LONG-RANGE ORDER IN A 3-DIMENSIONAL RANDOM-TILING QUASI-CRYSTAL

被引:58
作者
SHAW, LJ
ELSER, V
HENLEY, CL
机构
[1] Department of Physics, Cornell University, Ithaca
来源
PHYSICAL REVIEW B | 1991年 / 43卷 / 04期
关键词
D O I
10.1103/PhysRevB.43.3423
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Monte Carlo simulations are performed on the rhombohedral random-tiling model of icosahedral quasicrystals. Long-range order is observed in agreement with a squared-gradient form of the coarse-grained free energy, and the two independent phason elastic constants are determined. Schematic transmission electron micrographs, generated by two-dimensional projections of the tile vertices of a typical random configuration, display phason disorder only for sufficiently thin samples.
引用
收藏
页码:3423 / 3433
页数:11
相关论文
共 39 条
[1]   HIGH-TEMPERATURE STABILITY AND FACETING OF THE ICOSAHEDRAL AL-FE-CU PHASE [J].
AUDIER, M ;
GUYOT, P ;
BRECHET, Y .
PHILOSOPHICAL MAGAZINE LETTERS, 1990, 61 (02) :55-62
[2]   AL4MN QUASI-CRYSTAL ATOMIC-STRUCTURE, DIFFRACTION DATA AND PENROSE TILING [J].
AUDIER, M ;
GUYOT, P .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1986, 53 (01) :L43-L51
[3]  
AUDIER M, IN PRESS QUASICRYSTA
[4]   DYNAMICAL PHASONS IN A PERFECT QUASICRYSTAL [J].
BANCEL, PA .
PHYSICAL REVIEW LETTERS, 1989, 63 (25) :2741-2744
[5]   QUASIPERIODIC PATTERNS [J].
DUNEAU, M ;
KATZ, A .
PHYSICAL REVIEW LETTERS, 1985, 54 (25) :2688-2691
[6]   CRYSTAL AND QUASICRYSTAL STRUCTURES IN AL-MN-SI ALLOYS [J].
ELSER, V ;
HENLEY, CL .
PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2883-2886
[7]   THE DIFFRACTION PATTERN OF PROJECTED STRUCTURES [J].
ELSER, V .
ACTA CRYSTALLOGRAPHICA SECTION A, 1986, 42 :36-43
[8]   QUASICRYSTALS - A NEW CLASS OF ORDERED STRUCTURES - COMMENT [J].
ELSER, V .
PHYSICAL REVIEW LETTERS, 1985, 54 (15) :1730-1730
[9]   INDEXING PROBLEMS IN QUASICRYSTAL DIFFRACTION [J].
ELSER, V .
PHYSICAL REVIEW B, 1985, 32 (08) :4892-4898
[10]  
ELSER V, 1987, 15TH INT C GROUP THE