Density functional theory for superconductors: exchange and correlation potentials for inhomogeneous systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English German |
| Veröffentlicht: |
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 99, [4] S. graph. Darst. |
Internformat
MARC
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| 007 | t | ||
| 008 | 010516s2000 d||| m||| 00||| eng d | ||
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| 100 | 1 | |a Marques, Miguel |d 1974- |e Verfasser |0 (DE-588)123388201 |4 aut | |
| 245 | 1 | 0 | |a Density functional theory for superconductors |b exchange and correlation potentials for inhomogeneous systems |c vorgelegt von Miguel Marques |
| 264 | 1 | |c 2000 | |
| 300 | |a 99, [4] S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Würzburg, Univ., Diss., 2000 | ||
| 650 | 7 | |a Dichtefunktionalformalismus |2 gtt | |
| 650 | 7 | |a Halbleiter |2 gtt | |
| 650 | 7 | |a Hochschulschrift |2 gtt | |
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| 650 | 0 | 7 | |a Supraleiter |0 (DE-588)4184140-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Supraleitung |0 (DE-588)4058651-0 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Dichtefunktionalformalismus |0 (DE-588)4258514-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Supraleitung |0 (DE-588)4058651-0 |D s |
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Datensatz im Suchindex
| _version_ | 1807504445907402752 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
4
2
THE
ELIASHBERG
EQUATIONS
7
2.1
CLASSICAL
DERIVATION
.
7
2.2
ODLRO
AND
THE
TWO-PARTICLE
GREEN
'
S
FUNCTION
.
11
2.2.1
THE
BOSE
GAS
.
12
2.2.2
THE
SUPERCONDUCTING
GAS
.
13
2.2.3
LINEARISED
ELIASHBERG
EQUATIONS
.
14
2.3
NUMERICAL
SOLUTIONS
.
16
3
DFT
FORMULATION
FOR
SUPERCONDUCTING
SYSTEMS
19
3.1
INTRODUCTION
.
19
3.2
DFT
FORMULATION
FOR
ELECTRON-NUCLEAR
SYSTEMS
.
22
3.2.1
THE
ELECTRON-NUCLEAR
HAMILTONIAN
.
22
3.2.2
DFT
FOR
THE
ELECTRON-NUCLEAR
SYSTEM
.
24
3.2.3
THE
KOHN-SHAM
SYSTEM
.
26
4
EXCHANGE
AND
CORRELATION
FUNCTIONALS
FOR
SCDFT
29
4.1
KOHN-SHAM
PERTURBATION
THEORY
.
29
4.2
FEYNMAN
DIAGRAMS
.
35
4.3
A
FIRST-ORDER
APPROXIMATION
FOR
THE
IRREDUCIBLE
SELF-ENERGY
.
37
4.4
ON
THE
CONSTRUCTION
OF
THE
XC
POTENTIALS
.
38
4.4.1
METHOD
1:
FUNCTIONAL
DERIVATIVES
.
38
4.4.2
METHOD
2:
THE
SHAM-SCHLUTER
EQUATION
.
44
4.4.3
COMPARISON
OF
THE
TWO
METHODS
.
48
4.5
ANALYSIS
OF
THE
LINEARISED
XC
TERMS
FOR
SIMPLE
METALS
.
49
4.5.1
THE
A
TERM
.
51
4.5.2
THE
B
TERM
.
53
4.5.3
THE
C
TERM
.
56
4.5.4
THE
D
TERM
.
57
4.6
NUMERICAL
SOLUTIONS
OF
THE
DFT LINEARISED
GAP
EQUATION
.
59
4.7
IMPROVED
FUNCTIONALS
.
61
4.7.1
D
1
:
A
FACTOR
OF
2!
.
61
4.7.2
D
2
:
THE
MALEVOLENT
PART
.
61
4.7.3
D
3
:
HOW
ABOUT
THE
OTHER
TERM?
.
62
4.7.4
RENORMALIZATION
OF
THE
GREEN
'
S
FUNCTIONS
.
63
5
AN
LDA
FUNCTIONAL
FOR
SCDFT
67
5.1
THELSDA
.
68
5.2
THE
SCLDA
.
68
5.3
HOW
TO
CALCULATE
.
70
5.4
THE
XC
POTENTIALS
.
74
5.5
CONSTRUCTION
OF
THE
EXPLICIT
FUNCTIONAL
.
75
5.6
NUMERICAL
EVALUATION
OF
F%
M
.
76
5.7
SUPERCONDUCTIVITY
IN
THE
ELECTRON
GAS
.
77
6
SOME
RESULTS
FOR
RELATIVISTIC
SUPERCONDUCTORS
80
6.1
THE
DIRAC-BOGOLIUBOV-DE
GENNES
EQUATION
.
80
6.2
DISCRETE
SYMMETRIES
OF
THE
DBDG
EQUATION
.
82
6.2.1
THE
TIME-DEPENDENT
DBDG
EQUATION
.
82
6.2.2
PARITY
.
83
6.2.3
CHARGE
CONJUGATION
.
84
6.2.4
TIME-REVERSAL
.
85
6.3
THE
PAULI-BOGOLIUBOV-DE
GENNES
EQUATION
.
87
6.3.1
ZERO-ORDER
APPROXIMATION
.
88
6.3.2
FIRST-ORDER
APPROXIMATION
.
88
6.3.3
SECOND-ORDER
APPROXIMATION
.
89
7
SUMMARY
AND
OUTLOOK
92
A
THE
T]-MATRICES
95
BIBLIOGRAPHY
97
ZUSAMMENFASSUNG
100
ACKNOWLEDGEMENTS
103
LEBENSLAUF
104
PUBLIKATIONEN
105 |
| any_adam_object | 1 |
| author | Marques, Miguel 1974- |
| author_GND | (DE-588)123388201 |
| author_facet | Marques, Miguel 1974- |
| author_role | aut |
| author_sort | Marques, Miguel 1974- |
| author_variant | m m mm |
| building | Verbundindex |
| bvnumber | BV013730086 |
| classification_rvk | UP 2200 |
| ctrlnum | (OCoLC)48731061 (DE-599)BVBBV013730086 |
| discipline | Physik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV013730086 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T01:09:25Z |
| institution | BVB |
| language | English German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009383358 |
| oclc_num | 48731061 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-703 DE-12 DE-188 DE-83 |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-703 DE-12 DE-188 DE-83 |
| physical | 99, [4] S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| record_format | marc |
| spelling | Marques, Miguel 1974- Verfasser (DE-588)123388201 aut Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems vorgelegt von Miguel Marques 2000 99, [4] S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Würzburg, Univ., Diss., 2000 Dichtefunktionalformalismus gtt Halbleiter gtt Hochschulschrift gtt Dichtefunktionalformalismus (DE-588)4258514-4 gnd rswk-swf Supraleiter (DE-588)4184140-2 gnd rswk-swf Supraleitung (DE-588)4058651-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Supraleiter (DE-588)4184140-2 s Dichtefunktionalformalismus (DE-588)4258514-4 s DE-604 Supraleitung (DE-588)4058651-0 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009383358&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marques, Miguel 1974- Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems Dichtefunktionalformalismus gtt Halbleiter gtt Hochschulschrift gtt Dichtefunktionalformalismus (DE-588)4258514-4 gnd Supraleiter (DE-588)4184140-2 gnd Supraleitung (DE-588)4058651-0 gnd |
| subject_GND | (DE-588)4258514-4 (DE-588)4184140-2 (DE-588)4058651-0 (DE-588)4113937-9 |
| title | Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems |
| title_auth | Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems |
| title_exact_search | Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems |
| title_full | Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems vorgelegt von Miguel Marques |
| title_fullStr | Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems vorgelegt von Miguel Marques |
| title_full_unstemmed | Density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems vorgelegt von Miguel Marques |
| title_short | Density functional theory for superconductors |
| title_sort | density functional theory for superconductors exchange and correlation potentials for inhomogeneous systems |
| title_sub | exchange and correlation potentials for inhomogeneous systems |
| topic | Dichtefunktionalformalismus gtt Halbleiter gtt Hochschulschrift gtt Dichtefunktionalformalismus (DE-588)4258514-4 gnd Supraleiter (DE-588)4184140-2 gnd Supraleitung (DE-588)4058651-0 gnd |
| topic_facet | Dichtefunktionalformalismus Halbleiter Hochschulschrift Supraleiter Supraleitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009383358&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT marquesmiguel densityfunctionaltheoryforsuperconductorsexchangeandcorrelationpotentialsforinhomogeneoussystems |