Field theories for low dimensional condensed matter systems: spin systems and strongly correlated electrons
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2000
|
| Series: | Springer series in solid-state sciences
131 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Physical Description: | XII, 275 S. graph. Darst. |
| ISBN: | 3540671773 |
Staff View
MARC
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| 245 | 1 | 0 | |a Field theories for low dimensional condensed matter systems |b spin systems and strongly correlated electrons |c Giuseppe Morandi ... (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a XII, 275 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Springer series in solid-state sciences |v 131 | |
| 650 | 4 | |a Kondensierte Materie - Niederdimensionales System - Quantenfeldtheorie - Kongress | |
| 650 | 4 | |a Condensed matter | |
| 650 | 4 | |a Field theory (Physics) | |
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| 830 | 0 | |a Springer series in solid-state sciences |v 131 |w (DE-604)BV000016582 |9 131 | |
| 856 | 4 | 2 | |u https://www.gbv.de/dms/bowker/toc/9783540671770.pdf |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1807772838841548800 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
GIUSEPPE
MORANDI,
PASQUALE
SODANO,
ARTURO
TAGLIACOZZO,
AND
VALERIO
TOGNETTI
.
1
REFERENCES
.
5
2
FERMI
LIQUIDS
AND
LUTTINGER
LIQUIDS
HEINZ
J.
SCHULZ,
GIANAURELIO
CUNIBERTI,
AND
PIERBIAGIO
PIERI
.
9
2.1
INTRODUCTION
.
9
2.2
FERMI
LIQUIDS
.
9
2.2.1
THE
FERMI
GAS
.
10
2.2.2
LANDAU
'
S
THEORY
OF
FERMI
LIQUIDS
.
12
2.2.3
MICROSCOPIC
BASIS
OF
LANDAU
'
S
THEORY
.
17
2.2.4
SUMMARY
.
21
2.3
RENORMALIZATION
GROUP
FOR
INTERACTING
FERMIONS
.
22
2.3.1
ONE
DIMENSION
.
23
2.3.2
TWO
AND
THREE
DIMENSIONS
.
28
2.4
BOSONIZATION
AND
THE
LUTTINGER
LIQUID
.
32
2.4.1
SPINLESS
MODEL:
REPRESENTATION
OF
EXCITATIONS
.
32
2.4.2
MODEL
WITH
SPIN:
THE
CONCEPT
OF
THE
LUTTINGER
LIQUID
.
39
2.4.3
SUMMARY
.
47
2.5
APPLICATIONS
.
47
2.5.1
TRANSPORT
.
48
2.5.2
DISORDER
.
53
2.5.3
THE
SPIN-1/2
CHAIN
AS
A
LUTTINGER
LIQUID
.
59
2.6
SPIN
LADDERS
AND
COUPLED
LUTTINGER
LIQUIDS
.
69
2.6.1
COUPLED
SPIN
CHAINS
.
69
2.6.2
TWO
COUPLED
LUTTINGER
LIQUIDS
.
71
2.6.3
SUMMARY
.
74
APPENDIX:
WHEN
TO
BOSONIZE
IN
PEACE
.
75
REFERENCES
.
77
VIII
CONTENTS
3
QUANTUM
NUMBER
FRACTIONALIZATION
IN
ANTIFERROMAGNETS
ROBERT
B.
LAUGHLIN,
DOMENICO
GIULIANO,
RAFFAELE
CARACCIOLO,
AND
OLIVIA
L.
WHITE
.
83
3.1
INTRODUCTION
.
83
3.2
HALDANE-SHASTRY
HAMILTONIAN
.
84
3.3
GROUND
STATE
.
85
3.4
SPINOUS
.
90
3.5
ANNIHILATION
OPERATORS
.
98
3.6
SPIN
CURRENT
.
102
3.7
SUPERSYMMETRY
.
104
3.8
HOLONS
.
106
APPENDIX
A:
FOURIER
SUMS
.
ILL
APPENDIX
B:
PROBLEMS
.
112
REFERENCES
.
115
4
CONFORMAL
FIELD
THEORY
APPROACH
TO
QUANTUM
IMPURITY
PROBLEMS
IAN
AFFLECK
.
117
4.1
OLD
RESULTS
ON
THE
KONDO
PROBLEM
.
117
4.1.1
REDUCTION
TO
ID
.
118
4.1.2
PERTURBATIVE
RG
.
119
4.1.3
LOCAL
FERMI
LIQUID
THEORY
.
120
4.2
SOME
BASIC
CONFORMAL
FIELD
THEORY/LUTTINGER
LIQUID
TECHNIQUES
.
124
4.3
CFT
APPROACH
TO
THE
KONDO
PROBLEM
.
132
4.3.1
CURRENT
ALGEBRA
FORMULATION
AND
THE
INFRARED
FIXED
POINT
.
132
4.3.2
BCFT
AND
THE
MULTI-CHANNEL
KONDO
PROBLEM
.
136
REFERENCES
.
141
5
QUANTUM
MAGNETISM
APPROACHES
TO
STRONGLY
CORRELATED
ELECTRONS
ASSA
AUERBACH,
FEDERICO
BERRUTO,
AND
LUCA
CAPRIOTTI
.
143
5.1
DERIVING
THE
EFFECTIVE
HAMILTONIAN
.
143
5.1.1
TWO-SITE
HUBBARD
MODEL
.
144
5.1.2
RENORMALIZATION
TO
LOW
ENERGY
SUBSPACE
.
145
5.1.3
FROM
HUBBARD
TO
T
-
J
AND
HEISENBERG
MODELS
.
147
5.1.4
THE
NEGATIVE-17
HUBBARD
MODEL
.
149
5.2
QUANTUM
MAGNETISM
.
150
5.2.1
SPIN
COHERENT
STATES
.
150
5.2.2
SPIN
PATH
INTEGRAL
.
151
5.2.3
SPIN
WAVE
THEORY
.
153
5.2.4
CONTINUUM
THEORY
FOR
ANISOTROPIC
MODELS
.
155
5.2.5
ANISOTROPIC
QUANTUM
ROTATORS
.
157
5.2.6
HALDANE
'
S
MAPPING
.
159
5.2.7
SPIN
LIQUID
STATES
.
160
CONTENTS
IX
5.3
PSEUDOSPINS
AND
SUPERCONDUCTIVITY
.
161
5.3.1
CHARGE
DENSITY
WAVE
TO
SUPERCONDUCTIVITY
.
162
5.3.2
ORDER
OF
TRANSITION
FROM
ROTATOR
THEORY
.
163
5.3.3
SO(5)
ROTATOR
THEORY
AND
HIGH-T
C
SUPERCONDUCTORS
.
165
5.3.4
VORTEX
DYNAMICS
IN
SUPERFLUIDS
.
167
REFERENCES
.
170
6
INTRODUCTION
TO
SOME
COMMON
TOPICS
IN
GAUGE
THEORY
AND
SPIN
SYSTEMS
GIANLUCA
GRIGNANI
AND
GORDON
W.
SEMENOFF
.
171
6.1
OVERVIEW
.
171
6.2
WHAT
IS
A
GAUGE
THEORY?
.
173
6.2.1
ELECTRODYNAMICS
.
174
6.2.2
GEOMETRY
.
180
6.2.3
SCHRODINGER
EQUATION
FOR
A
CHARGED
PARTICLE
.
183
6.2.4
BOHM-AHARONOV
PHASE
.
185
6.2.5
CLASSICAL
YANG-MILLS
THEORY
.
186
6.3
RELATIVISTIC
FERMIONS
.
191
6.3.1
1+1
DIMENSIONS
.
195
6.3.2
2+1
DIMENSIONS
.
198
6.3.3
3+1
DIMENSIONS
.
200
6.4
QUANTIZED
YANG-MILLS
THEORY
.
202
6.4.1
CANONICAL
QUANTIZATION
OF
ELECTRODYNAMICS
.
207
6.4.2
PATH
INTEGRALS
.
209
6.5
QUANTUM
SPINS
AND
STRONG
COUPLING
IN
GAUGE
THEORY
.
211
6.5.1
OVERVIEW
OF
THE
PROBLEM
.
211
6.6
STAGGERED
FERMIONS
.
216
6.7
STRONG
COUPLING
LATTICE
GAUGE
THEORY
.
220
6.7.1
HAMILTONIAN
FORMULATION
OF
LATTICE
GAUGE
THEORY
.
220
6.7.2
STRONG
COUPLING
.
222
6.8
RESULTS
ON
STRONG
COUPLING
.
228
REFERENCES
.
231
7
QUANTUM
CHAOS
AND
TRANSPORT
IN
MESOSCOPIC
SYSTEMS
BORIS
L.
ALTSHULER,
CRISTIANO
BIAGINI,
AND
MARCO
PATRIARCA
.
235
7.1
THE
DIMENSIONLESS
CONDUCTANCE
G
.
235
7.2
QUANTUM
CHAOS
.
236
7.2.1
BEYOND
RANDOM
MATRIX
THEORY
.
241
7.2.2
FROM
DISORDERED
TO
CHAOTIC
SYSTEMS
.
244
7.3
QUANTUM
DOTS
.
249
7.3.1
SPECTROSCOPY
.
249
7.3.2
ORTHODOX
THEORY
.
251
7.3.3
OD
HAMILTONIAN
.
254
7.4
QUASIPARTICLE
LIFETIME
IN
A
FINITE
SYSTEM
.
257
X
CONTENTS
7.4.1
TRANSITION
REGION
.
261
REFERENCES
.
267
INDEX
.
271 |
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| genre | (DE-588)1071861417 Konferenzschrift 1997 Chia Laguna gnd-content |
| genre_facet | Konferenzschrift 1997 Chia Laguna |
| id | DE-604.BV013073407 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:15:25Z |
| institution | BVB |
| isbn | 3540671773 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008907597 |
| oclc_num | 247526264 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-19 DE-BY-UBM DE-384 DE-91G DE-BY-TUM DE-20 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-703 DE-29T DE-19 DE-BY-UBM DE-384 DE-91G DE-BY-TUM DE-20 DE-634 DE-83 DE-11 DE-188 |
| physical | XII, 275 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in solid-state sciences |
| series2 | Springer series in solid-state sciences |
| spelling | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons Giuseppe Morandi ... (ed.) Berlin [u.a.] Springer 2000 XII, 275 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in solid-state sciences 131 Kondensierte Materie - Niederdimensionales System - Quantenfeldtheorie - Kongress Condensed matter Field theory (Physics) Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Niederdimensionales System (DE-588)4202325-7 gnd rswk-swf Kondensierte Materie (DE-588)4132810-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1997 Chia Laguna gnd-content Kondensierte Materie (DE-588)4132810-3 s Niederdimensionales System (DE-588)4202325-7 s Quantenfeldtheorie (DE-588)4047984-5 s DE-604 Morandi, Giuseppe 1940- (DE-588)121750787 edt Erscheint auch als Online-Ausgabe 978-3-662-04273-1 Springer series in solid-state sciences 131 (DE-604)BV000016582 131 https://www.gbv.de/dms/bowker/toc/9783540671770.pdf Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008907597&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons Springer series in solid-state sciences Kondensierte Materie - Niederdimensionales System - Quantenfeldtheorie - Kongress Condensed matter Field theory (Physics) Quantenfeldtheorie (DE-588)4047984-5 gnd Niederdimensionales System (DE-588)4202325-7 gnd Kondensierte Materie (DE-588)4132810-3 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4202325-7 (DE-588)4132810-3 (DE-588)1071861417 |
| title | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons |
| title_auth | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons |
| title_exact_search | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons |
| title_full | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons Giuseppe Morandi ... (ed.) |
| title_fullStr | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons Giuseppe Morandi ... (ed.) |
| title_full_unstemmed | Field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons Giuseppe Morandi ... (ed.) |
| title_short | Field theories for low dimensional condensed matter systems |
| title_sort | field theories for low dimensional condensed matter systems spin systems and strongly correlated electrons |
| title_sub | spin systems and strongly correlated electrons |
| topic | Kondensierte Materie - Niederdimensionales System - Quantenfeldtheorie - Kongress Condensed matter Field theory (Physics) Quantenfeldtheorie (DE-588)4047984-5 gnd Niederdimensionales System (DE-588)4202325-7 gnd Kondensierte Materie (DE-588)4132810-3 gnd |
| topic_facet | Kondensierte Materie - Niederdimensionales System - Quantenfeldtheorie - Kongress Condensed matter Field theory (Physics) Quantenfeldtheorie Niederdimensionales System Kondensierte Materie Konferenzschrift 1997 Chia Laguna |
| url | https://www.gbv.de/dms/bowker/toc/9783540671770.pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008907597&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016582 |
| work_keys_str_mv | AT morandigiuseppe fieldtheoriesforlowdimensionalcondensedmattersystemsspinsystemsandstronglycorrelatedelectrons |
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