Quantum theory of conducting matter: superconductivity
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXIII, 249 S. graph. Darst. |
| ISBN: | 9780387882055 9780387882116 |
Internformat
MARC
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| 016 | 7 | |a 990247228 |2 DE-101 | |
| 020 | |a 9780387882055 |c Gb. : ca. EUR 65.91 (freier Pr.), ca. sfr 107.50 (freier Pr.) |9 978-0-387-88205-5 | ||
| 020 | |a 9780387882116 |9 978-0-387-88211-6 | ||
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| 084 | |a UP 2200 |0 (DE-625)146356: |2 rvk | ||
| 084 | |a 530 |2 sdnb | ||
| 100 | 1 | |a Fujita, Shigeji |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum theory of conducting matter |b superconductivity |c Shigeji Fujita ; Kei Ito ; Salvador Godoy |
| 264 | 1 | |a New York, NY |b Springer |c 2009 | |
| 300 | |a XXIII, 249 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Hall quantique, Effet |2 ram | |
| 650 | 7 | |a Supraconductivité |2 ram | |
| 650 | 4 | |a Quantum Hall effect | |
| 650 | 4 | |a Superconductivity | |
| 650 | 0 | 7 | |a Supraleitung |0 (DE-588)4058651-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Supraleitung |0 (DE-588)4058651-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Itō, Kei |e Verfasser |0 (DE-588)158973666 |4 aut | |
| 700 | 1 | |a Godoy, Salvador |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017091590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017091590 | ||
Datensatz im Suchindex
| _version_ | 1804138581219868672 |
|---|---|
| adam_text | Contents
Superconductors
-
Introduction
................................. 1
1.1
Basic
Properties of a Superconductor
....................... 1
1.1.1
Zero Resistance
................................. 1
1.1.2
Meissner Effect
................................. 1
1.1.3
Ring Supercurrent and Flux Quantization
............ 3
1.1.4
Josephson
Effects
................................ 4
1.1.5
Energy Gap
..................................... 6
1.1.6
Sharp Phase Change
.............................. 6
1.2
Occurrence of a Superconductor
........................... 7
1.2.1
Elemental Superconductors
........................ 7
1.2.2
Compound Superconductors
....................... 8
1.2.3
High-^ Superconductors
......................... 9
1.3
Theoretical Survey
...................................... 9
1.3.1
The Cause of Superconductivity
.................... 10
1.3.2
The Bardeen-Cooper-Schrieffer Theory
............. 10
1.3.3
Quantum Statistical Theory
........................ 12
References
..................................................... 13
Electron-Phonon Interaction
.................................... 15
2.1
Phonons and Lattice Dynamics
............................ 15
2.2
Electron-Phonon Interaction
.............................. 19
2.3
Phonon-Exchange Attraction
.............................. 23
References
..................................................... 27
The BCS Ground State
......................................... 29
3.1
Introduction
............................................ 29
3.2
The Reduced Hamiltonian
................................ 30
3.3
The BCS Ground State
................................... 32
3.4
Discussion
............................................. 39
3.4.1
The Nature of the Reduced Hamiltonian
............. 39
3.4.2 Bindeng
Energy per Pairon
........................ 39
3.4.3
Critical Field Bc and Binding Energy
|wo|
........... 39
!
Contents
3.4.4
The Energy Gap
................................. 40
3.4.5
The Energy Gap Equations
........................ 40
3.4.6
Neutral Supercondensate
.......................... 41
3.4.7
Cooper Pairs (Pairons)
............................ 41
3.4.8
Formation of a Supercondensate and Occurrence
of Superconductors
.............................. 42
3.4.9
Blurred Fermi Surface
............................ 43
References
..................................................... 43
4
The Energy Gap Equations
...................................... 45
4.1
Introduction
............................................ 45
4.2
Energy-Eigenvalue Problem in Second Quantization
.......... 46
4.3
Energies of
Quasi-Electrons
at
0
К
......................... 49
4.4
Derivation of the Cooper Equation
......................... 51
4.5
Energy Gap Equations at
0
К
.............................. 54
4.6
Temperature-Dependent Gap Equations
..................... 56
4.7
Discussion
............................................. 59
4.7.1
Ground State
.................................... 59
4.7.2
Supercondensate Density
......................... 59
4.7.3
Energy Gap
Δ(Τ)
................................ 59
4.7.4
Energy Gap Equations at
0
К
...................... 60
4.7.5
Energy Gap Equations Below Tc
................... 60
References
..................................................... 60
5
Quantum Statistics of Composites
................................ 61
5.1
Ehrenfest-Oppenheimer-Bethe s Rule
...................... 61
5.2
Two-Particle Composites
................................. 62
5.3
Discussion
............................................. 68
References
..................................................... 71
6
Quantum Statistical Theory
..................................... 73
6.1
The Full Hamiltonian
.................................... 73
6.2
The Cooper Pair Problem
................................. 75
6.3
Moving Pairons
......................................... 77
6.4
The Bose-Einstein Condensation
.......................... 79
6.5
The
ВЕС
in
3D,
e
=
cp..................................
84
6.6
Discussion
............................................. 86
References
..................................................... 88
7
Quantum Tunneling
............................................ 89
7.1
Introduction
............................................ 89
7.2
Quantum Tunneling in S-I-S Systems
...................... 90
7.3
Quantum Tunneling in S1-I-S2
............................ 97
7.4
Discussion
............................................. 101
References
..................................................... 101
Contents
x¡
8
Compound Superconductors
....................................
ЮЗ
8.1
Introduction
............................................
ЮЗ
8.2
Type
II
Superconductors
..................................103
8.3
Optical Phonons
........................................108
8.4
Discussion
.............................................111
References.....................................................Ill
9
Supercurrents
and Flux Quantization
............................113
9.1
Ring Supercurrent
.......................................113
9.2
Phase of the Quasi-Wavefunction
..........................116
9.3
London s Equation: Penetration Depth
......................119
9.4
Quasi-Wavefunction and Its Evolution
......................123
9.5
Discussion
.............................................126
9.5.1
Supercurrents
...................................126
9.5.2
Supercurrent is Not Hindered by Impurities
..........126
9.5.3
The Supercurrent Cannot Gain Energy from a DC
Voltage
........................................ 126
9.5.4
Critical Fields and Critical Currents
.................127
9.5.5
Supercurrent Ring and Flux Quantization
............127
9.5.6
Meissner Effect and Surface Supercurrent
...........127
9.5.7
London s Equation
...............................128
9.5.8
Penetration Depth
................................128
References
.....................................................129
10
Ginzburg-Landau Theory
......................................131
10.1
Introduction
............................................131
10.2
Derivation of the GL Equation
.............................133
10.3
Discussion
.............................................135
10.4
Penetration Depth
.......................................138
References
.....................................................140
11
Josephson
Effects
..............................................143
11.1
Josephson
Tunneling and Interference
......................143
11.2
Equations Governing
a Josephson
Current
...................147
11.3
AC
Josephson
Effect and Shapiro Steps
.....................150
11.4
Discussion
.............................................153
1.4.1
Josephson
Tunneling
............................. 153
1.4.2
Interference and Analogy with Laser
................ 153
1.4.3
GL Wavefunction, Quasi-Wavefunction, and Pairon
Density Operator
................................ 153
1.4.4
Josephson-Feynman Equations
.................... 154
1.4.5
AC
Josephson
Effect and Shapiro Steps
............. 154
1.4.6
Independent Pairon Picture
........................ 155
References
xii
Contents
12
High Temperature Superconductors
..............................157
12.1
Introduction
............................................ 157
12.2
Layered Structures and 2-D Conduction
..................... 157
12.3
The Hamiltonian
........................................ 160
12.4
The Ground State
....................................... 163
12.5
High Critical Temperature
................................ 166
12.6
The Heat Capacity
....................................... 168
12.7
Two Energy Gaps: Quantum Tunneling
..................... 168
12.7.1
Asymmetric I-V Curves for S-I-N
.................169
12.7.2
Scattered Data for Energy Gaps
....................170
12.7.3
Complicated I-V Curves
..........................170
References
.....................................................170
13
Doping Dependence of Tc
.......................................173
13.1
Introduction
............................................173
13.2
Theory
................................................173
13.3
Discussion
.............................................177
References
.....................................................179
14
The Susceptibility in Cuprates
...................................181
14.1
Introduction
............................................181
14.2
Theory
................................................184
14.3
Discussion
.............................................189
References
.....................................................190
15
rf-Wave Cooper Pair
............................................193
15.1
Introduction
............................................193
15.2
Phonon-Exchange Attraction
..............................193
15.3
¿-Wave Pairon Formalism
................................195
15.4
Discussion
.............................................196
References
.....................................................196
16
Transport Properties Above Tc
..................................197
16.1
Introduction
............................................197
16.2
Simple Kinetic Theory
...................................198
16.2.1
Resistivity
......................................198
16.2.2
Hall Coefficient
.................................201
16.2.3
Hall Angle
......................................202
16.3
Data Analysis
...........................................202
16.4
Discussion
.............................................205
References
.....................................................205
17
Other Theories
.................................................207
17.1
Gorter-Cassimir s Two Fluid Model
........................207
Contents xiii
17.2
London-London s Theory
................................207
17.3
Ginzburg-Landau Theory
.................................208
17.4
Electron-Phonon Interaction
..............................209
17.5
The Cooper Pair
.........................................210
17.6
BCS Theory
............................................210
17.7
Bose-Einstein Condensation
..............................213
17.8
Josephson
Theory
.......................................214
17.9
High Temperature Superconductors
........................215
17.10
Quantum Hall Effect
.....................................215
References
.....................................................216
18
Summary and Remarks
.........................................219
18.1
Summary
..............................................219
18.2
Remarks
...............................................222
18.2.1
Thin Films
......................................222
18.2.2
Nonmagnetic Impurities
..........................223
18.2.3
Magnetic Impurities
..............................223
18.2.4
Intermediate State
...............................223
18.2.5
Critical Currents: Silsbee s Rule
....................223
18.2.6
Mixed State: Pinning Vortex Lines
..................224
18.2.7
Critical Currents in Type II Superconductors
.........224
18.2.8
Concluding Remarks
.............................224
Reference
......................................................225
A Second Quantization
...........................................227
A.I Boson Creation and Annihilation Operators
..................227
A.2
Observables
............................................231
A.3 Fermion Creation and Annihilation Operators
................233
A.4
Heisenberg
Equation of Motion
............................234
Bibliography
.......................................................239
Index
.............................................................243
|
| any_adam_object | 1 |
| author | Fujita, Shigeji Itō, Kei Godoy, Salvador |
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| id | DE-604.BV035286457 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:28Z |
| institution | BVB |
| isbn | 9780387882055 9780387882116 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017091590 |
| oclc_num | 260206141 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-11 |
| owner_facet | DE-703 DE-20 DE-11 |
| physical | XXIII, 249 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Fujita, Shigeji Verfasser aut Quantum theory of conducting matter superconductivity Shigeji Fujita ; Kei Ito ; Salvador Godoy New York, NY Springer 2009 XXIII, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hall quantique, Effet ram Supraconductivité ram Quantum Hall effect Superconductivity Supraleitung (DE-588)4058651-0 gnd rswk-swf Supraleitung (DE-588)4058651-0 s DE-604 Itō, Kei Verfasser (DE-588)158973666 aut Godoy, Salvador Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017091590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fujita, Shigeji Itō, Kei Godoy, Salvador Quantum theory of conducting matter superconductivity Hall quantique, Effet ram Supraconductivité ram Quantum Hall effect Superconductivity Supraleitung (DE-588)4058651-0 gnd |
| subject_GND | (DE-588)4058651-0 |
| title | Quantum theory of conducting matter superconductivity |
| title_auth | Quantum theory of conducting matter superconductivity |
| title_exact_search | Quantum theory of conducting matter superconductivity |
| title_full | Quantum theory of conducting matter superconductivity Shigeji Fujita ; Kei Ito ; Salvador Godoy |
| title_fullStr | Quantum theory of conducting matter superconductivity Shigeji Fujita ; Kei Ito ; Salvador Godoy |
| title_full_unstemmed | Quantum theory of conducting matter superconductivity Shigeji Fujita ; Kei Ito ; Salvador Godoy |
| title_short | Quantum theory of conducting matter |
| title_sort | quantum theory of conducting matter superconductivity |
| title_sub | superconductivity |
| topic | Hall quantique, Effet ram Supraconductivité ram Quantum Hall effect Superconductivity Supraleitung (DE-588)4058651-0 gnd |
| topic_facet | Hall quantique, Effet Supraconductivité Quantum Hall effect Superconductivity Supraleitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017091590&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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