Superconductor / ferromagnet nanostructures: An illustration on the physics of hybrid nanomaterials
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xii, 266 Seiten Illustrationen, Diagramme (überwiegend farbig) |
| ISBN: | 9789811249563 |
Internformat
MARC
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| 245 | 1 | 0 | |a Superconductor / ferromagnet nanostructures |b An illustration on the physics of hybrid nanomaterials |c Oriol T Valls, University of Minnesota, USA |
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Datensatz im Suchindex
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| adam_text | Contents vii Preface 1 1. Introduction 1.1 1.2 1.3 1.4 Structures and Materials Considered................................... The Proximity Effect............................................................... What the Book Covers............................................................ Organization........................................................................... 2. The Basic Formalism 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 5 Introduction.............................................................................. Materials: Considerations...................................................... The Hamiltonian..................................................................... The Bogoliubov-DeGennes Equations ................................ Self-Consistency........................................................................ 2.5.1 Diagonalization procedures: Practicalities............ 2.5.2 Diagonalization procedures: Numerical considerations........................................................... Parameters and Normalizations............................................ Pair Amplitude and Characteristic Lengths....................... Summary................................................................................. 3. Conservation Laws and Triplet Conversion 3.1 3.2 3.3 1 1 2 3 Introduction.............................................................................. Conservation Laws.................................................................. The Pauli Principle and How to Beat It............................. ix 5 7 7 9 11 11 14 15 16 19 21 21 21
22
Superconductor/Ferromagnet Nanostructures x 3.4 3.5 3.6 4. Thermodynamics 4.1 4.2 4.3 5. Odd Triplet Pairing.................................................................. Existence of Triplet Amplitudes............................................. Some Triplet Amplitude Results: An Example................... Basic Ideas .............................................................................. The Free Energy..................................................................... 4.2.1 The calculation of the transition temperature ... Example: SFS Trilayers......................................................... 4.3.1 Thermodynamic functions ...................................... 4.3.2 Phase diagram........................................................... 4.3.3 Experimental comparison for the transition temperature................................................ 4.3.4 Reverse proximity effect............................................ 4.3.5 The density of states ............................................... Triplet Pairing Generation and Its Consequences 5.1 5.2 5.3 5.4 Triplets in a Simplified Spin Valve Structure....................... Spin Active Interfaces............................................................ Nonuniform Magnets: Triplets and Reentrance................ 5.3.1 Results for the spiral ferromagnet/superconductor bilayers......................................................... Summary................................................................................. 6. Experiments: Transition Temperature and Triplet Conversion in Spin Valve
Structures 6.1 6.2 6.3 6.4 Basic Experimental Description............................................ Some Theoretical Details......................................................... Results........................................................................................ 6.3.1 Transition temperature............................................ 6.3.2 Triplet conversion..................................................... Summary............................................ 7. Transport: Introduction 7.1 Basic Ideas .............................................................................. 7.1.1 Reflection, Andreev scattering and boundary conditions ................................................... 85 7.1.2 The voltage dependence of the conductance .... 22 24 25 33 33 34 36 38 38 42 44 46 47 49 49 55 60 61 70 71 72 73 75 75 78 81 83 83 88
Contents 7.2 7.3 8. Conservation Laws................................................................. Looking Ahead........................................................................ Charge Transport xi 90 92 93 8.1 Introduction............................................................................... 93 8.2 Enforcing the Boundary Conditions....................................... 93 8.3 Extracting the Conductance................................................... 95 8.3.1 Self-consistency: General.......................................... 97 8.3.2 Self-consistency: The transfer matrix method ... 98 8.3.3 Angles and angular averages................................... 102 8.4 Conductance Results................................................................ 104 8.4.1 General considerations ............................................. 104 8.4.2 FFS trilayers: Forward conductance...................... 104 8.4.3 Angularly averaged results and anomalous (equal spin) Andreev reflection................. 115 8.4.4 The conductance of spin valve structures: General......................................................... 122 8.4.5 Spin valve conductance: Effects of the interfacial scattering...................................................... 123 8.4.6 Spin valve conductance: Effects of geometry . . . 126 8.4.7 Temperature dependence........................................ 130 8.5 Summary.................................................................................. 134 9. Spin Transport 9.1 9.2 9.3 9.4 9.5 Introductory
Remarks............................................................ Basic Ideas .............................................................................. Spin Current Conservation Laws......................................... Spin Transport Results............................................................ 9.4.1 The FFS trilayer........................................................ 9.4.2 Spin transport in spinvalve structures.................... 9.4.3 Spin transport in spin valve structures: Interfacial scattering.................................... 153 9.4.4 Spin in spin valve structures: Effects of geometry...................................................... 167 Discussion................................................................................. 135 135 135 139 141 141 152 174
Superconductor/Ferromagnet Nanostructures xii 10. Spin and Charge Transport: The Voltage Dependence of the Conductance 177 Definitions and General Considerations.............................. Spin Split Conductance Results.......................................... 10.2.1 Analytic results........................................................ 10.2.2 Numerical results ..................................................... 10.3 Summary................................................................................ 10.1 10.2 11. Ferromagnetic Josephson Junctions: Statics 199 11.1 11.2 Introduction............................................................................ Basic Ideas and Conservation Laws.................................... 11.2.1 Conservation laws..................................................... 11.2.2 Triplet amplitudes and spin rotations.................. 11.3 Results...................................................................................... 11.3.1 General....................................................................... 11.3.2 Current-phase relations........................................... 11.3.3 Magnetic orientation and CPR............................... 11.3.4 Induced triplet pairing in ferromagnetic Josephson junctions.................................................. 11.3.5 Spin transport........................................................... 11.4 Summary................................................................................ 12. Ferromagnetic Josephson Junction Valve Structures: Quasiparticle Conductance 199 200 203
204 206 206 207 211 215 222 227 231 Basic Ideas ............................................................................ Methods................................................................................... Resonance Phenomena ....................................................... Quasiparticle ConductanceResults...................................... 12.4.1 Approximate analyticresults.................................... 12.4.2 Numerical results ................................................... 12.5 Summary................................................................................ 12.1 12.2 12.3 12.4 178 179 179 185 194 231 233 236 239 239 241 254 13. Concluding Remarks 257 References 261 Index 263
|
| adam_txt |
Contents vii Preface 1 1. Introduction 1.1 1.2 1.3 1.4 Structures and Materials Considered. The Proximity Effect. What the Book Covers. Organization. 2. The Basic Formalism 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 5 Introduction. Materials: Considerations. The Hamiltonian. The Bogoliubov-DeGennes Equations . Self-Consistency. 2.5.1 Diagonalization procedures: Practicalities. 2.5.2 Diagonalization procedures: Numerical considerations. Parameters and Normalizations. Pair Amplitude and Characteristic Lengths. Summary. 3. Conservation Laws and Triplet Conversion 3.1 3.2 3.3 1 1 2 3 Introduction. Conservation Laws. The Pauli Principle and How to Beat It. ix 5 7 7 9 11 11 14 15 16 19 21 21 21
22
Superconductor/Ferromagnet Nanostructures x 3.4 3.5 3.6 4. Thermodynamics 4.1 4.2 4.3 5. Odd Triplet Pairing. Existence of Triplet Amplitudes. Some Triplet Amplitude Results: An Example. Basic Ideas . The Free Energy. 4.2.1 The calculation of the transition temperature . Example: SFS Trilayers. 4.3.1 Thermodynamic functions . 4.3.2 Phase diagram. 4.3.3 Experimental comparison for the transition temperature. 4.3.4 Reverse proximity effect. 4.3.5 The density of states . Triplet Pairing Generation and Its Consequences 5.1 5.2 5.3 5.4 Triplets in a Simplified Spin Valve Structure. Spin Active Interfaces. Nonuniform Magnets: Triplets and Reentrance. 5.3.1 Results for the spiral ferromagnet/superconductor bilayers. Summary. 6. Experiments: Transition Temperature and Triplet Conversion in Spin Valve
Structures 6.1 6.2 6.3 6.4 Basic Experimental Description. Some Theoretical Details. Results. 6.3.1 Transition temperature. 6.3.2 Triplet conversion. Summary. 7. Transport: Introduction 7.1 Basic Ideas . 7.1.1 Reflection, Andreev scattering and boundary conditions . 85 7.1.2 The voltage dependence of the conductance . 22 24 25 33 33 34 36 38 38 42 44 46 47 49 49 55 60 61 70 71 72 73 75 75 78 81 83 83 88
Contents 7.2 7.3 8. Conservation Laws. Looking Ahead. Charge Transport xi 90 92 93 8.1 Introduction. 93 8.2 Enforcing the Boundary Conditions. 93 8.3 Extracting the Conductance. 95 8.3.1 Self-consistency: General. 97 8.3.2 Self-consistency: The transfer matrix method . 98 8.3.3 Angles and angular averages. 102 8.4 Conductance Results. 104 8.4.1 General considerations . 104 8.4.2 FFS trilayers: Forward conductance. 104 8.4.3 Angularly averaged results and anomalous (equal spin) Andreev reflection. 115 8.4.4 The conductance of spin valve structures: General. 122 8.4.5 Spin valve conductance: Effects of the interfacial scattering. 123 8.4.6 Spin valve conductance: Effects of geometry . . . 126 8.4.7 Temperature dependence. 130 8.5 Summary. 134 9. Spin Transport 9.1 9.2 9.3 9.4 9.5 Introductory
Remarks. Basic Ideas . Spin Current Conservation Laws. Spin Transport Results. 9.4.1 The FFS trilayer. 9.4.2 Spin transport in spinvalve structures. 9.4.3 Spin transport in spin valve structures: Interfacial scattering. 153 9.4.4 Spin in spin valve structures: Effects of geometry. 167 Discussion. 135 135 135 139 141 141 152 174
Superconductor/Ferromagnet Nanostructures xii 10. Spin and Charge Transport: The Voltage Dependence of the Conductance 177 Definitions and General Considerations. Spin Split Conductance Results. 10.2.1 Analytic results. 10.2.2 Numerical results . 10.3 Summary. 10.1 10.2 11. Ferromagnetic Josephson Junctions: Statics 199 11.1 11.2 Introduction. Basic Ideas and Conservation Laws. 11.2.1 Conservation laws. 11.2.2 Triplet amplitudes and spin rotations. 11.3 Results. 11.3.1 General. 11.3.2 Current-phase relations. 11.3.3 Magnetic orientation and CPR. 11.3.4 Induced triplet pairing in ferromagnetic Josephson junctions. 11.3.5 Spin transport. 11.4 Summary. 12. Ferromagnetic Josephson Junction Valve Structures: Quasiparticle Conductance 199 200 203
204 206 206 207 211 215 222 227 231 Basic Ideas . Methods. Resonance Phenomena . Quasiparticle ConductanceResults. 12.4.1 Approximate analyticresults. 12.4.2 Numerical results . 12.5 Summary. 12.1 12.2 12.3 12.4 178 179 179 185 194 231 233 236 239 239 241 254 13. Concluding Remarks 257 References 261 Index 263 |
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| index_date | 2024-07-03T19:18:47Z |
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| isbn | 9789811249563 |
| language | English |
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| spelling | Valls, Oriol T. Verfasser (DE-588)1252716788 aut Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials Oriol T Valls, University of Minnesota, USA Superconductor New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2022] © 2022 xii, 266 Seiten Illustrationen, Diagramme (überwiegend farbig) txt rdacontent n rdamedia nc rdacarrier Ferromagnetikum (DE-588)4154129-7 gnd rswk-swf Supraleiter (DE-588)4184140-2 gnd rswk-swf Nanostrukturiertes Material (DE-588)4342626-8 gnd rswk-swf Nanostrukturiertes Material (DE-588)4342626-8 s Supraleiter (DE-588)4184140-2 s Ferromagnetikum (DE-588)4154129-7 s DE-604 Erscheint auch als Online-Ausgabe 978-981-124-957-0 Erscheint auch als Online-Ausgabe 978-981-124-958-7 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033247602&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Valls, Oriol T. Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials Ferromagnetikum (DE-588)4154129-7 gnd Supraleiter (DE-588)4184140-2 gnd Nanostrukturiertes Material (DE-588)4342626-8 gnd |
| subject_GND | (DE-588)4154129-7 (DE-588)4184140-2 (DE-588)4342626-8 |
| title | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials |
| title_alt | Superconductor |
| title_auth | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials |
| title_exact_search | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials |
| title_exact_search_txtP | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials |
| title_full | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials Oriol T Valls, University of Minnesota, USA |
| title_fullStr | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials Oriol T Valls, University of Minnesota, USA |
| title_full_unstemmed | Superconductor / ferromagnet nanostructures An illustration on the physics of hybrid nanomaterials Oriol T Valls, University of Minnesota, USA |
| title_short | Superconductor / ferromagnet nanostructures |
| title_sort | superconductor ferromagnet nanostructures an illustration on the physics of hybrid nanomaterials |
| title_sub | An illustration on the physics of hybrid nanomaterials |
| topic | Ferromagnetikum (DE-588)4154129-7 gnd Supraleiter (DE-588)4184140-2 gnd Nanostrukturiertes Material (DE-588)4342626-8 gnd |
| topic_facet | Ferromagnetikum Supraleiter Nanostrukturiertes Material |
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