Quasiperiodic Magnetic Order and Geometrical Frustration on the Penrose Tiling
The spatial variation of the coordination number on the Penrose tiling leads to suppression of the formation of macroscopic vortex configuration, usual to soft ferromagnetic films on periodic lattices, in favor of microscopic decagonal pattern. That state represents a new class of frustrated systems where the structure is aperiodic and consists of two parts: ordered, stable decagon chains and an unstable, spin-glass phase inside of the decagons. Virgin magnetizing is a two-step process in that system.
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