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

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.

Contains 1 figure in color (Fig. 3 on page 16)

References in corpus (2)

• Quantum Antiferromagnetism in Quasicrystals
• Symmetry of Magnetically-Ordered Three-Dimensional Octagonal Quasicrystals

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