| Description |
1 online resource (ii, 219 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 213-215) and index. |
| Contents |
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. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Spin waves -- Mathematical models.
|
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Spin waves -- Mathematical models. |
|
Spin waves. |
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Magnetic materials -- Mathematical models.
|
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Magnetic materials -- Mathematical models. |
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Magnetic materials. |
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Mathematical physics.
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Mathematical physics. |
| Genre/Form |
Electronic books.
|
| Other Form: |
Print version: Caspers, W.J. Spin systems 9971507889 (DLC) 89014750 (OCoLC)19885625 |
| ISBN |
9789814503341 (electronic book) |
|
9814503347 (electronic book) |
|
9971507889 |
|
9789971507886 |
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