EXTENDED STATES IN ONE-DIMENSIONAL HIERARCHICAL LATTICES

被引：6

作者：

LIN, ZF ^{[1
]}

GODA, M ^{[1
]}

机构：

[1] NIIGATA UNIV, FAC ENGN, NIIGATA 95021, JAPAN

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 23期

关键词：

D O I：

10.1088/0305-4470/26/23/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An on-site tight-binding model in one dimension with a hierarchical distribution of site energies is studied. An infinite number of extended states are analytically shown to exist by using both the trace map for the transfer matrices technique and the real-space renormalization group approach. The energies corresponding to these extended states constitute a dense set in the energy spectrum. Unlike the extended states in the usual deterministic aperiodic and disordered systems, the existence of the extended states in the hierarchical chain is believed to be dependent on the property of the entire lattice rather than that of a certain finite cluster.

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页码：L1217 / L1222

页数：6

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