GAP-LABELING PROPERTIES OF THE ENERGY-SPECTRUM FOR ONE-DIMENSIONAL FIBONACCI QUASI-LATTICES

被引:23
作者
LIU, YY
FU, XJ
DENG, WJ
WANG, SZ
机构
[1] ACAD SINICA,INT CTR MAT PHYS,SHENYANG 110015,PEOPLES R CHINA
[2] CHINESE CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
来源
PHYSICAL REVIEW B | 1992年 / 46卷 / 14期
关键词
D O I
10.1103/PhysRevB.46.9216
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study the gap-labeling properties of the energy spectrum for one-dimensional Fibonacci quasilattices. We have obtained the occupation probabilities on subbands of the hierarchical energy spectrum and the step heights of the integrated density of states. It is analytically proved that the step height is equal to {mtau}, where the braces denote the fractional part, and m is an integer that can be used to label the corresponding energy gap. Numerical simulation confirms these results.
引用
收藏
页码:9216 / 9219
页数:4
相关论文
共 11 条
[1]   DYNAMIC PROPERTIES OF 2-DIMENSIONAL QUASI-CRYSTALS [J].
ASHRAFF, JA ;
LUCK, JM ;
STINCHCOMBE, RB .
PHYSICAL REVIEW B, 1990, 41 (07) :4314-4329
[2]   MAGNETIC SUBBAND STRUCTURE OF ELECTRONS IN HEXAGONAL LATTICES [J].
CLARO, FH ;
WANNIER, GH .
PHYSICAL REVIEW B, 1979, 19 (12) :6068-6074
[3]   DC CONDUCTIVITY IN ONE-DIMENSIONAL INCOMMENSURATE SYSTEMS [J].
LIU, YY ;
CHAO, KA .
PHYSICAL REVIEW B, 1986, 34 (08) :5247-5252
[4]   BRANCHING-RULES OF THE ENERGY-SPECTRUM OF ONE-DIMENSIONAL QUASI-CRYSTALS [J].
LIU, YY ;
SRITRAKOOL, W .
PHYSICAL REVIEW B, 1991, 43 (01) :1110-1116
[5]   ELECTRONIC-PROPERTIES OF PERFECT AND NONPERFECT ONE-DIMENSIONAL QUASI-CRYSTALS [J].
LIU, YY ;
RIKLUND, R .
PHYSICAL REVIEW B, 1987, 35 (12) :6034-6042
[6]   PROPERTIES OF ONE-DIMENSIONAL QUASI-LATTICES [J].
LU, JP ;
ODAGAKI, T ;
BIRMAN, JL .
PHYSICAL REVIEW B, 1986, 33 (07) :4809-4817
[7]   PHONON-SPECTRA IN ONE-DIMENSIONAL QUASI-CRYSTALS [J].
LUCK, JM ;
PETRITIS, D .
JOURNAL OF STATISTICAL PHYSICS, 1986, 42 (3-4) :289-310
[8]   RENORMALIZATION-GROUP STUDY OF ONE-DIMENSIONAL QUASI-PERIODIC SYSTEMS [J].
NIU, Q ;
NORI, F .
PHYSICAL REVIEW LETTERS, 1986, 57 (16) :2057-2060
[9]   SPECTRAL SPLITTING AND WAVE-FUNCTION SCALING IN QUASI-CRYSTALLINE AND HIERARCHICAL STRUCTURES [J].
NIU, Q ;
NORI, F .
PHYSICAL REVIEW B, 1990, 42 (16) :10329-10341
[10]   UNUSUAL BAND-STRUCTURE, WAVE-FUNCTIONS AND ELECTRICAL CONDUCTANCE IN CRYSTALS WITH INCOMMENSURATE PERIODIC POTENTIALS [J].
SOKOLOFF, JB .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1985, 126 (04) :189-244