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Titlebook: An Introduction to Quantum Spin Systems; John Parkinson,Damian J J Farnell Book 2010 Springer-Verlag Berlin Heidelberg 2010 Theoretical ph

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期刊全称An Introduction to Quantum Spin Systems
影响因子2023John Parkinson,Damian J J Farnell
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发行地址Very useful as a self-study guide.Provides examples and step by step derivations.Goes straight to advanced level teachings.Includes supplementary material:
学科分类Lecture Notes in Physics
图书封面Titlebook: An Introduction to Quantum Spin Systems;  John Parkinson,Damian J J Farnell Book 2010 Springer-Verlag Berlin Heidelberg 2010 Theoretical ph
影响因子The topic of lattice quantum spin systems is a fascinating and by nowwell-established 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 counter-intuitive 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 Jordan-Wigner transformation are covered in some detail. The use of approximat
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Antiferromagnetic Spin Waves, reversed. The elementary excitations from the ground state have . spins reversed. To calculate the energies of these states, des Cloiseaux and Pearson used a modified version of the same method that Hulthén had used for the ground state energy. The modifications are quite significant and involve so
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Spin-Wave Theory,er we describe a much more general method, due originally to Anderson, which is widely used to obtain results for many different systems. It is referred to as ‘spin-wave theory’ as it gives results for the energies of the elementary excitations or spin waves. The method works for both ferromagnets a
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Numerical Finite-Size Calculations,h make use of sophisticated approximation techniques developed in many areas of quantum many-body theory. However, in this chapter we first look a very simple numerical method that does not involve any theory other than the assumption that the properties of small systems change smoothly as the size
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