GAP STATES AND LOCALIZATION PROPERTIES OF ONE-DIMENSIONAL FIBONACCI QUASI-CRYSTALS

被引：51

作者：

CAPAZ, RB

KOILLER, B

DEQUEIROZ, SLA

机构：

[1] Departamento de Física, Pontifícia, Universidade Católica do Rio de Janeiro, 22452 Rio de Janeiro, Rio de Janeiro

来源：

PHYSICAL REVIEW B | 1990年 / 42卷 / 10期

关键词：

D O I：

10.1103/PhysRevB.42.6402

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Localization lengths of electronic states on one-dimensional Fibonacci quasicrystals are calculated exactly within a decimation-renormalization scheme. A self-similar pattern is obtained for the localization lengths along the spectrum as the numerical resolution is improved. Properties of the states in the spectrum are inferred from the scaling of the gap states as the gap width approaches zero. No exponential localization is present for any type of model (diagonal and/or off-diagonal quasiperiodicity). Power-law-type localization has also been investigated and not found, at least in a standard form. © 1990 The American Physical Society.

引用

页码：6402 / 6407

页数：6

共 33 条

[11] QUASI-PERIODIC LATTICE - ELECTRONIC-PROPERTIES, PHONON PROPERTIES, AND DIFFUSION
KOHMOTO, M
BANAVAR, JR
[J]. PHYSICAL REVIEW B, 1986, 34 (02): : 563 - 566
[12] CRITICAL WAVE-FUNCTIONS AND A CANTOR-SET SPECTRUM OF A ONE-DIMENSIONAL QUASI-CRYSTAL MODEL
KOHMOTO, M
SUTHERLAND, B
TANG, C
[J]. PHYSICAL REVIEW B, 1987, 35 (03): : 1020 - 1033
[13] LOCALIZATION PROBLEM IN ONE DIMENSION - MAPPING AND ESCAPE
KOHMOTO, M
KADANOFF, LP
TANG, C
[J]. PHYSICAL REVIEW LETTERS, 1983, 50 (23) : 1870 - 1872
[14] RENORMALIZATION-GROUP TREATMENT FOR THE ELECTRONIC-SPECTRUM OF PARTIALLY ORDERED ONE-DIMENSIONAL ALLOYS
KOILLER, B
ROBBINS, MO
DAVIDOVICH, MA
DASILVA, CETG
[J]. SOLID STATE COMMUNICATIONS, 1983, 45 (11) : 955 - 959
[15] ELECTRONIC-STRUCTURE OF A QUASI-PERIODIC SUPERLATTICE
KUMAR, V
ANANTHAKRISHNA, G
[J]. PHYSICAL REVIEW LETTERS, 1987, 59 (13) : 1476 - 1479
[16] FIBONACCI INVARIANT AND ELECTRONIC-PROPERTIES OF GAAS/GA1-XALXAS QUASIPERIODIC SUPERLATTICES
LARUELLE, F
ETIENNE, B
[J]. PHYSICAL REVIEW B, 1988, 37 (09): : 4816 - 4819
[17] QUASICRYSTALS - A NEW CLASS OF ORDERED STRUCTURES
LEVINE, D
STEINHARDT, PJ
[J]. PHYSICAL REVIEW LETTERS, 1984, 53 (26) : 2477 - 2480
[18] ELECTRONIC-PROPERTIES OF PERFECT AND NONPERFECT ONE-DIMENSIONAL QUASI-CRYSTALS
LIU, YY
RIKLUND, R
[J]. PHYSICAL REVIEW B, 1987, 35 (12): : 6034 - 6042
[19] CANTOR SPECTRA AND SCALING OF GAP WIDTHS IN DETERMINISTIC APERIODIC SYSTEMS
LUCK, JM
[J]. PHYSICAL REVIEW B, 1989, 39 (09): : 5834 - 5849
[20] QUASIPERIODIC GAAS-ALAS HETEROSTRUCTURES
MERLIN, R
BAJEMA, K
CLARKE, R
JUANG, FY
BHATTACHARYA, PK
[J]. PHYSICAL REVIEW LETTERS, 1985, 55 (17) : 1768 - 1770

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