LOCALIZATION IN A ONE-DIMENSIONAL THUE-MORSE CHAIN

被引:42
作者
HUANG, D
GUMBS, G
KOLAR, M
机构
[1] CUNY HUNTER COLL,DEPT PHYS & ASTRON,NEW YORK,NY 10021
[2] CUNY,GRAD SCH,NEW YORK,NY 10021
[3] UNIV LETHBRIDGE,DEPT CHEM,LETHBRIDGE T1K 3M4,ALBERTA,CANADA
来源
PHYSICAL REVIEW B | 1992年 / 46卷 / 18期
关键词
D O I
10.1103/PhysRevB.46.11479
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The mean resistance of a one-dimensional wire is calculated with the use of Landauer formula for three types of arrangements: the random, Thue-Morse, and Fibonacci chains for which the positions of the atoms and the scattering strengths are modulated according to the prescribed rules. Comparison of the obtained numerical results shows that for the position modulation, a Thue-Morse chain is more localized than a Fibonacci chain, while for the scattering strength modulation it is less localized. It is shown that the Thue-Morse chain can be switched from being localized to being extended when the ratio of the strength modulation to the position modulation is increased. A similar change occurs in the generalized Thue-Morse chain.
引用
收藏
页码:11479 / 11486
页数:8
相关论文
共 31 条
[21]   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
[22]   THEORY OF SUPERCONDUCTING WIRE NETWORKS AND JOSEPHSON-JUNCTION ARRAYS IN MAGNETIC-FIELDS [J].
NIU, Q ;
NORI, F .
PHYSICAL REVIEW B, 1989, 39 (04) :2134-2150
[23]   TC(H) FOR QUASICRYSTALLINE MICRONETWORKS - ANALYTICAL AND NUMERICAL RESULTS [J].
NORI, F ;
NIU, Q .
PHYSICA B, 1988, 152 (1-2) :105-112
[24]   SUPERCONDUCTING-NORMAL PHASE-BOUNDARY OF QUASI-CRYSTALLINE ARRAYS IN A MAGNETIC-FIELD [J].
NORI, F ;
NIU, Q ;
FRADKIN, E ;
CHANG, SJ .
PHYSICAL REVIEW B, 1987, 36 (16) :8338-8342
[25]  
NORI F, 1988, PHYS REV B, V37, P2360
[26]  
READING JF, 1972, PHYS REV B, V5, P556, DOI 10.1103/PhysRevB.5.556
[27]   METALLIC PHASE WITH LONG-RANGE ORIENTATIONAL ORDER AND NO TRANSLATIONAL SYMMETRY [J].
SHECHTMAN, D ;
BLECH, I ;
GRATIAS, D ;
CAHN, JW .
PHYSICAL REVIEW LETTERS, 1984, 53 (20) :1951-1953
[28]   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
[29]   ACOUSTIC INTERFERENCE IN RANDOM SUPERLATTICES [J].
TAMURA, S ;
NORI, F .
PHYSICAL REVIEW B, 1990, 41 (11) :7941-7944
[30]   TRANSMISSION AND FREQUENCY-SPECTRA OF ACOUSTIC PHONONS IN THUE-MORSE SUPERLATTICES [J].
TAMURA, S ;
NORI, F .
PHYSICAL REVIEW B, 1989, 40 (14) :9790-9801