One-dimensional superconductivity in nanowires:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
2013
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXXVI, 307 S. Ill., graph. Darst. |
| ISBN: | 3527409955 9783527409952 9783527649044 9783527649051 9783527649068 |
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MARC
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Record in the Search Index
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IMAGE 1
CONTENTS
PREFACE X I
ABBREVIATIONS AND SYMBOLS X V
COLOR PLATES X X I
PART ONE THEORETICAL ASPECTS O F SUPERCONDUCTIVITY IN 1D NANOWIRES 1
1 SUPERCONDUCTIVITY: BASICS AND FORMULATION 3 1.1 INTRODUCTION 3
1.2 BCS THEORY 4
1.3 BOGOLIUBOV-DE GENNES EQUATIONS - QUASIPARTICLE EXCITATIONS 8 1.4
GINZBURG-LANDAU THEORY 10
1.4.1 TIME-DEPENDENT GINZBURG-LANDAU THEORY 12 1.5 GORKOV GREEN'S
FUNCTIONS, EILENBERGER-LARKIN-OVCHINNIKOV EQUATIONS, AND THE USADEL
EQUATION 12 1.6 PATH INTEGRAL FORMULATION 19
REFERENCES 27
2 1D SUPERCONDUCTIVITY: BASIC NOTIONS 31 2.1 INTRODUCTION 31
2.2 SHAPE RESONANCES - OSCILLATIONS IN SUPERCONDUCTIVITY PROPERTIES 33
2.2.1 EARLY TREATMENTS O F SHAPE RESONANCES IN 2D FILMS 35 2.2.2
BOGOLIUBOV-DE GENNES EQUATIONS, FINITE TEMPERATURE, AND PARABOLICBAND
APPROXIMATION FOR REALISTIC MATERIALS 40
2.2.3 NUMERICAL SOLUTIONS AND THIN FILM SHAPE RESONANCES 42 2.2.4 ID
NANOWIRES - SHAPE RESONANCES AND SIZE OSCILLATIONS 45 2.3
SUPERCONDUCTIVITY IN CARBON NANOTUBES - SINGLE-WALLED BUNDLES AND
INDIVIDUAL MULTIWALLED NANOTUBES 48 2.4 PHASE SLIPS 50
2.4.1 FINITE VOLTAGE IN A SUPERCONDUCTING WIRE AND PHASE SLIP 51 2.4.2
PHASE SLIP IN A JOSEPHSON JUNCTION 52 2.4.3 LANGER-AMBEGAOKAR FREE
ENERGY MINIMA IN THE GINZBURG-LANDAU APPROXIMATION 55
2.4.4 TRANSITION RATE AND FREE ENERGY BARRIER 59
HTTP://D-NB.INFO/1027115837
IMAGE 2
V I I I | CONTENTS
2.4.5 FREE ENERGY BARRIER FOR A PHASE SLIP IN THE GINZBURG-LANDAU THEORY
60
2.4.6 PHYSICAL SCENARIO O F A THERMALLY-ACTIVATED PHASE SLIP 64 2.4.7
MCCUMBER-HALPERIN ESTIMATE O F THE ATTEMPT FREQUENCY 66 REFERENCES 71
3 QUANTUM PHASE SLIPS AND QUANTUM PHASE TRANSITIONS 75 3.1 INTRODUCTION
75
3.2 ZAIKIN-GOLUBEV THEORY 79
3.2.1 DERIVATION O F THE LOW ENERGY EFFECTIVE ACTION 80 3.2.2 CORE
CONTRIBUTION TO THE QPS ACTION 88 3.2.3 HYDRODYNAMIC CONTRIBUTION TO THE
PHASE-SLIP ACTION 91 3.2.4 QUANTUM PHASE-SLIP RATE 92 3.2.5 QUANTUM
PHASE-SLIP INTERACTION AND QUANTUM-PHASE TRANSITIONS 95
3.2.6 WIRE RESISTANCE AND NONLINEAR VOLTAGE-CURRENT RELATIONS 97 3.3
SHORT-WIRE SUPERCONDUCTOR-INSULATOR TRANSITION: BIICHLER, GESHKENBEIN
AND BLATTER THEORY 100 3.4 REFAEL, DEMLER, OREG, FISHER THEORY - ID
JOSEPHSON JUNCTION CHAINS
AND NANOWIRES 105 3.4.1 DISCRETE MODEL O F ID JOSEPHSON JUNCTION CHAINS
107 3.4.2 RESISTANCE O F THE JOSEPHSON JUNCTIONS AND THE NANOWIRE 114
3.4.3 MEAN FIELD THEORY OF THE SHORT-WIRE SIT 116 3.5 KHLEBNIKOV-PRYADKO
THEORY - MOMENTUM CONSERVATION 121 3.5.1 GROSS-PITAEVSKII MODEL AND
QUANTUM PHASE SLIPS 123
3.5.2 DISORDER AVERAGING, QUANTUM PHASE TRANSITION AND SCALING FOR THE
RESISTANCE AND CURRENT-VOLTAGE RELATIONS 126 3.5.3 SHORT WIRES - LINEAR
QPS INTERACTION AND EXPONENTIAL QPS RATE 130 3.6 QUANTUM CRITICALITY AND
PAIR-BREAKING - UNIVERSAL CONDUCTANCE AND
THERMAL TRANSPORT IN SHORT WIRES 136 REFERENCES 143
4 DUALITY 149
4.1 INTRODUCTION 149
4.2 MOOIJ-NAZAROV THEORY O F DUALITY-QPS JUNCTIONS 152 4.2.1 QPS
JUNCTION VOLTAGE-CHARGE RELATIONSHIP AND SHAPIRO CURRENT STEPS 156 4.2.2
QPS QUBITS 157
4.3 KHLEBNIKOV THEORY O F INTERACTING PHASE SLIPS IN SHORT WIRES: QUARK
CONFINEMENT PHYSICS 159 REFERENCES 165
5 PROXIMITY RELATED PHENOMENA 167
5.1 INTRODUCTION 167
5.2 TRANSPORT PROPERTIES O F NORMAL-SUPERCONDUCTING NANOWIRE-NORMAL
(N-SCNW-N) JUNCTIONS 169 5.2.1 NONEQUILIBRIUM USADEL EQUATIONS 169 5.2.2
PARAMETERIZATION OF THE USADEL EQUATIONS 174
IMAGE 3
CONTENTS | I X
5.2.3 NUMERICAL RESULTS 175
5.3 SUPERCONDUCTOR-SEMICONDUCTOR NANOWIRE-SUPERCONDUCTOR JUNCTIONS 179
5.4 MAJORANA FERMION I N S-SMNW-S SYSTEMS WITH STRONG SPIN-ORBIT
INTERACTION IN THE SEMICONDUCTOR 184
REFERENCES 188
PART TWO REVIEW O F EXPERIMENTS ON I D SUPERCONDUCTIVITY 193
6 EXPERIMENTAL TECHNIQUE FOR NANOWIRE FABRICATION 195 6.1 EXPERIMENTAL
TECHNIQUE FOR THE FABRICATION O F ULTRA NARROW NANOWIRES 195 6.2
INTRODUCTION TO THE TECHNIQUES 196
6.2.1 LITHOGRAPHY 197
6.2.2 METAL DEPOSITION 198 6.2.3 ETCHING 199
6.2.4 PUTTING IT ALL TOGETHER 199 6.3 STEP-EDGE LITHOGRAPHIC TECHNIQUE
201 6.4 MOLECULAR TEMPLATING 202
6.5 SEMICONDUCTING STENCILS 205 6.6 NATELSON AND WILLET 205
6.7 SNAP TECHNIQUE 206
6.8 CHANG AND ALTOMARE 208
6.9 TEMPLATE SYNTHESIS 209
6.10 OTHER METHODS 211
6.10.1 ION BEAM POLISHING 211 6.10.2 ANGLED EVAPORATION 213 6.10.3
RESIST DEVELOPMENT 213 6.11 FUTURE DEVELOPMENTS 214
REFERENCES 216
7 EXPERIMENTAL REVIEW O F EXPERIMENTS ON 1D SUPERCONDUCTING NANOWIRES
219 7.1 INTRODUCTION 219
7.2 FILTERING 220
7.3 PHASE SLIPS 221
7.4 OVERVIEW O F THE EXPERIMENTAL RESULTS 223 7.4.1 GIORDANO'S
EXPERIMENTS 225 7.4.2 RECENT EXPERIMENTS ON QPS 226 7.4.3 QPS PROBED VIA
SWITCHING CURRENT MEASUREMENTS 239
7.5 OTHER EFFECTS IN ID SUPERCONDUCTING NANOWIRES 248 7.5.1 S-SHAPED
CURRENT-VOLTAGE CHARACTERISTIC 248 7.6 ANTIPROXIMITY EFFECT 250
7.6.1 STABILIZATION O F SUPERCONDUCTIVITY BY A MAGNETIC FIELD 253 7.6.2
SHAPE RESONANCE EFFECTS 255 REFERENCES 257
IMAGE 4
X | CONTENTS
8 COHERENT QUANTUM PHASE SLIPS 263
8.1 INTRODUCTION 263
8.2 A SINGLE-CHARGE TRANSISTOR BASED ON THE CHARGE-PHASE DUALITY O F A
SUPERCONDUCTING NANOWIRE CIRCUIT 263 8.3 QUANTUM PHASE-SLIP PHENOMENON
IN ULTRANARROW SUPERCONDUCTING NANORINGS 266
8.4 COHERENT QUANTUM PHASE SLIP 267
8.5 CONCLUSION 272
REFERENCES 273
9 ID SUPERCONDUCTIVITY IN A RELATED SYSTEM 275 9.1 INTRODUCTION 275
9.2 CARBON NANOTUBES 275
9.2.1 PROXIMITY EFFECTS IN SWNT 276 9.2.2 INTRINSIC SUPERCONDUCTIVITY IN
SWNT 278 9.2.3 SUPERCONDUCTIVITY IN ROPES MEDIATED BY THE ENVIRONMENT
281 9.3 MAJORANA EXPERIMENTS 286
9.3.1 MAJORANA EXPERIMENT IN SEMICONDUCTING NANOWIRES 286 9.3.2 MAJORANA
EXPERIMENT IN HYBRID SUPERCONDUCTOR-TOPOLOGICAL INSULATOR DEVICES 290
9.4 SUPERCONDUCTING NANOWIRES AS SINGLE-PHOTON DETECTORS 292
REFERENCES 297
10 CONCLUDING REMARKS 301
INDEX 303 |
| any_adam_object | 1 |
| author | Altomare, Fabio Chang, Albert M. |
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| author_facet | Altomare, Fabio Chang, Albert M. |
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| author_sort | Altomare, Fabio |
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| dewey-full | 537.623 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537.623 |
| dewey-search | 537.623 |
| dewey-sort | 3537.623 |
| dewey-tens | 530 - Physics |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-08-03T00:37:32Z |
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| isbn | 3527409955 9783527409952 9783527649044 9783527649051 9783527649068 |
| language | English |
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| physical | XXXVI, 307 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Altomare, Fabio Verfasser (DE-588)1034945092 aut One-dimensional superconductivity in nanowires Fabio Altomare ; Albert M. Chang Weinheim Wiley-VCH 2013 XXXVI, 307 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Supraleitung (DE-588)4058651-0 gnd rswk-swf Nanodraht (DE-588)4707308-1 gnd rswk-swf Nanodraht (DE-588)4707308-1 s Supraleitung (DE-588)4058651-0 s DE-604 Chang, Albert M. Verfasser (DE-588)1034945181 aut Erscheint auch als Online-Ausgabe 978-3-527-64907-5 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4166013&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025952631&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Altomare, Fabio Chang, Albert M. One-dimensional superconductivity in nanowires Supraleitung (DE-588)4058651-0 gnd Nanodraht (DE-588)4707308-1 gnd |
| subject_GND | (DE-588)4058651-0 (DE-588)4707308-1 |
| title | One-dimensional superconductivity in nanowires |
| title_auth | One-dimensional superconductivity in nanowires |
| title_exact_search | One-dimensional superconductivity in nanowires |
| title_full | One-dimensional superconductivity in nanowires Fabio Altomare ; Albert M. Chang |
| title_fullStr | One-dimensional superconductivity in nanowires Fabio Altomare ; Albert M. Chang |
| title_full_unstemmed | One-dimensional superconductivity in nanowires Fabio Altomare ; Albert M. Chang |
| title_short | One-dimensional superconductivity in nanowires |
| title_sort | one dimensional superconductivity in nanowires |
| topic | Supraleitung (DE-588)4058651-0 gnd Nanodraht (DE-588)4707308-1 gnd |
| topic_facet | Supraleitung Nanodraht |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4166013&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025952631&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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