Field Theories for Low-Dimensional Condensed Matter Systems: Spin Systems and Strongly Correlated Electrons

כריכה קדמית
Guiseppe Morandi, Pasquale Sodano, Arturo Tagliacozzo, Valerio Tognetti
Springer Science & Business Media, 26 ביולי 2000 - 275 עמודים
This book is especially addressed to young researchers in theoretical physics with a basic background in Field Theory and Condensed Matter Physics. The topics were chosen so as to offer the largest possible overlap between the two expertises, selecting a few key problems in Condensed Matter Theory which have been recently revisited within a field-theoretic approach. The presentation of the material is aimed not only at providing the reader with an overview of this exciting frontier area of modern theoretical physics, but also at elucidating most of the tools needed for a technical comprehen sion of the many papers appearing in current issues of physics journals and, hopefully, to enable the reader to tackle research problems in this area of physics. This makes the material a live creature: while not pretending it to be exhaustive, it is tutorial enough to be useful to young researchers as a starting point in anyone of the topics covered in the book.
 

מה אומרים אנשים - כתיבת ביקורת

לא מצאנו ביקורות במקומות הרגילים

תוכן

1 Introduction
1
References
5
2 Fermi Liquids and Luttinger Liquids
9
221 The Fermi Gas
10
222 Landaus Theory of Fermi Liquids
12
223 Microscopic Basis of Landaus Theory
17
224 Summary
21
23 Renormalization Group for Interacting Fermions
22
52 Quantum Magnetism
150
522 Spin Path Integral
151
523 Spin Wave Theory
153
524 Continuum Theory for Anisotropic Models
155
525 Anisotropic Quantum Rotators
157
526 Haldancs Mapping
159
527 Spin Liquid States
160
53 Pseudospins and Superconductivity
161

231 One Dimension
23
232 Two and Three Dimensions
28
24 Bosonization and the Luttinger Liquid
32
the Concept of the Luttinger Liquid
39
243 Summary
47
251 Transport
48
252 Disorder
53
253 The Spin12 Chain as a Luttinger Liquid
59
26 Spin Ladders and Coupled Luttinger Liquids
69
262 Two Coupled Luttinger Liquids
71
263 Summary
74
When to Bosonize in Peace
75
References
77
Quantum Number Fractionalization in Antiferromagnets
83
32 HaldaneShastry Hamiltonian
84
33 Ground State
85
34 Spinons
90
35 Annihilation Operators
98
36 Spin Current
102
37 Supersymmetry
104
38 Holons
106
Fourier Sums
111
Problems
112
References
115
Conformal Field Theory Approach to Quantum Impurity Problems
117
411 Reduction to ID
118
412 Perturbative RG
119
413 Local Fermi Liquid Theory
120
42 Some Basic Conformal Field Theory Luttinger Liquid Techniques
124
43 CFT Approach to the Kondo Problem
132
432 BCFT and the MultiChannel Kondo Problem
136
References
141
5 Quantum Magnetism Approaches to Strongly Correlated Electrons
143
511 TwoSite Hubbard Model
144
512 Renormalization to Low Energy Subspace
145
513 From Hubbard to t J and Heisenberg Models
147
514 The Negative Hubbard Model
149
531 Charge Density Wave to Superconductivity
162
532 Order of Transition from Rotator Theory
163
533 SO5 Rotator Theory and HighTc Superconductors
165
534 Vortex Dynamics in Superfluids
167
References
170
Introduction to Some Common Topics in Gauge Theory and Spin Systems
171
62 What Is a Gauge Theory?
173
621 Electrodynamics
174
622 Geometry
180
623 Schrodinger Equation for a Charged Particle
183
624 BohmAharonov Phase
185
625 Classical YangMills Theory
186
63 Relativistic Fermions
191
631 1 + 1 Dimensions
195
632 2+1 Dimensions
198
633 3+1 Dimensions
200
64 Quantized YangMills Theory
202
641 Canonical Quantization of Electrodynamics
207
642 Path Integrals
209
65 Quantum Spins and Strong Coupling in Gauge Theory
211
66 Staggered Fermions
216
67 Strong Coupling Lattice Gauge Theory
220
672 Strong Coupling
222
68 Results on Strong Coupling
228
References
231
Quantum Chaos and Transport in Mesoscopic Systems
235
72 Quantum Chaos
236
721 Beyond Random Matrix Theory
241
722 From Disordered to Chaotic Systems
244
73 Quantum Dots
249
732 Orthodox Theory
251
733 Od Hamiltonian
254
74 Quasiparticle Lifetime in a Finite System
257
741 Transition Region
261
References
267
Index
271
זכויות יוצרים

מהדורות אחרות - הצג הכל

מונחים וביטויים נפוצים

הפניות לספר זה

מידע ביבליוגרפי