Theory of the Nuclear Magnetic 1/T1 Relaxation Rate in Conventional and Unconventional Magnets

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Springer Science & Business Media, Aug 13, 2013 - Science - 165 pages
One of the best ways to "lift the lid" on what is happening inside a given material is to study it using nuclear magnetic resonance (NMR). Of particular interest are NMR 1/T1 relaxation rates, which measure how fast energy stored in magnetic nuclei is transferred to surrounding electrons.

This thesis develops a detailed, quantitative theory of NMR 1/T1 relaxation rates, and shows for the first time how they could be used to measure the speed at which energy travels in a wide range of magnetic materials.

This theory is used to make predictions for"Quantum Spin Nematics", an exotic form of quantum order analogous to a liquid crystal. In order to do so, it is first necessary to unravel how spin nematics transport energy. This thesis proposes a new way to do this, based on the description of quarks in high-energy physics.

Experiments to test the ideas presented are now underway in laboratories across the world.
 

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Contents

What is Frustrated Magnetism and Why Should You Care?
1
The Néel Antiferromagnet
31
A Theory of the 1T1 Relaxation Rate in Magnetic Systems
49
4 Theory of the NMR Relaxation Rate in Magnetic Fepnictides
58
The 3Sublattice Antiferroquadrupolar State
83
The 2Sublattice Antiferroquadrupolar State
113
7 How to Recognise the Quantum SpinNematic State Using NMR
137
8 Conclusion and Outlook
149
A Calculation of the Longitudinal Suceptibility Relevant to BaFe2As2
153
B Spectral Representations of Form Factors
158
C Integrating Products of Bose Functions
161
D The Form Factor for 7Li NMR in the SpinNematic State
162
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