Noncollinear magnetic order in quasicrystals

被引:55
作者
Vedmedenko, EY
Grimm, U
Wiesendanger, R
机构
[1] Inst Angew Phys, D-20355 Hamburg, Germany
[2] Open Univ, Dept Appl Math, Milton Keynes MK7 6AA, Bucks, England
关键词
D O I
10.1103/PhysRevLett.93.076407
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:076407 / 1
页数:4
相关论文
共 15 条
[1]   IDEAL AND DEFECTIVE VERTEX CONFIGURATIONS IN THE PLANAR OCTAGONAL QUASILATTICE [J].
BAAKE, M ;
JOSEPH, D .
PHYSICAL REVIEW B, 1990, 42 (13) :8091-8102
[2]   Observation of quasimagnetic structures in rare-earth-based icosahedral quasicrystals [J].
Charrier, B ;
Ouladdiaf, B ;
Schmitt, D .
PHYSICAL REVIEW LETTERS, 1997, 78 (24) :4637-4640
[3]  
Grimm U, 1997, NATO ADV SCI I C-MAT, V489, P199
[4]   Real-space imaging of two-dimensional antiferromagnetism on the atomic scale [J].
Heinze, S ;
Bode, M ;
Kubetzka, A ;
Pietzsch, O ;
Nie, X ;
Blügel, S ;
Wiesendanger, R .
SCIENCE, 2000, 288 (5472) :1805-1808
[5]   Three-dimensional spin structure on a two-dimensional lattice:: Mn/Cu(111) [J].
Kurz, P ;
Bihlmayer, G ;
Hirai, K ;
Blügel, S .
PHYSICAL REVIEW LETTERS, 2001, 86 (06) :1106-1109
[6]   Magnetically ordered quasicrystals: enumeration of spin groups and calculation of magnetic selection rules [J].
Lifshitz, R ;
Mandel, SED .
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2004, 60 :167-178
[7]   Symmetry of magnetically ordered quasicrystals [J].
Lifshitz, R .
PHYSICAL REVIEW LETTERS, 1998, 80 (12) :2717-2720
[8]   Magnetic quasicrystals: what can we expect to see in their neutron diffraction data? [J].
Lifshitz, R .
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING, 2000, 294 :508-511
[9]   ABSENCE OF FERROMAGNETISM OR ANTIFERROMAGNETISM IN ONE- OR 2-DIMENSIONAL ISOTROPIC HEISENBERG MODELS [J].
MERMIN, ND ;
WAGNER, H .
PHYSICAL REVIEW LETTERS, 1966, 17 (22) :1133-&
[10]   EFFECTS OF FRUSTRATION AND LOCALIZATION OF STATES IN THE PENROSE LATTICE [J].
NAUMIS, GG ;
BARRIO, RA ;
WANG, CM .
PHYSICAL REVIEW B, 1994, 50 (14) :9834-9842