Modern aspects of superconductivity: theory of superconductivity
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2011
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 203- 213 |
| Beschreibung: | XIII, 217 S. graph. Darst. |
| ISBN: | 9814261602 9789814261609 |
Internformat
MARC
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| 020 | |a 9814261602 |9 981-4261-60-2 | ||
| 020 | |a 9789814261609 |9 978-981-4261-60-9 | ||
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| 100 | 1 | |a Kruchinin, Sergei |e Verfasser |0 (DE-588)143176633 |4 aut | |
| 245 | 1 | 0 | |a Modern aspects of superconductivity |b theory of superconductivity |c Sergei Kruchinin ; Hidemi Nagao & Shigeyuki Aono |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 2011 | |
| 300 | |a XIII, 217 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 203- 213 | ||
| 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 Nagao, Hidemi |e Verfasser |0 (DE-588)14317665X |4 aut | |
| 700 | 1 | |a Aono, Shigeyuki |e Verfasser |0 (DE-588)143176668 |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=020658034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-020658034 | ||
Datensatz im Suchindex
| _version_ | 1804143397680709632 |
|---|---|
| adam_text | Contents
Preface
vii
1.
Theory of Superconductivity
1
1.1
Introduction
........................... 1
1.2
Spinors
............................. 4
1.2.1
Spinor
......................... 6
1.2.2
Noether theorem and Nambu-Goldstone
theorem
......................... 7
1.3
Propagator
........................... 10
1.3.1
Hamiltonian
...................... 11
1.4
Noninteracting
......................... 12
1.5
Interacting
........................... 15
1.5.1
Unrestricted Hartree-Fock (HF)
........... 19
1.5.2
Gap equation for superconductivity
......... 20
1.6
Illustrative Example, Critical Temperature
......... 21
1.6.1
Bond alternation
.................... 21
1.6.2
Deformation energy
.................. 23
1.6.3
Polyacene, gap equation, critical temperature
.... 24
1.6.4
Conclusion
....................... 27
1.7
Linear Response Magnetic Resonance
in Normal and Superconducting Species;
Spin-lattice Relaxation Time
................. 28
1.7.1
Introduction
...................... 28
1.7.2
ΤΊ
in NMR
....................... 31
1.7.3
Theory with Green s function
............ 32
1.7.4
Noninteracting
..................... 35
1.7.5
Interacting; normal
.................. 36
χ
Modern
Aspects
of Superconductivity: Theory of Superconductivity
1.8
Interacting; Superconductor
.................. 39
1.8.1
The extended
Nambu
spinor.............
39
1.8.2
Green s function
.................... 40
1.8.3
Spin dynamics
..................... 41
1.8.4
Conclusion
....................... 42
1.9
Ginzburg-Landau Theory from the BCS Hamiltonian
... 43
1.9.1
BCS theory
...................... 44
1.9.2
Hubbard-Stratonovitch transformation
....... 46
1.9.3
Fourier transform
................... 48
1.9.4
Nambu
spinor.....................
48
1.9.5
Critical temperature
.................. 51
1.9.6
Temperature dependence of
φ
............ 52
1.9.7
Dynamics of the boson field; symmetry breaking
. . 53
1.9.8
Instability
....................... 55
1.9.9
Supersymmetry
.................... 56
1.9.10
Towards the Ginzburg-Landau equation
...... 58
1.9.11
Discussion
....................... 59
2.
Physics of High-Tc Superconductors
61
2.1
Introduction
........................... 61
2.2
History of the Development of Superconductivity
...... 64
2.3
Structural Properties of High-Temperature
Superconductors
........................ 65
2.3.1
Phase diagram of cuprate superconductors
..... 69
2.4
Mechanisms of Pairing of HTSCs
............... 72
2.4.1
Specific mechanisms of pairing in superconductivity
72
2.4.2
Magnetic mechanism of pairing
........... 74
2.4.3
Exciton mechanism of pairing
............ 75
2.4.4
Anharmonic model and superconductivity
..... 76
2.4.5
Van Hove singularities
................ 77
2.4.6
Plasmon mechanism of pairing
............ 78
2.4.7
Bipolaronic mechanism of superconductivity
.... 78
2.5
Symmetry of Pairing in Cuprate Superconductors
...... 80
2.5.1
The superconductor s order parameter
....... 80
2.5.2
Classification of the superconductor s order param¬
eter by the representations of symmetry groups
. . 82
2.6
Experimental Studies of the Symmetry
of the Superconducting Order Parameter
........... 84
2.6.1
Measurements of the
Josephson
tunnel current
... 84
Contents xi
2.6.2
Measurements of the quantization of a flow
by the technique of the three-crystal unit
......86
2.7
Thermodynamics of the
d
Pairing
in Cuprate Superconductors
.................. 88
2.7.1
Introduction
...................... 88
2.7.2
Antiferromagnetic spin fluctuations in HTSCs
... 89
2.7.3
Continual model of antiferromagnetic spin
fluctuations
....................... 92
2.7.4
Equation for the superconducting gap
........ 97
2.7.5
Thermodynamic potential of antiferromagnetic
spin fluctuations
....................101
2.7.6
Heat capacity of the
d
pairing
............103
2.7.7
Heat capacity jump in superconductors
.......104
2.8
Summary
............................106
3.
Multiband Superconductivity
108
3.1
Introduction
...........................108
3.2
Multiband Hamiltonian
....................110
3.2.1
Hamiltonian
......................110
3.2.2
Two-particle Green function
.............112
3.2.3
Traditional superconductivity
............114
3.2.4
Copper oxides
.....................115
3.2.5
Cooperative mechanism
................115
3.2.6
Room-temperature superconductors
.........116
3.3
Two-gap Superconductivity in
MgĽ2
.............119
3.3.1
The physical properties of MgB2
...........119
3.3.2
Theoretical model
...................122
3.3.3
Superconductivity in MgB2
..............124
3.4
Theoretical Studies of Multiband Effects
in Superconductivity by Using
the Renormalization Group Approach
............127
3.4.1
Theoretical model
...................128
3.4.2
Renormalization group approach
...........130
3.4.3
Vertex correction and response function
for Cooper pairs
....................131
3.4.4
Renormalization equation
...............132
3.4.5
Phase diagrams
....................133
4.
Mesoscopic Superconductivity
135
4.1
Introduction
...........................
135
xii
Modern
Aspects
of Superconductivity: Theory of Superconductivity
4.2
Nanosize Two-Gap Superconductivity
............137
4.2.1
Hamiltonian for nanosize grains
........... 138
4.2.2
Path-integral approach
................ 139
4.2.3
Condensation energy
................. 141
4.2.4
Critical level spacing
................. 142
4.2.5
Parity gap
....................... 143
4.3
Exact Solution of Two-Band Superconductivity
in
Ultrasmali
Grains
......................145
4.3.1
Exact solution for two-band superconductivity
. . . 146
4.3.2
Hamiltonian
......................146
4.3.3
Exact solution
.....................148
4.3.4
Preprocessing for numerical calculations
......151
4.3.5
Results and discussion
................153
4.3.6
Pair energy level
....................153
4.3.7
Condensation energy
.................154
4.3.8
Parity gap
.......................155
4.4
Kondo Effect Coupled to Superconductivity
.........157
4.4.1
Kondo regime coupled to superconductivity
.... 158
4.4.2
Model
..........................159
4.4.3
Mean-field approximation
...............160
4.4.4
Critical level spacing in the Kondo effect
......161
4.4.5
Kondo effect coupled to superconductivity
.....162
4.4.6
Exact solution for the Kondo regime
........163
4.5
Interaction of Nanoscale Ferromagnetic Granules
in London Superconductors
..................166
4.5.1
Magnetic field of ferromagnetic inclusions
in a London superconductor
.............168
4.5.2
Magnetic field of ferromagnetic quantum dots
in a superconducting nanocomposite material
. . . 169
4.5.3
Interaction energy of quantum dots
in a superconducting nanocomposite material
. . .170
4.5.4
Spin-orientation phase transitions in a nanocom¬
posite material with arrays of ferromagnetic quan¬
tum dots
........................171
4.6
Spin-Orientation Phase Transitions
in a Two-Dimensional Lattice of Ferromagnetic
Granules in a London-Type Superconductor
.........174
4.7
Quantum Computer on Superconducting Qubits
......181
4.7.1
Principle of quantum computers
...........181
Contents xiii
4.7.2 Superconducting qubits................182
4.7.3
Josephson
effect
....................183
Summary and Conclusions
191
Appendix A: Two-particle Green Function for Multiband
Superconductors
193
Appendix B: A Solution Method for the Ferromagnetic
Granules in London Superconductors
199
Bibliography
203
Index
215
|
| any_adam_object | 1 |
| author | Kruchinin, Sergei Nagao, Hidemi Aono, Shigeyuki |
| author_GND | (DE-588)143176633 (DE-588)14317665X (DE-588)143176668 |
| author_facet | Kruchinin, Sergei Nagao, Hidemi Aono, Shigeyuki |
| author_role | aut aut aut |
| author_sort | Kruchinin, Sergei |
| author_variant | s k sk h n hn s a sa |
| building | Verbundindex |
| bvnumber | BV036740559 |
| classification_rvk | UP 2200 |
| ctrlnum | (OCoLC)705931343 (DE-599)BSZ313056218 |
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| format | Book |
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| id | DE-604.BV036740559 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:47:01Z |
| institution | BVB |
| isbn | 9814261602 9789814261609 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020658034 |
| oclc_num | 705931343 |
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| owner | DE-20 DE-703 DE-19 DE-BY-UBM DE-83 |
| owner_facet | DE-20 DE-703 DE-19 DE-BY-UBM DE-83 |
| physical | XIII, 217 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Kruchinin, Sergei Verfasser (DE-588)143176633 aut Modern aspects of superconductivity theory of superconductivity Sergei Kruchinin ; Hidemi Nagao & Shigeyuki Aono Singapore [u.a.] World Scientific 2011 XIII, 217 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 203- 213 Supraleitung (DE-588)4058651-0 gnd rswk-swf Supraleitung (DE-588)4058651-0 s DE-604 Nagao, Hidemi Verfasser (DE-588)14317665X aut Aono, Shigeyuki Verfasser (DE-588)143176668 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020658034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kruchinin, Sergei Nagao, Hidemi Aono, Shigeyuki Modern aspects of superconductivity theory of superconductivity Supraleitung (DE-588)4058651-0 gnd |
| subject_GND | (DE-588)4058651-0 |
| title | Modern aspects of superconductivity theory of superconductivity |
| title_auth | Modern aspects of superconductivity theory of superconductivity |
| title_exact_search | Modern aspects of superconductivity theory of superconductivity |
| title_full | Modern aspects of superconductivity theory of superconductivity Sergei Kruchinin ; Hidemi Nagao & Shigeyuki Aono |
| title_fullStr | Modern aspects of superconductivity theory of superconductivity Sergei Kruchinin ; Hidemi Nagao & Shigeyuki Aono |
| title_full_unstemmed | Modern aspects of superconductivity theory of superconductivity Sergei Kruchinin ; Hidemi Nagao & Shigeyuki Aono |
| title_short | Modern aspects of superconductivity |
| title_sort | modern aspects of superconductivity theory of superconductivity |
| title_sub | theory of superconductivity |
| topic | Supraleitung (DE-588)4058651-0 gnd |
| topic_facet | Supraleitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020658034&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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