LATTICE-DYNAMICS OF 3-DIMENSIONAL QUASI-CRYSTALS

被引：32

作者：

LOS, J

JANSSEN, T

机构：

[1] Inst. for Theor. Phys., Nijmegen Univ.

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 1990年 / 2卷 / 48期

关键词：

D O I：

10.1088/0953-8984/2/48/009

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The density of states (DOS) is calculated for a three-dimensional Penrose tiling with icosahedral symmetry by taking two different approximations, the cluster approximation and the commensurate approximation. It is compared with the DOS for a model of the icosahedral phase of Al-Mn-Si (i-AlMnSi) in the cluster approximation. At low frequencies the DOS contains pseudo-gaps. The spectrum possesses scaling properties. The global contours of the DOS for i-AlMnSi are in reasonable agreement with the experiments.

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页码：9553 / 9566

页数：14

相关论文

共 21 条

[1] ICOSAHEDRAL CRYSTALS - WHERE ARE THE ATOMS [J].

BAK, P .

PHYSICAL REVIEW LETTERS, 1986, 56 (08) :861-864

[2] QUASIPERIODIC PATTERNS [J].

DUNEAU, M ;

KATZ, A .

PHYSICAL REVIEW LETTERS, 1985, 54 (25) :2688-2691

[3] CRYSTAL AND QUASICRYSTAL STRUCTURES IN AL-MN-SI ALLOYS [J].

ELSER, V ;

HENLEY, CL .

PHYSICAL REVIEW LETTERS, 1985, 55 (26) :2883-2886

[4] INDEXING PROBLEMS IN QUASICRYSTAL DIFFRACTION [J].

ELSER, V .

PHYSICAL REVIEW B, 1985, 32 (08) :4892-4898

[5] THEORY OF THE FORMATION OF METALLIC GLASSES [J].

HAFNER, J .

PHYSICAL REVIEW B, 1980, 21 (02) :406-426

[6] ENERGY-LEVELS AND WAVE-FUNCTIONS OF BLOCH ELECTRONS IN RATIONAL AND IRRATIONAL MAGNETIC-FIELDS [J].

HOFSTADTER, DR .

PHYSICAL REVIEW B, 1976, 14 (06) :2239-2249

[7] ICOSAHEDRAL CRYSTALS - NEUTRON-DIFFRACTION TELLS YOU WHERE THE ATOMS ARE [J].

JANOT, C ;

DEBOISSIEU, M ;

DUBOIS, JM ;

PANNETIER, J .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (06) :1029-1048

[8] CRYSTALLOGRAPHY OF QUASI-CRYSTALS [J].

JANSSEN, T .

ACTA CRYSTALLOGRAPHICA SECTION A, 1986, 42 :261-271

[9] LATTICE-DYNAMICS OF INCOMMENSURATE CRYSTAL PHASES [J].

JANSSEN, T .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (24) :5381-5392

[10] MULTIFRACTAL SPECTRAL AND WAVEFUNCTION PROPERTIES OF THE QUASIPERIODIC MODULATED-SPRING MODEL [J].

JANSSEN, T ;

KOHMOTO, M .

PHYSICAL REVIEW B, 1988, 38 (09) :5811-5820