EXTENDED AND PERIODIC STATES IN ONE-DIMENSIONAL APERIODIC LATTICES

被引：4

作者：

LIN, ZF

MU, YM

TAO, RB

机构：

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 1991年 / 15卷 / 01期

关键词：

D O I：

10.1088/0253-6102/15/1/99

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The eigenstates of an electron in two cases of one-dimensional (1D) aperiodic lattices are investigated analytically in the tight-binding approximation. The two cases of aperiodic lattices investigated are 1D Thue-Morse (TM) lattice and 1D hierarchical system, both of which are non-quasiperiodic. It is shown that both the aperiodic models possess extended states. In particular, in 1D hierarchical system, there exists a finite fraction of periodic states independent of the hierarchical parameter R.

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页码：99 / 102

页数：4

相关论文

共 9 条

[1] VIBRATIONAL-MODES IN A ONE-DIMENSIONAL QUASI-ALLOY - THE MORSE CASE [J].

AXEL, F ;

ALLOUCHE, JP ;

KLEMAN, M ;

MENDESFRANCE, M ;

PEYRIERE, J .

JOURNAL DE PHYSIQUE, 1986, 47 (C-3) :181-186

[2]

CHENG Z, 1988, PHYS REV B, V37, P4735

[3]

GUMBS G, 1988, J PHYS A, V21, pL571

[4] PHASE-TRANSITION IN THE MULTIFRACTAL SPECTRUM OF THE THUE-MORSE LATTICE [J].

LAROCCA, GC .

SOLID STATE COMMUNICATIONS, 1989, 70 (02) :115-118

[5]

Riklund R., 1987, International Journal of Modern Physics B, V1, P121, DOI 10.1142/S0217979287000104

[6] COEXISTENCE OF LOCALIZED, CRITICAL, AND EXTENDED STATES IN A ONE-DIMENSIONAL SUBSTITUTIONAL NON-FIBONACCIAN QUASICRYSTAL - A MULTIFRACTAL ANALYSIS [J].

SEVERIN, M ;

RIKLUND, R .

PHYSICAL REVIEW B, 1989, 39 (14) :10362-10365

[7] PERIODIC AND QUASIPERIODIC WAVEFUNCTIONS IN A CLASS OF ONE-DIMENSIONAL QUASICRYSTALS - AN ANALYTICAL TREATMENT [J].

SEVERIN, M ;

DULEA, M ;

RIKLUND, R .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (45) :8851-8858

[8] SINGULAR CONTINUOUS-SPECTRUM ON A CANTOR SET OF ZERO LEBESGUE MEASURE FOR THE FIBONACCI HAMILTONIAN [J].

SUTO, A .

JOURNAL OF STATISTICAL PHYSICS, 1989, 56 (3-4) :525-531

[9] RENORMALIZATION-GROUP AND DYNAMICAL MAPS FOR THE HIERARCHICAL TIGHT-BINDING PROBLEM [J].

WURTZ, D ;

SCHNEIDER, T ;

POLITI, A ;

ZANNETTI, M .

PHYSICAL REVIEW B, 1989, 39 (11) :7829-7839