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Magnetically-ordered quasicrystals: Enumeration of spin groups and calculation of magnetic selection rules

Ron Lifshitz·Shahar Even-Dar Mandel
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Abstract

We provide the details of the theory of magnetic symmetry in quasicrystals, which has previously only been outlined. We develop a practical formalism for the enumeration of spin point groups and spin space groups, and for the calculation of selection rules for neutron scattering experiments. We demonstrate the formalism using the simple, yet non-trivial, example of magnetically-ordered octagonal quasicrystals in two dimensions. In a companion paper we shall provide complete results for octagonal quasicrystals in three dimensions.

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Ron Lifshitz, Shahar Even-Dar Mandel. 2003-08-15. Magnetically-ordered quasicrystals: Enumeration of spin groups and calculation of magnetic selection rules. https://doi.org/10.1107/s0108767303026746

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