2004/06/16 by E. Y. Vedmedenko, Uwe Grimm, U. Grimm +1 · 2 citations
Materials Science · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.93.076407
published as Phys. Rev. Lett. 93, 076407 (2004) · RevTeX, 4 pages, 5 low-resolution color figures (due to size restrictions); to appear in Physical Review Letters
arxiv created 2004/06/16 · openalex publication_date 2004/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Based on Monte Carlo simulations, the stable magnetization configurations of an antiferromagnet on a quasiperiodic tiling are derived theoretically. The exchange coupling is assumed to decrease exponentially with the distance between magnetic moments. It is demonstrated that the superposition of geometric frustration with the quasiperiodic ordering leads to a three-dimensional noncollinear antiferromagnetic spin structure. The structure can be divided into several ordered interpenetrating magnetic supertilings of different energy and characteristic wave vector. The number and the symmetry of subtilings depend on the quasiperiodic ordering of atoms.