Collective excitations in unconventional superconductors and superfluids:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2010
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXXVII, 820 S. Ill., graph. Darst. |
| ISBN: | 9789812771230 9812771239 |
Internformat
MARC
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| 100 | 1 | |a Brusov, Petr N. |d 1949- |e Verfasser |0 (DE-588)144025108 |4 aut | |
| 245 | 1 | 0 | |a Collective excitations in unconventional superconductors and superfluids |c Peter Brusov ; Pavel Brusov |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2010 | |
| 300 | |a XXXVII, 820 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1804142716663103488 |
|---|---|
| adam_text | Titel: Collective excitations in unconventional superconductors and superfluids
Autor: Brusov, Petr N
Jahr: 2010
Contents
Preface vii
Introduction xxi
I. Functional Integration Method 1
1.1. Functional integrals in Statistical physics 1
1.2. Functional integrals and diagram techniques for 2
Bose-particles
1.3. Functional integrals and diagram techniques for 21
Fermi-particles
1.4. Method of successive Integration over fast and 27
slow fields
II. Collective Excitations in Superfluid Fermi-Systems 31
with s-Pairing
2.1. Effective action functional of the superfluid Fermi-gas 31
2.2. Bose-spectrum of superfluid Fermi-gas 38
2.3. Fermi-gas with Coulomb interaction 51
IB. Sound Propagation in Superfluid ^e and 57
Superconductors
3.1. Sound propagation in superfluid 3He 57
3.2. Sound propagation in conventional superconductors 59
3.2.1. Attenuation in the normal State 59
3. 2.2. Attenuation in the superconducting state 61
3. 2.3. Attenuation in the superconducting State in a 62
magnetic field
3.2.4. Velocity at the superconducting transition 63
x Contents
IV. Superfluid Phases in 3He 65
4.1. Introduction: Fermi-systems with nontrivial pairing 65
4.2. Properties of superfluid phases in 3He 67
V. The Model of3He 83
5.1. The path integral approach 83
5.2. Kinetic equation method 97
VI. Collective Excitations in the Ä-Phase of 3H 103
6.1. The quadratic form of action functional 103
6.2. The collective mode frequencies 109
6.3. Dispersion corrections to the collective mode 114
spectrum
6.3.1. Dispersion laws for rsq- and sg-modes 114
6.3.2. Dispersion induced Splitting of the rsq- 120
and sg-mode
6.4. The pair-breaking mode dispersion law 123
6.5. Collective mode spectrum calculated by the 130
kinetic equation method
6.6. Fermi-liquid corrections 133
6.7. Textural effects on the squashing modes 134
6.8. Coupling of order-parameter collective modes to 141
ultrasound
VII. Collective Excitations in the A-Phaseof^e 151
7.1. ^-phaseof3He 151
7.2. The collective mode spectrum in the absence of 152
magnetic fields
7.3. The latent symmetry, additional Goldstone modes, 166
W-bosons
7.4. The linear Zeeman effect for clapping- and 173
pair-breaking modes
7.4.1. The equations for the collective mode spectrum 173
in an arbitrary magnetic field and at arbitrary
collective mode momenta
Contents xi
7.4.2. The collective mode spectrum for small 177
magnetic fields and zero collective mode
momenta (linear Zeeman effect for clapping
and pairbreaking modes)
7.5. Kinetic equation results on collective modes 181
in A-phase
7.5.1. Sound and the order parameter collective 181
modes
7.5.2. Orbital waves and sound 188
7. 6. Textural effects in A-phase 195
VIII. Identification of 3He-A by Ultrasound Experiments 203
8.1. Introduction 203
8.2. Mermin-Star s phase diagram analysis 203
8.3. Axial phase 207
8.3.1. Ginsburg-Landau model 211
8.3.2. The second Variation of free energy 213
8.4. Conclusion 216
IX. StabUity of Goldstone Modes 217
9.1. Stability of Goldstone-modes and their 217
dispersion laws
9.2. Stability of Goldstone-modes in the Ä-phase 219
9.3. Stability of Goldstone-modes in the axial A-phase 228
9.4. Stability of Goldstone-modes in the planar 235
2D-phase
X. Influenae of Dipole Interaction and Magnetk Fidd 241
on Collective Excitations
10.1. The influence ofthe dipole interaction on collective 241
excitations
10.2. The influence of the magnetic field on collective 255
excitations
10.3. Conclusion 258
xii Contents
XI. The Influence of the Electric Field on the Collective 261
Excitations in 3He and 4He
11.1. The energy spectrum and hydrodynamics of 4He 261
in a strong electric field (macroscopic approach)
11.2. Superfluid Bose-systems in the electric field 266
(microscopic approach)
11.3. The effective action functional for the superfluid 270
3He in the electric field
11.4. The influence of the electric field on the 274
Bose-spectrum in the ß-phase
11.5. The influence of the electric field on the 280
Bose-spectrum in the A-phase
XII. The Order Parameter Distortion and Collective 285
Modes in 3He-Ä
12.1. The external perturbations and the order parameter 285
distortions
12.2. The collective mode spectrum under the order 292
parameter distortion
12.2.1. Dipole interaction 295
12.2.2. Magnetic fields 298
12.2.3. Electric fields 299
12.2.4. Superfluid flow 309
12.2.5. Rotational effects (vortices and 311
gyromagnetism)
12.3. Sound experiments at the absorption edge 312
12.4. Subdominant f-wave pairing interactions in 313
superfluid 3He
XIII. Splitting of the Squashing Mode and the Method of 321
Superfluid Velocity Measurement in *He-B
13.1. A doublet Splitting ofthe squashing mode in 321
superfluid 3He-5
13.2. The method of superfluid velocity measurement 328
in 3He-5
Contents xiii
XIV. Superfluid Phase of3He-ÄNear the Boundary 331
14.1. Introduction 331
14.2. Transverse sound experiments 332
14.3. Possible new phases near the boundary 333
14.4. Different branches of squashing mode 340
14.5. Deformed ß-phase 341
14.6. Conclusion 343
XV. Collective Excitations in the Planar 2D-Phase of 345
Superfluid 3He
15.1. The planar 2D-phase of superfluid 3He 345
15.2. Collective modes in 3He-2D at zero momenta of 348
excitations
XVI. Dispersion Induced Splitting of the Collective mode 355
Spectrum in Axial- and Planar-Phases of
Superfluid 3He
16. 1. Introduction 356
16.2. Axial phase 357
16.2.1. The model of superfluid 3He 359
16.2.2. The equations for the collective mode 361
spectrum in an arbitrary magnetic field
and at arbitrary collective mode momenta
16.2.3. The dispersion corrections to collective 364
mode spectrum in 3He~*4
16.3. Planar phase 366
16.3.1. Stability of2Z -phase 367
16.3.2. The equations for collective mode 370
spectrum in 3He-2Z)
16.3.3. The equations for collective mode 374
spectrum in 3He-2D with dispersion
corrections
16.3.4. The collective mode spectrum in 3He-2£ 378
with dispersion corrections
16.4. Conclusion 382
xiv Contents
XVII. Collective Excitations in the Polar-Phase 385
17.1. Calculation of the collective mode spectrum 386
17.2. Conclusion 390
XVIII. Collective Mode Spectrum in A^Phase of 391
Superfluid ^e
18.1. Calculation of the collective mode spectrum 391
18.2. Conclusion 398
XIX. Superfluidity of Two-Dimensional and 399
One-Dimensional Systems
19.1. Phase transitions in two-dimensional Systems 399
19.2. Two-dimensional superfluidity 401
19.3. Quantum vortices 428
19.4. One-dimensional Systems 440
19.5. Superfluidity in Fermi films. Singlet pairing 442
19.6. Triplet pairing. Thick films 446
19.7. Model of3 He-film 455
19.8. Superfluid phases of a two-dimensional 458
superfluid 3He
19.9. Bose-spectrum of the a-phase 468
19.10. Bose-spectrum of the ^-phase 476
19.11. The two-dimensional superfluidity must exist! 481
19.12. New possibility for the search of 22 -superfluidity 486
in 3He-films
XX. Bose-Spectrum of Superfluid Solutions ^e- He 489
20.1. Superfluidity of 3He, dissolved in4He 489
20.2. The case of s-pairing in3 He. Effective action 490
functional ofthe 3He-4He Solutions
20.3. Bose-spectrum of the ^e^He Solution 498
20.4. The case of /7-pairing. The effective action 503
functional of the 3He-4He Solution
20.5. Bose-spectrum of a Solution of the type 509
^He-B^He
Contents
20.6. Bose-spectrum of a system of the type 518
3He-A-4He
3tr_ _ 4,
20.7. Bose-spectrum of films of the types He-a- He 524
and 3He-6-4He
20.8. Conclusion 527
XXI. Novel Sound Phenomena in Impure Superfluids 529
21.1. Introduction 530
21.2. Decoupling of first and second sound in 532
pure superfluids
21.3. Sounds coupling in impure superfluids 534
21.3.1. Superfluids with different impurities, 534
3He-4He mixtures
21.3.2. Sounds coupling in superfluid He 537
in aerogel
21.4. Slow pressure (density) oscillations, fast 542
temperature (entropy) oscillations
21.5. Fast mode frequency shift at TC(TÄ) 542
21.6. Difference in nature of first and second sound 545
In impure superfluids
21.7. Sound con version phenomena 547
21.7.1. Conservation laws in sound conversion 547
21.7.2. Sound conversion in pure superfluids 550
21.7.3. Sound conversion in 3He-4He mixtures 552
21.8. Sound conversion experimens in pure superfluids 554
21.9. Some possible new sound experiments in impure 555
superfluids
21.10. Coupling oftwo slow modes in superfluid 556
3He-4He mixture in aerogel
21.11. Nonlinear hydrodynamic equations for superfluid 562
helium in aerogel
21.12. Putterman s type equations 565
21.13. Conclusion 568
xvi Contents
XXII. Path Integral Approach to the Theory of Crystals 571
XXIII. Effective Interaction of Electrons Near the 589
Fermi-Surface
XXIV. The Path Integral Models of p- and rf-Pairing for 599
Bulk Superconductors
24.1. Models of p- and d-pairing 599
24.2. /7-pairing 601
24.3. d-pairing 603
XXV. High Temperature Superconductors (HTSC) and 607
Their Physical Properties
25.1. The discoveryof HTSC 607
25.2. Physical properties of HTSC 613
25.2.1. Some experimental data 613
XXVI. Symmetryof Order Parameter in HTSC 623
26.1. Introduction 623
26.1.1. Superconductivity and broken symmetry 624
26.1.2. The symmetry group 630
26.2. Symmetry Classification of HTSC states 632
26.2.1. Square lattice 632
26.2.2. Tetragonal lattice 634
26.2.3. The orthorhombic lattice 636
26.2.4. Electron-hole symmetry 639
26.3. Singlet states 641
26.3.1. The gap functions 641
26.3.2. Mixing of states of different irreducible 643
representations
26.3.3. Orthorhombicity and twins 650
26.3.4. Multilayer structures 651
26.4. Pairing symmetry and pairing interactions 653
26.4.1. Two scenarios for rf-wave pairing 654
26.4.2. Tests ofthe pairing interaction 657
Contents xvii
26.4.3. Influence of electron-phonon interaction 661
on d^-^-pairing
26.5. Experimental symmetry probes 668
26.5.1. Josephson effects 669
26.5.2. Magnetic induction of dj-j. + idxy order 677
in HTSC
26.5.3. Transition Splitting, spontaneous strain 679
and magnetism
26.5.4. Critical phenomena and Gaussian 682
fluctuations
26.5.5. Collective modes 686
26.5.6. Exotic vortices 690
26.5.7. Probes of the gap function 693
26.5.8. Distinction of a scalar from a tensor 695
Order parameter
26.6. Experimental evidence for dj-f pairing 696
26.6.1. Clean samples 696
26.6.2. Impurities 701
26.7. Irradiation studies 704
26.8. List of abridgements for chapters XXV 708
and XXVI
XXVII. D-Pairing in HTSC 711
27.1. Introduction 711
27.2. Bulk HTSC under üf-pairing 713
XXVm. HowtoDistmgiiishtheMixtureofTworf-Wave 721
States from Pure /-Wave State of HTSC
28.1. The mixture of two d-wave states 721
28.2. Equations for collective modes spectrum 723
in a mixed d-wave State of unconventional
superconductors
28.2.1. Model for mixed State 723
28.2.2. Equations for collective modes 727
spectrum in a mixed df-wave State at
arbitrary admixture of d^ State
xviii Contents
28.2.3. Equations for collective modes 732
spectrum in a mixed d-wave State at
an equal admixtures of dj-j. and d^ states
28.2.4. /,iy-state of high temperature 735
superconductors with a small admixture
of d^-state
28.3. Conclusion 738
XXIX. /7-Wave Superconductors 741
29.1. Introduction 741
29.2. Bulk p-wave superconductivity 741
XXX. Two Dimensional p- and «f-Wave Superconductivity 755
30.1. Two-dimensional modeis of p- and J-pairing 755
inUSC
30.2. p-pairing 755
30.2.1. Two-dimensional / -wave superconducting 756
states
30.2.2. The collective mode spectrum 758
30.3. Two-dimensional d-v/ave superconductivity 760
30.3.1. 2Z -model of d-pairing in Cu02 planes 760
ofHTSC
30.3.2. The collective mode spectrum 763
30.3.3. Lattice symmetry and collective mode 764
spectrum
XXXI. Collective Modes in the Heavy-Fermion 765
Superconductors
31.1. Physical properties of heavy-fermion 765
superconductors
31.2. Bulk heavy-fermion superconductors under 767
J-pairing
31.3. Conclusion 772
Contents xix
XXXII. Other Application of the Theory of Collective 775
Excitations
32.1. Relativistic analogs of 3He 775
References 781
About the Authors 811
|
| any_adam_object | 1 |
| author | Brusov, Petr N. 1949- Brusov, Pavel 1979- |
| author_GND | (DE-588)144025108 (DE-588)144025140 |
| author_facet | Brusov, Petr N. 1949- Brusov, Pavel 1979- |
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| bvnumber | BV025543764 |
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| id | DE-604.BV025543764 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:36:11Z |
| institution | BVB |
| isbn | 9789812771230 9812771239 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020145091 |
| oclc_num | 796180832 |
| open_access_boolean | |
| owner | DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-19 DE-BY-UBM |
| physical | XXXVII, 820 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Brusov, Petr N. 1949- Verfasser (DE-588)144025108 aut Collective excitations in unconventional superconductors and superfluids Peter Brusov ; Pavel Brusov New Jersey [u.a.] World Scientific 2010 XXXVII, 820 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Supraleitung (DE-588)4058651-0 gnd rswk-swf Kollektive Anregung (DE-588)4263280-8 gnd rswk-swf Suprafluidität (DE-588)4184132-3 gnd rswk-swf Suprafluidität (DE-588)4184132-3 s Supraleitung (DE-588)4058651-0 s Kollektive Anregung (DE-588)4263280-8 s DE-604 Brusov, Pavel 1979- Verfasser (DE-588)144025140 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020145091&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brusov, Petr N. 1949- Brusov, Pavel 1979- Collective excitations in unconventional superconductors and superfluids Supraleitung (DE-588)4058651-0 gnd Kollektive Anregung (DE-588)4263280-8 gnd Suprafluidität (DE-588)4184132-3 gnd |
| subject_GND | (DE-588)4058651-0 (DE-588)4263280-8 (DE-588)4184132-3 |
| title | Collective excitations in unconventional superconductors and superfluids |
| title_auth | Collective excitations in unconventional superconductors and superfluids |
| title_exact_search | Collective excitations in unconventional superconductors and superfluids |
| title_full | Collective excitations in unconventional superconductors and superfluids Peter Brusov ; Pavel Brusov |
| title_fullStr | Collective excitations in unconventional superconductors and superfluids Peter Brusov ; Pavel Brusov |
| title_full_unstemmed | Collective excitations in unconventional superconductors and superfluids Peter Brusov ; Pavel Brusov |
| title_short | Collective excitations in unconventional superconductors and superfluids |
| title_sort | collective excitations in unconventional superconductors and superfluids |
| topic | Supraleitung (DE-588)4058651-0 gnd Kollektive Anregung (DE-588)4263280-8 gnd Suprafluidität (DE-588)4184132-3 gnd |
| topic_facet | Supraleitung Kollektive Anregung Suprafluidität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020145091&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT brusovpetrn collectiveexcitationsinunconventionalsuperconductorsandsuperfluids AT brusovpavel collectiveexcitationsinunconventionalsuperconductorsandsuperfluids |