THEORY OF QUASI-PERIODIC LATTICES .1. SCALING TRANSFORMATION FOR A QUASI-PERIODIC LATTICE

被引：41

作者：

IGUCHI, K

机构：

[1] Department of Physics, University of Utah, Salt Lake City

来源：

PHYSICAL REVIEW B | 1991年 / 43卷 / 07期

关键词：

D O I：

10.1103/PhysRevB.43.5915

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A theory of quasiperiodic lattices that consist of only two types of atoms is introduced. If a ratio between the numbers of the two types of atoms in a chain is irrational, the lattice is quasiperiodic. First, we present the scaling transformation for the construction of any quasiperiodic lattice in terms of a continued-fraction expansion of the ratio. Second, we show that all the scaling transformations preserve an invariant surface, which was first discovered by Kohmoto, Kadanoff, and Tang.

引用

页码：5915 / 5918

页数：4

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