TY  - BOOK
AU  - Caspers,W.J.
TI  - Spin systems
SN  - 9789814503341
AV  - QC762.6.S65 C37 1989eb
U1  - 530.4/12 22
PY  - 1989///]
CY  - Singapore, Teaneck, NJ
PB  - World Scientific
KW  - Spin waves
KW  - Mathematical models
KW  - Magnetic materials
KW  - Mathematical physics
KW  - Ondes de spin
KW  - Modèles mathématiques
KW  - Matériaux magnétiques
KW  - Physique mathématique
KW  - SCIENCE
KW  - Energy
KW  - bisacsh
KW  - Mechanics
KW  - General
KW  - Physics
KW  - fast
KW  - Spinsystem
KW  - gnd
KW  - Magnetische stoffen
KW  - gtt
KW  - Wiskundige methoden
KW  - Spingolven
KW  - Spin (natuurkunde)
KW  - Mathematische fysica
N1  - Includes bibliographical references (pages 213-215) and index; I. Introduction -- II. Spin systems as models for magnetic materials -- III. Quantum mechanics of spins -- IV. Different types of interaction. Model Hamiltonians -- V. Exact results for one-dimensional systems. V.1. The Heisenberg chain. V.2. TheXY-model. V.3. Majumdar-Ghosh-like models. V.4. Marshall's criterion -- VI. General survey of results in one and two dimensions. VI. 1. The spin-wave approximation. VI. 2. The theorem of Mermin and Wagner. VI. 3. Numerical results for finite systems. Limit N₂!. VI. 4. Dimer coverings and the resonance method. VI. 5. Concluding remarks -- VII. State of the art for three-dimensional systems -- VIII. Recent developments. VIII. 1. The spin-1 anti-ferromagnetic Heisenberg chain. VIII. 2. Affleck systems
N2  - This book is about spin systems as models for magnetic materials, especially antiferromagnetic lattices. Spin-systems are well-defined models, for which, in special cases, exact properties may be derived. These special cases are for the greater part, one- dimensional and restricted in their applicability, but they may give insight into general properties that also exist in higher dimension. This work pays special attention to qualitative differences between spin lattices of different dimensions. It also replaces the traditional picture of an (ordered) antiferromagnetic state of a Heisenberg system by one which makes use of the space of quantum spin states
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