.1
MICROSCOPIC
MODELS
.
7
1.1.1
THE
HUBBARD
MODEL
.
7
1.1.2
THE
T-J
MODEL
.
10
1.1.3
THE
HEISENBERG
MODEL
.
11
1.1.4
EFFECTIVE
BOSONIC
MODELS
FOR
THE
HEISENBERG
MODEL
.
11
1.1.5
FOUR-BOSON
MODELS
.
14
1.2
NUMERICAL
SIMULATION
TECHNIQUES
.
15
1.2.1
EXACT
DIAGONALIZATION
.
16
1.2.2
DENSITY
MATRIX
RENORMALIZATION
GROUP
.
16
1.2.3
QUANTUM
MONTE
CARLO
SIMULATIONS
.
16
1.2.4
CLUSTER
EXPANSION
TECHNIQUES
.
17
1.3
FINITE-SIZE
EFFECTS
.
18
1.3.1
CLASSES
OF
FINITE-SIZE
EFFECTS
.
18
1.3.2
FINITE-SIZE
SCALING
.
19
2
EXACT
DIAGONALIZATION
23
2.1
BASIC
IDEA
.
23
2.2
THE
LANCZOS
METHOD
.
26
2.2.1
ALGORITHM
.
26
2.2.2
APPROXIMATE
SOLUTION
OF
THE
EIGENVALUE
PROBLEM
.
27
2.2.3
DYNAMICAL
RESPONSE
FUNCTIONS
.
28
2.3
EFFICIENT
IMPLEMENTATION
.
30
2.3.1
CODING
THE
BASIS
STATES
.
30
2.3.2
REDUCING
HILBERT
SPACE
DIMENSION
USING
SYMMETRIES
.
31
2.3.3
PERIODIC
LATTICES
.
35
2.3.4
MATRIX-FREE
METHODS
FOR
SPECIFIC
ELECTRON
MODELS
.
38
2.3.5
METHODS
FOR
SINGLE
MOLECULES
OR
METAL-LIGAND
CLUSTERS
.
43
VI
C
ONTENTS
2.4
EXEMPLARY
APPLICATIONS
.
48
2.4.1
METAL-INSULATOR
TRANSITION
IN
THE
HUBBARD
MODEL
.
48
2.4.2
X-RAY
MAGNETIC
CIRCULAR
DICHROISM
IN
CRO
2
.
57
3
STOCHASTIC
SERIES
EXPANSION
(SSE)
65
3.1
THE
SSE
TECHNIQUE
.
65
3.1.1
POWER
SERIES
EXPANSION
OF
THE
PARTITION
FUNCTION
.
65
3.1.2
UPDATE
MECHANISM
.
67
3.1.3
MEASUREMENTS
AND
ESTIMATORS
.
72
3.1.4
MEASURING
GREEN
'
S
FUNCTIONS
.
73
3.1.5
EFFICIENTLY
ACCESSING
THE
SYSTEM
'
S
DYNAMICS
.
74
3.2
SCALING
BEHAVIOR
AND
BENCHMARK
TESTS
.
77
3.2.1
SCALING
BEHAVIOR
.
77
3.2.2
EFFICACITY
OF
THE
GREEN
FUNCTION
MEASUREMENTS
.
80
3.2.3
SUMMARY
.
83
3.3
EXEMPLARY
APPLICATIONS
.
83
3.3.1
DESTRUCTION
OF
SUPERFLUID
AND
LONG-RANGE
ORDER
BY
IMPURITIES
IN
TWO
DIMENSIONAL
SYSTEMS
.
83
3.3.2
QUANTUM
PHASE
TRANSITIONS
IN
THE
TWO
DIMENSIONAL
HARDCORE
BOSON
MODEL
.
84
3.3.3
A
BOSONIC
PICTURE
FOR
THE
HEISENBERG
SPIN
LADDER
WITH
IMPURITES
.
.
84
4
COMPUTER
ASSISTED
ALGEBRAIC
MANIPULATIONS
89
4.1
BASIC
STRATEGIES
.
89
4.2
IMPLEMENTATION
IN
MATHEMATICA
.
90
4.3
APPLICATION:
STRONG
COUPLING
THEORY
FOR
THE
HUBBARD
MODEL
.
92
4.3.1
INTRODUCTION
.
92
4.3.2
A
REFORMULATION
OF
THE
HUBBARD
I
APPROXIMATION
.
93
4.3.3
EXTENSION
OF
THE
HUBBARD
I
APPROXIMATION
.
96
4.3.4
COMPARISON
WITH
NUMERICS
.
100
4.3.5
CONCLUSION
.
105
5
SO(5)
THEORY
OF
HIGH-TEMPERATURE
SUPERCONDUCTIVITY
107
5.1
SO(5)
THEORY
.
107
5.1.1
BASIC
IDEA
.
107
5.1.2
MATHEMATICAL
FORMALISM
.
110
5.1.3
CLASSIFICATION
OF
STATES:
SO(5)
MULTIPLETS
.
112
5.2
PROJECTED
SO(5)
THEORY
.
114
5.3
A
PSO(5)-SYMMETRIC
EFFECTIVE
BOSON
HAMILTONIAN
.
117
5.3.1
CONSTRUCTION
OF
THE
MODEL
.
117
5.3.2
MEAN
FIELD
ANALYSIS
.
118
6
NUMERICAL
STUDIES
OF
THE
PSO(5)
MODEL
121
6.1
THE
PSO(5)
MODEL
IN
TWO
DIMENSIONS
.
121
6.1.1
DOPING
DEPENDENCE
OF
THE
CHEMICAL
POTENTIAL
.
121
6.1.2
PHASE
SEPARATION
AND
COEXISTENCE
OF
AF
AND
SC
.
123
C
ONTENTS
VII
6.1.3
EXCURSE:
KOSTERLITZ-THOULESS
TRANSITIONS
(KT)
.
126
6.1.4
QUASI
LONG-RANGE
ORDER
AND
'
SUPERCONDUCTING
'
PHASE
.
129
6.1.5
SPIN
RESONANCE
PEAK
.
129
6.1.6
HOW
SO(5)-SYMMETRIC
IS
THE
PSO(5)
MODEL?
.
130
6.2
THE
PSO(5)
MODEL
IN
THREE
DIMENSIONS
.
132
6.2.1
REFERENCE
SYSTEM:
A
CLASSICAL
3D
SO(5)
MODEL
.
132
6.2.2
PHASE
DIAGRAM
.
134
6.2.3
COEXISTENCE
OF
AF
AND
SC
AND
PHASE
SEPARATION
.
134
6.2.4
SPIN
RESONANCE
PEAK
.
138
6.2.5
RESTORATION
OF
SO(5)
SYMMETRY
AT
THE
BICRITICAL
POINT
.
140
6.3
FOUR-BOSON
MODELS
BEYOND
THE
PSO(5)
MODEL
.
145
6.4
SUMMARY
.
145
SUMMARY
149
A
PROGRAM
PACKAGE
DOCUMENTATIONS
153
A.L
PROGRAM
PACKAGE
"
ED-HUBB
"
.
153
A.1.1
PROGRAM
FILES
AND
DOCUMENTATION
.
153
A.
1.2
USAGE
HINTS
.
154
A.2
PROGRAM
PACKAGE
"
ED-CLUST
"
.
155
A.2.1
PROGRAM
FILES
AND
DOCUMENTATION
.
155
A.2.2
PARAMETERS
.
156
A.
3
PROGRAM
PACKAGE
"
SSE
"
.
161
A.3.1
PROGRAM
FILES
AND
DOCUMENTATION
.
161
A.3.2
AUXILIARY
CONCEPTS
'
LATTICE
'
,
'
SITEOCCUP
'
AND
'
MODEL
'
.
163
A.
3.3
COMPILER
OPTIONS
AND
PROGRAM
MODES
.
163
A.3.4
PROGRAM
PARAMETERS
.
166
A.
3.5
USER-DEFINED
ENHANCEMENTS
OF
SSE
.
174
A.4
PROGRAM
PACKAGE
"
QM
"
.
174
A.4.1
PROGRAM
FILES
AND
DOCUMENTATION
.
174
A.
4.2
PURPOSE
AND
BASIC
IDEAS
.
174
A.4.3
NOTATIONS
.
176
A.4.4
PREDEFINED
OPERATORS
.
176
A.4.5
COMMANDS
DEFINING
PROPERTIES
OF
VARIABLES
.
177
A.4.6
REPLACEMENT
RULE
PACKAGES
.
178
A.4.7
QUANTUM
MECHANICS
ON
FINITE
LATTICES
.
181
B
A
FAST
ALGORITHM
FOR
SELECTIVE
FOURIER
PROBLEMS
183
B.L
INTRODUCTION
AND
EXAMPLE
PROBLEM
.
183
B.2
OPTIMIZING
FOURIER
COEFFICIENT
ARRAYS
.
185
B.3
THE
ALGORITHM
.
187
B.4
IMPLEMENTATION
IN
C++
.
190
B.5
SUMMARY
.
190
BIBLIOGRAPHY
192
VIII
C
ONTENTS
ZUSAMMENFASSUNG
203
LEBENSLAUF
209
PUBLIKATIONEN
211
DANKSAGUNG
213 |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV017237441 |
| illustrated | Illustrated |
| indexdate | 2025-03-10T11:04:01Z |
| institution | BVB |
| isbn | 3832502289 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010387833 |
| oclc_num | 53413419 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-703 DE-188 |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-703 DE-188 |
| physical | VIII, 206 S. graph. Darst. : 21 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Logos-Verl. |
| record_format | marc |
| spelling | Dorneich, Ansgar 1971- Verfasser (DE-588)124692362 aut New computational techniques for strongly correlated electron systems vorgelegt von Ansgar Dorneich Berlin Logos-Verl. 2003 VIII, 206 S. graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Zsfassung in dt. Sprache. - Zugl.: Würzburg, Univ., Diss., 2003 Würzburg, Univ., Diss., 2002 Elektronenkorrelation (DE-588)4210527-4 gnd rswk-swf Hochtemperatursupraleiter (DE-588)4220922-5 gnd rswk-swf Starke Kopplung (DE-588)4382353-1 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf SO-5-Symmetrie (DE-588)4583210-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elektronenkorrelation (DE-588)4210527-4 s Starke Kopplung (DE-588)4382353-1 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Hochtemperatursupraleiter (DE-588)4220922-5 s SO-5-Symmetrie (DE-588)4583210-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010387833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dorneich, Ansgar 1971- New computational techniques for strongly correlated electron systems Elektronenkorrelation (DE-588)4210527-4 gnd Hochtemperatursupraleiter (DE-588)4220922-5 gnd Starke Kopplung (DE-588)4382353-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd SO-5-Symmetrie (DE-588)4583210-9 gnd |
| subject_GND | (DE-588)4210527-4 (DE-588)4220922-5 (DE-588)4382353-1 (DE-588)4128130-5 (DE-588)4583210-9 (DE-588)4113937-9 |
| title | New computational techniques for strongly correlated electron systems |
| title_auth | New computational techniques for strongly correlated electron systems |
| title_exact_search | New computational techniques for strongly correlated electron systems |
| title_full | New computational techniques for strongly correlated electron systems vorgelegt von Ansgar Dorneich |
| title_fullStr | New computational techniques for strongly correlated electron systems vorgelegt von Ansgar Dorneich |
| title_full_unstemmed | New computational techniques for strongly correlated electron systems vorgelegt von Ansgar Dorneich |
| title_short | New computational techniques for strongly correlated electron systems |
| title_sort | new computational techniques for strongly correlated electron systems |
| topic | Elektronenkorrelation (DE-588)4210527-4 gnd Hochtemperatursupraleiter (DE-588)4220922-5 gnd Starke Kopplung (DE-588)4382353-1 gnd Numerisches Verfahren (DE-588)4128130-5 gnd SO-5-Symmetrie (DE-588)4583210-9 gnd |
| topic_facet | Elektronenkorrelation Hochtemperatursupraleiter Starke Kopplung Numerisches Verfahren SO-5-Symmetrie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010387833&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dorneichansgar newcomputationaltechniquesforstronglycorrelatedelectronsystems |