Description 
1 online resource (xi, 154 pages) : illustrations 
Series 
Lecture notes in physics, 16166361 ; 816 

Lecture notes in physics ; 816. 00758450

Contents 
Note continued: 10.3.1. LSUB2 Approximation for the SpinHalf, SquareLattice XXZModel for the zAligned Model State  10.3.2. SUB2 Approximation for the SpinHalf, SquareLattice XXZModel of the zAligned Model State  10.3.3. HighOrder CCM Calculations Using a Computational Approach  10.3.4. Excitation Spectrum of the SpinHalf SquareLattice XXZModel for the zAligned Model State  10.4. Lattice Magnetisation  References  11. Quantum Magnetism  11.1. Introduction  11.2. OneDimensional Models  11.2.1. SpinHalf J1J2 Model on the Linear Chain  11.2.2. s  1 Heisenberg Model on the Linear Chain  11.2.3. s = 1 HeisenbergBiquadratic Model on the Linear Chain  11.3. s = 1/2 Heisenberg Model for Archimedean Lattices  11.4. Spin Plateaux  11.5. SpinHalf J1J2 Model on the Square Lattice  11.6. ShastrySutherland Antiferromagnet  11.7. Conclusions  References 
Summary 
Annotation The topic of lattice quantum spin systems is a fascinating and by nowwellestablished branch of theoretical physics. However, many important questions remain to be answered. Their intrinsically quantum mechanical nature and the large (usually effectively infinite) number of spins in macroscopic materials often leads to unexpected or counterintuitive results and insights. Spin systems are not only the basic models for a whole host of magnetic materials but they are also important as prototypical models of quantum systems. Low dimensional systems (as treated in this primer), in 2D and especially 1D, have been particularly fruitful because their simplicity has enabled exact solutions to be determined in many cases. These exact solutions contain many highly nontrivial features. This book was inspired by a set of lectures on quantum spin systems and it is set at a level of practical detail that is missing in other textbooks in the area. It will guide the reader through the foundations of the field. In particular, the solutions of the Heisenberg and XY models at zero temperature using the Bethe Ansatz and the JordanWigner transformation are covered in some detail. The use of approximate methods, both theoretical and numerical, to tackle more advanced topics is considered. The final chapter describes some very recent applications of approximate methods in order to show some of the directions in which the study of these systems is currently developing 
Bibliography 
Includes bibliographical references and index 
Notes 
Print version record 
Subject 
Nuclear spin.


Quantum theory.

Form 
Electronic book

Author 
Farnell, Damian J. J.

LC no. 
2010931613 
ISBN 
9783642132902 

3642132901 

3642132898 

9783642132896 

1280382120 

9781280382123 
