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
2008
|
| Ausgabe: | Reprinted |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XV, 317 S. graph. Darst. |
| ISBN: | 1860940803 1860940781 9781860940781 9781860940804 |
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| 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 |
| 250 | |a Reprinted | ||
| 264 | 1 | |a London |b Imperial College Press |c 2008 | |
| 300 | |a XV, 317 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804142913853063168 |
|---|---|
| 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
v¡
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
CHAPTERS 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
6
THE INTERACTING ELECTRON GAS
. . . .123
6.1
The Hartree-Fock approximation
. . . . . .124
6.2
Calculation of the exchange contribution to the grouiid 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? THE MAGNETIC INSTABILITY OF THE INTERACTING
ELECTRONGAS
........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.W-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
CHAPTERS INTERACTING ELECTRONS IN THE ATOMIC LIMIT
. 18*
8.1
The atomic limit of the Hubbard model
.....
I85
8.2
The transition between the atomic limit and the band limit
. 187
8.3
The insulating magnet
........ 189
Contants
vii
CHAPTER
9
TRANSIENT RESPONSE OF THE FERMI GAS —THE
X-RAY AND RONDO 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
Rondo effect
......... 212
9.5
Temperature-dependent electrical resistivity due to a magnetic
impurity
.......... 215
CHAPTER
10
SUPERCONDUCTIVITY
....... 220
10.1
Thè
Cooper pair instability of the
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
CHAPTER
12
HIGH
Tř
SUPERCONDUCTIVITY
..... 259
12.0
Introduction
......... 259
12.1
Effective Hamiltonian for the cuprate compounds
. . . 259
12.2
Effects of correlations in the CuOg planes
.... 263
12.3
Projection to a One Band Model: the Hubbard and
( -
J
Models
267
12.4
Superconductivity in the Cuprates: the d-wave BCS
Stote
. . 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
GREEN S FUNCTIONS FOR SOLID STATE PHYSICISTS
A Reprint Volume with Additional Material on the Physics of Correlated Election Systems
Green s functions for Solid State Physicists has helped introduce several generations of
condensed matter physics graduate students to the very powerful ideas of quantum many body
theory and
sume
of their applications, particularly those in the physics of itinerant magnetism
and superconductivity. It is pedagogical in philosophy, and is based on the idea of leading the
reader to understanding sophisticated formalism through the study of simple examples which
demónstrale
the formal points. In the reprint edition, two new chapters have been added to the
original text to provide an introduction to the recent developments in the physics of correlated
electron systems and. in particular, of high
-
Г.
superconductivity.
Sebastian
Doniach
is a Professor of Applied Physics and Physics at Stanford University. He
was founding Director of the Stanford Synchrotron Radiation Laboratory from
1973
to
1978.
He received the B. A. degree in Mathematics from Christ s College. Cambridge. England, and
the Ph. D. in Theoretical Physics from Liverpool University. He has published extensively in
theoretical condensed matter physics and more recently in experimental and theoretical biophysics.
Ernst Sondheimer was born in Stuttgart. Germany, and has lived in England since
1936.
He
studied physics at the University of Cambridge and started research after World War II under
A. H. Wilson. In
1948
he was elected to a Research Fellowship at Trinity College. Cambridge,
and since
1951
he has been teaching in the University of London. He was Head of the Department
of Mathematics at Westfield College. University of London and is now Professor (Emeritus).
Professor Sondheimer has held
v
¡siting appointments at the Univ ersitv of Bristol, the Massachusetts
Institute of Technology, the University of Illinois, and the University of Cologne. He has published
a number of research papers on the electrical and magnetic properties of metals
Imperial College Press
P067 sc
IS8N-13
978-1
-86094-08<H(pbk)
ISBN-10
і-ббОМ-ОвО-ЗІрЬк)
www.icpress.co.uk
|
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| author | Doniach, Sebastian Sondheimer, Ernst H. 1923-1973 |
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| discipline | Physik |
| edition | Reprinted |
| format | Book |
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| id | DE-604.BV036434503 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:39:19Z |
| institution | BVB |
| isbn | 1860940803 1860940781 9781860940781 9781860940804 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020307004 |
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| physical | XV, 317 S. graph. Darst. |
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| publisher | Imperial College Press |
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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 Reprinted London Imperial College Press 2008 XV, 317 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 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 Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020307004&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=020307004&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| 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 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 | Green-Funktion (DE-588)4158123-4 gnd Festkörperphysik (DE-588)4016921-2 gnd |
| topic_facet | Green-Funktion Festkörperphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020307004&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=020307004&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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