Green's functions for solid state physicists: a reprint volume with additional material on the physics of correlated electron systems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 317 S. graph. Darst. |
| ISBN: | 1860940803 1860940781 |
Internformat
MARC
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| 100 | 1 | |a Doniach, Sebastian |e Verfasser |0 (DE-588)15108887X |4 aut | |
| 245 | 1 | 0 | |a Green's functions for solid state physicists |b a reprint volume with additional material on the physics of correlated electron systems |c S. Doniach ; E. H. Sondheimer |
| 264 | 1 | |a London |b Imperial College Press |c 1998 | |
| 300 | |a XV, 317 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Green's functions | |
| 650 | 4 | |a Solid state physics |x Mathematics | |
| 650 | 0 | 7 | |a Green-Funktion |0 (DE-588)4158123-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Festkörperphysik |0 (DE-588)4016921-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Festkörperphysik |0 (DE-588)4016921-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Sondheimer, Ernst H. |d 1923-1973 |e Verfasser |0 (DE-588)1013073231 |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008201217&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008201217 | ||
Datensatz im Suchindex
| _version_ | 1804126716778512384 |
|---|---|
| adam_text | Contents
PREFACE
TO THE IMPERIAL
COLLEGE PRESS EDITION ... ix
PREFACE............
xi
INTRODUCTION: THE THEORY OF
CONDENSED MATTER . . . xiii
CHAPTER
1
LATTICE DYNAMICS IN THE HARMONIC
APPROXIMATION
........ 1
1.1
The ground state energy
....... 2
1.2
The ground state energy as an integral over coupling constant
. 6
1.3
The neutron scattering cross-section
..... 7
1.4
The Green s function and its equation of motion
... 10
1.5
The iteration solution of
G
. . . . . . . 15
1.6
Summation of the iteration series
...... 20
1.7
Calculation of the ground state energy and the neutron cross-
section in terms of the phonon Green s function
... 25
CHAPTER
2
LATTICE DYNAMICS AT FINITE TEMPERATURES
. . 29
2.1
The free energy in the harmonic approximation
... 30
2.2
The phonon temperature Green s function
.... 34
2.3
The real-time Green s function and neutron scattering at finite
temperatures
. ........ 41
CHAPTERS THE FEYNMAN-DYSON EXPANSION
.... 45
3.1
Zero-temperature theory , general formalism
.... 47
3.2
Evaluation of the phonon Green s function at T—
0
by
Feynman-Dyson perturbation theory
..... 54
3.3
The Feynman-Dyson expansion at finite temperatures
. . 60
3.4
Direct evaluation of the free energy by Feynman-Dyson
perturbation theory
........ 64
CHAPTER
4
THE SCATTERING OF
FERMIONS
BY A LOCALIZED
PERTURBATION
........ 68
4.1
Scattering of a single electron
...... 69
4.2
Formulating of the many-electron scattering problem in terms
of fermion creation and annihilation operators
... 71
4.3
Single-electron Green s function
...... 73
vi
Contents
4.4
Closed solution for short-range potential
78
4.5
The Friedel sum rule
. . . . . . . . 81
4.6
Many-electron formulation of the Friedel sum rule
... 85
4.7
Effect of impurities on thermodynamic properties of the
electron gas
......... 90
CHAPTER
5
ELECTRONS IN THE PRESENCE OF MANY IMPURITIES
—
THE THEORY OF ELECTRICAL RESISTANCE IN
METALS
......... 96
5.1
The physics of irreversible behavior
..... 96
5.2
One-electron Green s function in a many-impurity system
98
5.3
Dyson s equation
......... 103
5.4
One-electron Green s function in low-density weak scattering
approximation
. . . . . . . . .104
5.5
Theory of electrical conductivity—linear response formulation
. 109
5.6
Evaluation of the
Kubo
formula for the many-impurity problem
. 113
5.7
Solution of the integral equation for the response function
. 117
CHAPTER
б
THE INTERACTING ELECTRON GAS
. . . .123
6.1
The Hartree-Fock approximation
. . . . . .124
6.2
Calculation of the exchange contribution to the ground state
energy of the electron gas
....... 130
6.3
Derivation of the Hartree-Fock approximation from a
perturbation expansion of
G
. . . . . . . 132
6.4
The dielectric response function of a dense electron gas
. . 141
6.5
The particle-hole Green s function and the random phase
approximation for the dielectric response
.... 144
6.6
The r.p.a calculation of the correlation energy
.... 152
CHAPTER
7
THE MAGNETIC INSTABILITY OF THE INTERACTING
ELECTRON GAS
........ 157
7.1
The Hubbard model
........ 158
7.2
The
Kubo
formula for the susceptibility tensor
. . . 160
7.3
Evaluation of the susceptibility in the r.p.a
. . . .162
7.4
The instability criterion
....... 165
7.5
Neutron scattering and the q,ft)-dependent generalized
susceptibility function
........ 168
7.6
Paramagnon contribution to low-temperature specific heat
. 171
7.7
The ferromagnetic state
....... 173
7.8
Localized magnetic states in metals
...... 176
CHAPTER
8
INTERACTING ELECTRONS IN THE ATOMIC LIMIT
. 184
8.1
The atomic limit of the Hubbard model
..... 185
8.2
The transition between the atomic limit and the band limit
. 187
8.3
The insulating magnet
........ 189
Contents
vii
CHAPTER
9
TRANSIENT RESPONSE OF THE FERMI GAS
—
THE
X-RAY AND KONDO PROBLEMS
..... 198
9.1
The x-ray singularity seen in photoemission
.... 200
9.2
The nature of the x-ray singularity
...... 203
9.3
The edge singularity in soft x-ray absorption and emission
experiments
......... 208
9.4
Atomic limit for localized magnetic moments in metals
—
the
Kondo effect
......... 212
9.5
Temperature-dependent electrical resistivity due to a magnetic
impurity
.......... 215
CHAPTER
10
SUPERCONDUCTIVITY
....... 220
10.1
The Cooper pair instability of die
fermi gas
.... 220
10.2
The superconducting instability at finite temperatures
. . 222
10.3
The superconducting ground state
...... 228
CHAPTER
11
STRONG CORRELATED ELECTRON SYSTEMS: HEAVY
FERMIONS;
THE 1-DIMENSIONAL ELECTRON GAS
. . 235
11.1
Heavy
Fermions
and Slave Bosons
...... 235
11.2
The Single Impurity Case
....... 238
11.3
The physical electron propagator expressed in terms of the
pseudo-Fermion Green s function
...... 242
11.4
Instabilities of heavy fermion systems: antiferromagnetic and
superconducting states
........ 244
11.5
Strong correlations in the one-dimensional electron gas:
spinons and holons
........ 250
CHAPTERS mGH Tc SUPERCONDUCTIVITY
..... 259
12.0
Introduction
......... 259
12.1
Effective Hamiltonian for the cuprate compounds
. . . 259
12.2
Effects of correlations in the CuO2 planes
.... 263
12.3
Projection to a One Band Model: the Hubbard and
t- J
Models
267
12.4
Superconductivity in the Cuprates: the d-wave BCS State
. . 269
12.5
Strong Correlation Effects in 2-D Fermi Systems
. . . 275
APPENDIX
1
SECOND QUANTIZATION FOR
FERMIONS
AND
BOSONS
......... 283
APPENDIX
2
TIME CORRELATION FUNCTIONS AND GREEN S
FUNCTIONS
......... 290
BIBLIOGRAPHY
........... 296
HISTORICAL NOTE ON GEORGE GREEN
...... 309
INDEX
............ 312
|
| any_adam_object | 1 |
| author | Doniach, Sebastian Sondheimer, Ernst H. 1923-1973 |
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| discipline | Physik |
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| id | DE-604.BV012112275 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:21:53Z |
| institution | BVB |
| isbn | 1860940803 1860940781 |
| language | English |
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| physical | XV, 317 S. graph. Darst. |
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| spelling | Doniach, Sebastian Verfasser (DE-588)15108887X aut Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems S. Doniach ; E. H. Sondheimer London Imperial College Press 1998 XV, 317 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Green's functions Solid state physics Mathematics Green-Funktion (DE-588)4158123-4 gnd rswk-swf Festkörperphysik (DE-588)4016921-2 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s Festkörperphysik (DE-588)4016921-2 s DE-604 Sondheimer, Ernst H. 1923-1973 Verfasser (DE-588)1013073231 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008201217&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Doniach, Sebastian Sondheimer, Ernst H. 1923-1973 Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems Mathematik Green's functions Solid state physics Mathematics Green-Funktion (DE-588)4158123-4 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| subject_GND | (DE-588)4158123-4 (DE-588)4016921-2 |
| title | Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems |
| title_auth | Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems |
| title_exact_search | Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems |
| title_full | Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems S. Doniach ; E. H. Sondheimer |
| title_fullStr | Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems S. Doniach ; E. H. Sondheimer |
| title_full_unstemmed | Green's functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems S. Doniach ; E. H. Sondheimer |
| title_short | Green's functions for solid state physicists |
| title_sort | green s functions for solid state physicists a reprint volume with additional material on the physics of correlated electron systems |
| title_sub | a reprint volume with additional material on the physics of correlated electron systems |
| topic | Mathematik Green's functions Solid state physics Mathematics Green-Funktion (DE-588)4158123-4 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| topic_facet | Mathematik Green's functions Solid state physics Mathematics Green-Funktion Festkörperphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008201217&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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