Green's functions for solid state physicists: a reprint volume with additional material on the physics of correlated electron systems
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London
Imperial College Press
1998
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 317 S. graph. Darst. |
| ISBN: | 1860940803 1860940781 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV012112275 | ||
| 003 | DE-604 | ||
| 005 | 19990126 | ||
| 007 | t | ||
| 008 | 980818s1998 d||| |||| 00||| eng d | ||
| 020 | |a 1860940803 |9 1-86094-080-3 | ||
| 020 | |a 1860940781 |9 1-86094-078-1 | ||
| 035 | |a (OCoLC)219961453 | ||
| 035 | |a (DE-599)BVBBV012112275 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-703 |a DE-29T |a DE-355 |a DE-634 |a DE-83 | ||
| 050 | 0 | |a QC176 | |
| 082 | 0 | |a 530.4/1 |2 21 | |
| 084 | |a UP 1300 |0 (DE-625)146346: |2 rvk | ||
| 084 | |a 81Txx |2 msc | ||
| 084 | |a 82B20 |2 msc | ||
| 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 |
| 689 | 0 | 0 | |a Green-Funktion |0 (DE-588)4158123-4 |D s |
| 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 | ||
Record in the Search Index
| _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 |
| author_GND | (DE-588)15108887X (DE-588)1013073231 |
| author_facet | Doniach, Sebastian Sondheimer, Ernst H. 1923-1973 |
| author_role | aut aut |
| author_sort | Doniach, Sebastian |
| author_variant | s d sd e h s eh ehs |
| building | Verbundindex |
| bvnumber | BV012112275 |
| callnumber-first | Q - Science |
| callnumber-label | QC176 |
| callnumber-raw | QC176 |
| callnumber-search | QC176 |
| callnumber-sort | QC 3176 |
| callnumber-subject | QC - Physics |
| classification_rvk | UP 1300 |
| ctrlnum | (OCoLC)219961453 (DE-599)BVBBV012112275 |
| dewey-full | 530.4/1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/1 |
| dewey-search | 530.4/1 |
| dewey-sort | 3530.4 11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01793nam a2200445 c 4500</leader><controlfield tag="001">BV012112275</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19990126 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">980818s1998 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1860940803</subfield><subfield code="9">1-86094-080-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1860940781</subfield><subfield code="9">1-86094-078-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)219961453</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012112275</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC176</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.4/1</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UP 1300</subfield><subfield code="0">(DE-625)146346:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">81Txx</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">82B20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Doniach, Sebastian</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)15108887X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Green's functions for solid state physicists</subfield><subfield code="b">a reprint volume with additional material on the physics of correlated electron systems</subfield><subfield code="c">S. Doniach ; E. H. Sondheimer</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Imperial College Press</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 317 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Green's functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Solid state physics</subfield><subfield code="x">Mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Green-Funktion</subfield><subfield code="0">(DE-588)4158123-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Festkörperphysik</subfield><subfield code="0">(DE-588)4016921-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Green-Funktion</subfield><subfield code="0">(DE-588)4158123-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Festkörperphysik</subfield><subfield code="0">(DE-588)4016921-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Sondheimer, Ernst H.</subfield><subfield code="d">1923-1973</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1013073231</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008201217</subfield></datafield></record></collection> |
| id | DE-604.BV012112275 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:21:53Z |
| institution | BVB |
| isbn | 1860940803 1860940781 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008201217 |
| oclc_num | 219961453 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-29T DE-355 DE-BY-UBR DE-634 DE-83 |
| owner_facet | DE-20 DE-703 DE-29T DE-355 DE-BY-UBR DE-634 DE-83 |
| physical | XV, 317 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Imperial College Press |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT doniachsebastian greensfunctionsforsolidstatephysicistsareprintvolumewithadditionalmaterialonthephysicsofcorrelatedelectronsystems AT sondheimerernsth greensfunctionsforsolidstatephysicistsareprintvolumewithadditionalmaterialonthephysicsofcorrelatedelectronsystems |