Fermions en forte interaction et supraconductivité à haute température: 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity
Gespeichert in:
Format: | Buch |
---|---|
Sprache: | English |
Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
1995
|
Schriftenreihe: | École d'Été de Physique Théorique <LesHouches>: Session
56 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XXX, 594 S. Ill., graph. Darst. |
ISBN: | 0444821902 |
Internformat
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245 | 1 | 0 | |a Fermions en forte interaction et supraconductivité à haute température |b 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity |c éd. par B. Douçot ... |
246 | 1 | 1 | |a Strongly interaction fermions and high t c superconductivity |
264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 1995 | |
300 | |a XXX, 594 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a École d'Été de Physique Théorique <LesHouches>: Session |v 56 | |
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999 | |a oai:aleph.bib-bvb.de:BVB01-007105463 |
Datensatz im Suchindex
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adam_text | CONTENTS
Lecturers
Participants
Préface
Preface
Course I. Introduction to Landau Fermi-Liquid Theory,
by Walter Kohn
1
1.
Historical background
5
2.
Landau s Fermi-liquid theory
-
review and commentary
6
2.1.
Quasiparticles
6
2.2.
The Landau energy functional
9
2.3.
Collective modes
10
3.
Limitations of Landau Fermi-liquid theory
11
3.1.
Superfluid instability
11
3.2.
Lower dimensions
12
4.
Concluding remarks 1
2
References
12
Seminar I. Internal Structure of a Landau Quasiparticle
Wave Packet, by Walter Kohn
13
References
18
Course
2.
Strongly Correlated Electrons, by T.M. Rice
19
1.
Introduction
23
xxiu
2.
The one-band Hubbard model
24
2.1.
Hartree-Fock approximations
26
2.2.
Gutzwiller approximation scheme
31
3.
The t-J model and its relation to the cuprates
35
3.1.
Strong-coupling limit of the Hubbard model
35
3.2.
Two-band models for CuCb planes
37
3.3.
Relation between the
t-J
and two-band models
40
4.
The Hubbard and t-J models in one dimension
44
4.1.
Phase diagram
44
4.2.
Elementary excitations of a Luttinger liquid
46
5.
The t-J model in two dimensions
48
5.1.
Renormalized mean-field theory near half-filling
48
5.2.
Commensurate flux phases
53
5.3.
The d-wave RVB states
56
5.4.
Conclusions
57
6.
Novel Fermi liquids
58
6.1.
Uniform resonating valence bond state
59
6.2.
Comments on the uniform resonant valence bond theory
63
References
64
Course
3.
Phenomenology of High-Temperature
Superconductors, by
P.B. Littlew
ood
69
1.
Introduction
73
1.1.
Motivation
-
a putative phase diagram
73
1.1.1.
Magnetic insulator
74
1.1.2.
Metal-insulator transition
75
1.1.3.
Normal metal
75
1.1.4.
Superconductivity
75
1.2.
Theoretical approaches
76
1.3.
Caveats
76
1.4.
Outline
77
2.
Overview of experiments in the normal state
78
2.1.
Transport
78
2.1.1.
Resistivity
78
2.1.2.
Susceptibility
81
2.1.3. Magnetotransport 82
2.2.
Tunnelling
82
2.3. Photoemission 83
2.4.
Optical absorption
85
2.5.
Spin fluctuations
92
2.5.1.
Neutron scattering
93
2.5.2.
NMR
100
XXIV
2.6.
Raman scattering
104
3.
Phenomenology for the normal state
109
3.1.
Marginal Fermi liquid hypothesis
109
3.2.
Single-particle spectra
111
3.2.1. Photoemission
111
3.2.2.
Tunnelling 111
3.3.
Response functions
114
3.3.1.
Optical conductivity,
σ(ω)
115
3.3.2.
Raman scattering
118
3.3.3.
Long-wavelength behaviour, vertex corrections, impurity scatter¬
ing
119
3.3.4.
Spin fluctuations at large momentum
120
3.3.5.
Remarks
124
4.
The superconducting state
125
4.1.
Qualitative discussion
126
4.1.1. Photoemission
and tunnelling
126
4.1.2.
Pair-breaking effects
127
4.1.3.
Electrical conductivity
127
4.1.4.
Thermal conductivity
127
4.2.
Model
128
4.3.
Single-particle properties
132
4.3.1. Photoemission 132
4.3.2.
Tunnelling
133
4.4.
Response functions
135
4.5.
Remarks
140
5.
Conclusions
141
References
144
Course
4.
Model for Copper Oxide Metals and
Superconductors, by CM.
Varma
and
T. Giamarchi
149
1.
Introduction
153
2.
The periodic table and high-Tc compounds
154
2.1.
General properties of the transition elements
154
2.2.
From atoms to solids, transition metals
156
2.3.
Oxides of all kinds
159
3.
Oxides:
Mott
versus charge-transfer insulators
160
3.1.
V2O3
,
prototype of metal-insulator transitions
160
3.2.
Naive
Mott
theory. Successes and failures
162
3.3.
Charge transfer gap insulators
164
4.
High-Tc compounds
168
4.1.
Bandstructure
168
4.2.
Effective Hamiltonian
171
4.3.
Heavy
fermions,
similarities and differences
175
5.
High
-Гс
and Fermi liquids
176
5.1.
Phenomenology
176
5.2.
Fermi liquids
178
5.3.
Scenarios for a breakdown of Fermi-liquid theory
180
5.4.
Possible scenario for copper oxides
181
6.
Simple models
182
6.1.
Single-impurity model
183
6.2.
Excitonic resonances and marginal Fermi liquids
188
7.
Concluding remarks
193
References
194
Course
5.
The Large-
N
Expansion in the Strong-Correlation
Problem, by Gabriel Kotliar
197
1.
Introduction
201
2.
The single-impurity Anderson model
202
3.
The two-impurities problem
208
4.
The
í-J
model
215
5.
The extended Hubbard model
233
6.
Conclusions
245
References
246
Course
6.
An Experimental Approach to Organic
Conductors and Superconductors,
by D. Jerome
249
1.
Introduction to one-dimensional conductors
253
2.
Low-dimensional materials
258
3.
The TlvbX phase diagram
264
3.1.
The mean-field treatment
264
3.2.
Beyond the mean-field approximation
266
3.3.
The experimental diagram
270
3.4.
Spin-charge separation
272
3.5.
The NMR relaxation rate
278
3.6.
From spin-Peierls to superconducting ground states
285
3.7.
Possibility for unconventional pairing in organic superconductivity
289
4.
Spin density wave states
292
4.1.
Field-induced spin density wave (FISDW)
292
4.2.
Spin density wave conduction
298
5.
Conclusions
302
6.
Recent developments
303
References
303
Course
7.
A Renormalization Group Approach to Electronic
and Lattice Correlations in Organic Conductors,
by Claude
Bourbonnais
307
1.
Introduction
311
1.1.
The phase diagram
311
1.2.
ID features and concepts
315
1.3.
Choice of a model
320
1.4.
Electron-phonon interaction
322
1.5.
The nuclear relaxation probe
323
2.
Renormalization group approach
323
2.1.
Introduction
323
2.2.
One-dimensional electron gas
326
2.2.1.
Two-particle vertices and one-particle self-energy corrections
327
2.2.2.
Response functions
332
2.3.
Interchain hopping
335
2.4.
Coupling to the lattice
340
3.
Applications to the phase diagram
346
3.1.
Nuclear relaxation
346
3.1.1.
The non-ordered phase
346
3.1.2.
The critical region
351
3.2.
Long-range order
353
3.2.1.
Input electronic parameters of the RG
353
3.2.2.
The spin-Peierls instability
354
3.2.3.
Antiferromagnetism
356
3.2.4.
Antiferromagnetism and superconductivity
358
4.
Summary and concluding remarks
362
References
364
Seminar
2.
Finite-Size Scaling for the Energy Spectrum of
the XX
Z
Spin Chain, by Hans-Peter Eckle
369
Summary
371
References
371
XXVII
Course
8. Liquid
3Не,
by C.
Lhuillier
373
1.
Introduction
377
2.
Phase diagram and energy scales
378
2.1.
From the gas to the denser phases
378
2.2.
The law of quantum corresponding states
379
2.3.
The London picture of the dense phases of helium
380
2.4.
Statistics
383
3.
The Fermi-liquid regime in3 He
385
3.1.
An overview
385
3.2.
Experimental values of the Landau parameters
389
3.3.
Temperature scales in the Fermi-liquid regime
390
3.3.1.
Nuclear susceptibility
390
3.3.2.
Heat capacity
391
3.3.3.
Transport properties
392
4.
Microscopic approaches
393
4.1.
An overview
393
4.2.
The Gutzwiller approximation: a model of the Fermi-liquid regime
396
4.3.
The continuous description of 3He: the Jastrow-Slater wavefunction
403
4.4.
The description of the high-temperature data
405
5.
Microscopic approaches, the frontier: spin-polarized liquid helium three
408
5.1.
Experiments
408
5.2.
The predictions of the Gutzwiller approximation
409
5.3.
The sensitivity of magnetism to the variational ansatz
410
5.4.
The
RPA
picture of a Fermi system with short-range repulsion
411
5.5.
The Bouchaud-Lhuillier variational description of liquid 3He
413
5.5.1.
The improvements associated with the resonating triplet valence
bond wavefunction
415
5.5.2.
What is not settled by this variational calculation
417
5.5.3.
What could eventually be checked by new variational calculations
419
6.
Conclusion
420
References
421
Course
9.
Quantum Monte Carlo Methods for
Fermions,
by
D.M.
Ceperley
427
1.
Introduction
431
1.1.
Random walks
432
XXVIII
2.
Variational
Monte Carlo 432
2.1.
The pair-product trial function
434
2.2.
Details
434
2.3.
Optimization of trial functions
435
2.4.
Beyond the pair-product trial function
437
2.5.
Problems with variational methods
439
3.
Projector Monte Carlo
440
3.1.
Importance sampling
442
3.2.
The fixed-node method
444
3.3.
Exact fermion methods
446
3.4.
Lattice models
449
3.5.
Problems with projection methods
450
References
452
Course
10.
Numerical Methods for Quantum Spin Systems,
by A. Peter Young
455
1.
Introduction
459
2.
Some analytic results
460
3.
Quantum Monte Carlo techniques
468
4.
Exact diagonalization techniques
481
5.
Some results
486
6.
Conclusions
492
References
493
Course
11.
New Outlooks and Old Dreams in Quantum
Antiferromagnetism, by P. Chandra and
P. Coleman
495
1.
Introductory remarks
499
1.1.
A brief historical interlude
499
1.2.
Low-dimensionality and frustration: a recipe for strong fluctuations
502
2.
The antiferromagnet as a quantum fluid: concepts
505
2.1.
The Marshall sign rule
506
2.2.
The Liang-Doucot-Anderson wavefunction
509
2.3.
Spin currents and spin conductivity
514
2.4.
The Onsager reaction field
519
3.
The antiferromagnet as a quantum fluid: applications
523
3.1.
A rotationally invariant treatment of the bipartite magnet
525
3.2.
Frustrated magnetism from a two-fluids perspective
532
3.2.1.
Difficulties in non-collinear spin systems
532
3.2.2.
Gauge-fixing and the Marshall reference frame
534
3.2.3.
The mean-field decoupling procedure
536
4.
Frustration from a distance: the long-wavelength consequences
538
4.1.
The classical long-wavelength action
539
4.2.
Polyakov scaling of the spin stiffness
543
4.2.1.
The O(3) case
544
4.2.2.
The anisotropic scaling equations
546
4.3.
Order from disorder: a simple example
551
4.3.1.
Modified scaling arguments
553
4.3.2.
The quantum fluids perspective
557
5.
A quantum zoo of exotic spin order
561
5.1.
Transition to the spin liquid: how to kill a moment
562
5.2.
The spin nematic
564
5.3.
Dimer states
568
5.4.
The Laughlin spin liquid
571
5.5.
Numerical results for
S
= 5 572
6.
The enigma of the
kagomé
antiferromagnet
574
6.1.
The motivating experiments
574
6.2.
A topological glass?
578
6.3.
Preliminary numerical diagnostics
586
6.4.
Discussion
587
7.
Some conclusions and more questions
589
References
591
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genre | (DE-588)1071861417 Konferenzschrift 1991 Les Houches gnd-content |
genre_facet | Konferenzschrift 1991 Les Houches |
id | DE-604.BV010647752 |
illustrated | Illustrated |
indexdate | 2024-07-09T17:56:34Z |
institution | BVB |
isbn | 0444821902 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007105463 |
oclc_num | 643762698 |
open_access_boolean | |
owner | DE-12 DE-384 DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR |
owner_facet | DE-12 DE-384 DE-91G DE-BY-TUM DE-703 DE-355 DE-BY-UBR |
physical | XXX, 594 S. Ill., graph. Darst. |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | Elsevier |
record_format | marc |
series | École d'Été de Physique Théorique <LesHouches>: Session |
series2 | École d'Été de Physique Théorique <LesHouches>: Session |
spelling | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity éd. par B. Douçot ... Strongly interaction fermions and high t c superconductivity Amsterdam [u.a.] Elsevier 1995 XXX, 594 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier École d'Été de Physique Théorique <LesHouches>: Session 56 Hochtemperatursupraleitung (DE-588)4200190-0 gnd rswk-swf Starke Kopplung (DE-588)4382353-1 gnd rswk-swf Fermionensystem (DE-588)4252865-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1991 Les Houches gnd-content Fermionensystem (DE-588)4252865-3 s Hochtemperatursupraleitung (DE-588)4200190-0 s DE-604 Starke Kopplung (DE-588)4382353-1 s Douçot, Benoit Sonstige oth École d'Été de Physique Théorique <LesHouches>: Session 56 (DE-604)BV000022608 56 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007105463&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity École d'Été de Physique Théorique <LesHouches>: Session Hochtemperatursupraleitung (DE-588)4200190-0 gnd Starke Kopplung (DE-588)4382353-1 gnd Fermionensystem (DE-588)4252865-3 gnd |
subject_GND | (DE-588)4200190-0 (DE-588)4382353-1 (DE-588)4252865-3 (DE-588)1071861417 |
title | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity |
title_alt | Strongly interaction fermions and high t c superconductivity |
title_auth | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity |
title_exact_search | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity |
title_full | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity éd. par B. Douçot ... |
title_fullStr | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity éd. par B. Douçot ... |
title_full_unstemmed | Fermions en forte interaction et supraconductivité à haute température 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity éd. par B. Douçot ... |
title_short | Fermions en forte interaction et supraconductivité à haute température |
title_sort | fermions en forte interaction et supraconductivite a haute temperature 30 juillet 31 aout 1991 strongly interaction fermions and high t c superconductivity |
title_sub | 30 juillet - 31 août 1991 = Strongly interaction fermions and high t c superconductivity |
topic | Hochtemperatursupraleitung (DE-588)4200190-0 gnd Starke Kopplung (DE-588)4382353-1 gnd Fermionensystem (DE-588)4252865-3 gnd |
topic_facet | Hochtemperatursupraleitung Starke Kopplung Fermionensystem Konferenzschrift 1991 Les Houches |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007105463&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000022608 |
work_keys_str_mv | AT doucotbenoit fermionsenforteinteractionetsupraconductiviteahautetemperature30juillet31aout1991stronglyinteractionfermionsandhightcsuperconductivity AT doucotbenoit stronglyinteractionfermionsandhightcsuperconductivity |