Correlated electrons in quantum matter:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific Publ.
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XIII, 535 S. Ill., graph. Darst. |
| ISBN: | 9789814390927 9789814390910 |
Internformat
MARC
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| 007 | t | ||
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| 020 | |a 9789814390927 |9 978-981-4390-92-7 | ||
| 020 | |a 9789814390910 |9 978-981-4390-91-0 | ||
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| 035 | |a (DE-599)GBV717447049 | ||
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| 100 | 1 | |a Fulde, Peter |d 1936-2024 |e Verfasser |0 (DE-588)133937097 |4 aut | |
| 245 | 1 | 0 | |a Correlated electrons in quantum matter |c Peter Fulde |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific Publ. |c 2012 | |
| 300 | |a XIII, 535 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Elektronenkorrelation |0 (DE-588)4210527-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Übergangsmetalloxide |0 (DE-588)4186583-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wellenfunktion |0 (DE-588)4189547-2 |2 gnd |9 rswk-swf |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-025385174 | ||
Datensatz im Suchindex
| _version_ | 1804149629633167360 |
|---|---|
| adam_text | Contents
1
Introduction
............................................... 1
2
Independent
Electrons
..................................... 9
2.1
Many-Electron Hamiltonian
............................... 10
2.2
Basis Sets
.............................................. 11
2.3
Self-consistent Field Equations
............................ 12
2.4
Unrestricted SCF Approximation
.......................... 18
2.5
Missing Features of the Independent-Electron Approximation
. 20
3
Homogeneous Electron Gas
................................ 25
3.1
Uncorrelated Electrons
................................... 26
3.2
Random-Phase Approximation
............................ 31
3.3
Wigner Crystal
.......................................... 34
4
Density Functional Theory
................................ 39
4.1
Theory of Hohenberg, Kohn and Sham
..................... 40
4.2
Local-Density Approximation and Extensions
............... 43
4.3
Strong Electron Correlations: LDA-t-U
..................... 47
4.4
The Energy Gap Problem
................................ 50
4.5
Time-Dependent DFT
................................... 53
5
Wavefunction-Based Methods
............................. 57
5.1
Method of Configuration Interactions
...................... 59
5.2
Cumulants
and their Properties
........................... 63
5.3
Ground-State Wavefunction and Energy
.................... 64
5.3.1
Method of Increments
.............................. 68
5.4
Different Approximation Schemes
.......................... 70
5.4.1
Partitioning and Projection Methods
................ 71
5.4.2
Coupled Cluster Method
........................... 72
5.4.3
Selection of Excitation Operators
.................... 75
5.4.4
Trial Wavefunctions
............................... 78
viii Contents
6
Correlated Ground-State Wavefunctions
................... 83
6.1
Semiconductors
......................................... 84
6.1.1
Model for Interatomic Correlations
.................. 84
6.1.2
Estimates of
Intra-
Atomic Correlations
............... 89
6.1.3
Ab Initio
Results
.................................. 90
6.2
Ionic and van
der Waals
Solids
............................ 93
6.2.1
Three Oxides: MgO, CaO and NiO
.................. 93
6.2.2
Rare-Gas Solids
................................... 96
6.3
Simple Metals
........................................... 97
6.4
Ground States with Strong Correlations: CASSCF
........... 99
7
Quasiparticle Excitations
..................................101
7.1
Single-particle Green s Function
...........................102
7.1.1
Perturbation Expansions
...........................106
7.1.2
Temperature Green s Function
......................
Ill
7.2
Quasiparticles in Metals
..................................117
7.3
Quasiparticles in Semiconductors and Insulators
.............123
7.3.1
Quasiparticle Approximation
.......................124
7.3.2
A Simple Model: Bond-Orbital Approximation
........126
7.3.3
Wavefunction-Based
Ab Inito
Calculations
............132
8
Incoherent Excitations
.....................................137
8.1
Projection Method
......................................138
8.2
An Example: Hubbard Model
.............................141
9
Coherent-Potential Approximations
........................145
9.1
Static Disorder
..........................................146
9.2
Dynamical Disorder: DMFT and Beyond
...................148
10
Strongly Correlated Electrons
.............................157
10.1
Measure of Correlation Strengths
..........................159
10.2
Indicators of Strong Correlations
..........................162
10.2.1
Low-Energy Scales: a Simple Model
..................163
10.2.2
Effective Hamiltonians
.............................167
10.3
Kondo Effect
...........................................168
10.4
The Hubbard Model Revisited
............................178
10.4.1
Spin-Density Wave Ground State
....................178
10.4.2
Gutzwiller s Ground-State Wavefunction
.............183
10.4.3
Hubbard s Approximations and their Extensions
......186
10.4.4
Kanamori Limit
...................................189
10.5
The t-J Model
..........................................191
10.6
Mean-Field Approximations
..............................207
10.6.1
Test of Different Approximation Schemes
.............212
10.7
Metal-Insulator Transitions
...............................220
10.8
Numerical Studies
.......................................224
Contents ix
10.9
Break-down of Fermi Liquid Description
....................231
10.9.1
Marginal Fermi Liquid Behavior
.....................232
10.9.2
Charged and Neutral Quasiparticles
.................234
10.9.3
Hubbard Chains
..................................235
10.9.4
Quantum Critical Point
............................239
11
Transition Metals
..........................................241
11.1
Ground-State Wavefunction
...............................242
11.2
Satellite Structures
......................................248
11.3
Temperature-Dependent Magnetism
.......................250
11.3.1
Local Spin Fluctuations
............................251
11.3.2
Long-Wavelength Spin Fluctuations
.................264
12
Transition-Metal Oxides
...................................281
12.1
Doped Charge-Transfer Systems: the Cuprates
..............282
12.1.1
Quasiparticle-like Excitations
.......................284
12.2
Orbital Ordering
........................................299
12.2.1
Manganites:
ЬаМпОз
and related Compounds
........307
12.2.2
Vanadates: LaVO3
.................................314
12.2.3
Ladder Systems: a -NaV^Os
........................314
12.2.4
Other Oxides
.....................................319
13
Heavy Quasiparticles
......................................321
13.1
Kondo Lattice Systems
...................................324
13.1.1
Renormalized Band Theory
.........................325
13.1.2
Large Versus Small Fermi Surface
...................333
13.1.3
Mean-Field Treatment
.............................336
13.2
Charge Ordering in Yb4As3: an Instructive Example
.........340
13.3
Partial Localization: Dual Role of 5f Electrons
..............348
13.4
Heavy
d
Electrons: LiV2O4
...............................355
14
Excitations with Fractional Charges
.......................363
14.1
Trans-Polyacetylene
......................................364
14.2
Fractional Quantum Hall Effect
...........................368
14.3
Correlated Electrons on Frustrated Lattices
.................375
14.3.1
Loop Models
......................................378
14.3.2
Dimer Models
.....................................386
14.3.3
Mapping to a U(l) Gauge Theory
...................390
14.3.4
Magnetic
Monopoles
...............................393
15
Superconductivity
.........................................399
15.1
The Superconducting State
...............................402
15.1.1
Pair States
.......................................405
15.1.2
BCS Ground State
................................410
15.2
Cooper Pair Breaking
....................................417
χ
Contents
15.2.1
Ergodic vs. Nonergodic Perturbations
................418
15.2.2
Pairing Electrons with Population Imbalance
.........423
15.3
Cooper Pairing without Phonons
..........................435
15.3.1
Filled Skutterudite PrOs4Sbi2
......................437
15.3.2
UPd2Al3: Pairing and Time-Reversal Symmetry
Breaking
.........................................440
15.4
Magnetic Resonances
....................................441
15.5
High-Tc Superconductors
.................................448
15.5.1
Suppression of Antiferromagnetic Order by Holes
......450
15.5.2
Pseudogap Regime
................................451
15.5.3
Strange Metal
.....................................454
15.5.4
Optical Properties:
Drude
Peak
.....................455
15.5.5
Pairing Interactions
................................460
15.5.6
Stripe Formation
..................................467
A Some Relations for
Cumulants
.............................473
В
Scattering Matrix in Single-Centre and Two-Centre
Approximation
............................................475
С
Intra-atomic Correlations in
а С
Atom
....................479
D
Landau Parameter: Quasiparticle Mass
....................481
E Kondo
Lattices: Quasiparticle Interactions
.................483
F Lanczos
Method
...........................................485
G
Density Matrix Renormalization Group
...................489
H
Monte Carlo Methods
.....................................497
H.
1
Sampling Techniques
.....................................498
H.2 Ground-State Energy
....................................500
I Computing the Memory Function by Increments
..........505
J
Kagome Lattice at
1/3
Filling
.............................507
References
.....................................................509
Index
..........................................................525
Correlated Electrons
in Quantum Matter
An understanding of the effects of electronic correlations in
quantum systems is one of the most challenging problems
in physics, partly due to the relevance in modern high
technology. Yet there exist hardly any books on the subject
which try to give a comprehensive overview on the field
covering insulators, semiconductors, as well as metals. The
present book tries to fill that gap.
It intends to provide graduate students and researchers a
comprehensive survey of electron correlations, weak and
strong, in insulators, semiconductors and metals. This topic
is a central one in condensed matter and beyond that in
theoretical physics.The reader will havea better understanding
of the great progress which has been made in the field over
the past few decades.
|
| any_adam_object | 1 |
| author | Fulde, Peter 1936-2024 |
| author_GND | (DE-588)133937097 |
| author_facet | Fulde, Peter 1936-2024 |
| author_role | aut |
| author_sort | Fulde, Peter 1936-2024 |
| author_variant | p f pf |
| building | Verbundindex |
| bvnumber | BV040539226 |
| classification_rvk | UP 3600 |
| classification_tum | PHY 660f |
| ctrlnum | (OCoLC)801757316 (DE-599)GBV717447049 |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV040539226 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:26:04Z |
| institution | BVB |
| isbn | 9789814390927 9789814390910 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025385174 |
| oclc_num | 801757316 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-384 DE-29T DE-188 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-384 DE-29T DE-188 |
| physical | XIII, 535 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | World Scientific Publ. |
| record_format | marc |
| spelling | Fulde, Peter 1936-2024 Verfasser (DE-588)133937097 aut Correlated electrons in quantum matter Peter Fulde Singapore [u.a.] World Scientific Publ. 2012 XIII, 535 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Elektronenkorrelation (DE-588)4210527-4 gnd rswk-swf Übergangsmetalloxide (DE-588)4186583-2 gnd rswk-swf Wellenfunktion (DE-588)4189547-2 gnd rswk-swf Supraleiter (DE-588)4184140-2 gnd rswk-swf Elektronenkorrelation (DE-588)4210527-4 s Übergangsmetalloxide (DE-588)4186583-2 s Supraleiter (DE-588)4184140-2 s Wellenfunktion (DE-588)4189547-2 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025385174&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025385174&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Fulde, Peter 1936-2024 Correlated electrons in quantum matter Elektronenkorrelation (DE-588)4210527-4 gnd Übergangsmetalloxide (DE-588)4186583-2 gnd Wellenfunktion (DE-588)4189547-2 gnd Supraleiter (DE-588)4184140-2 gnd |
| subject_GND | (DE-588)4210527-4 (DE-588)4186583-2 (DE-588)4189547-2 (DE-588)4184140-2 |
| title | Correlated electrons in quantum matter |
| title_auth | Correlated electrons in quantum matter |
| title_exact_search | Correlated electrons in quantum matter |
| title_full | Correlated electrons in quantum matter Peter Fulde |
| title_fullStr | Correlated electrons in quantum matter Peter Fulde |
| title_full_unstemmed | Correlated electrons in quantum matter Peter Fulde |
| title_short | Correlated electrons in quantum matter |
| title_sort | correlated electrons in quantum matter |
| topic | Elektronenkorrelation (DE-588)4210527-4 gnd Übergangsmetalloxide (DE-588)4186583-2 gnd Wellenfunktion (DE-588)4189547-2 gnd Supraleiter (DE-588)4184140-2 gnd |
| topic_facet | Elektronenkorrelation Übergangsmetalloxide Wellenfunktion Supraleiter |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025385174&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025385174&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT fuldepeter correlatedelectronsinquantummatter |