MULTIFRACTAL, LOCALIZED, AND EXTENDED WAVE-FUNCTIONS IN GENERALIZED FIBONACCI CHAINS

被引：10

作者：

BOTTGER, H

KASNER, G

机构：

[1] Sektion Physik, Technischen Universität, Magdeburg

来源：

PHYSICA STATUS SOLIDI B-BASIC RESEARCH | 1990年 / 162卷 / 02期

关键词：

D O I：

10.1002/pssb.2221620220

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The f(alpha) singularity spectrum of wave functions in a ld generalized Fibonacci tight binding electron model are investigated. Localized, extended, and critical wave functions are found in contrast to the pure Fibonacci chain.

引用

页码：489 / 495

页数：7

共 12 条

[1]

BOTTGER H, 1983, PRINCIPLES THEORY LA, P159

[2]

BOTTGER H, 1989, P ANN ADRIATICO RES, P459

[3] DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].

CHHABRA, A ;

JENSEN, RV .

PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330

[4] MULTIFRACTAL WAVE-FUNCTIONS ON A FIBONACCI LATTICE [J].

FUJIWARA, T ;

KOHMOTO, M ;

TOKIHIRO, T .

PHYSICAL REVIEW B, 1989, 40 (10) :7413-7416

[5] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[6]

KADANOFF LP, 1983, PHYS REV LETT, V50, P1870

[7]

KATO T, 1966, PERTURBATION THEORY, P515

[8] QUASI-PERIODIC LATTICE - ELECTRONIC-PROPERTIES, PHONON PROPERTIES, AND DIFFUSION [J].

KOHMOTO, M ;

BANAVAR, JR .

PHYSICAL REVIEW B, 1986, 34 (02) :563-566

[9] CRITICAL WAVE-FUNCTIONS AND A CANTOR-SET SPECTRUM OF A ONE-DIMENSIONAL QUASI-CRYSTAL MODEL [J].

KOHMOTO, M ;

SUTHERLAND, B ;

TANG, C .

PHYSICAL REVIEW B, 1987, 35 (03) :1020-1033

[10] ELECTRONIC-STRUCTURE OF A QUASI-PERIODIC SUPERLATTICE [J].

KUMAR, V ;

ANANTHAKRISHNA, G .

PHYSICAL REVIEW LETTERS, 1987, 59 (13) :1476-1479

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