Universality of the Momentum Band Density of Periodic Networks

被引：23

作者：

Band, Ram ^{[1
]}

Berkolaiko, Gregory ^{[2
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 13期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

QUANTUM GRAPHS; SPECTRAL PROPERTIES; PHOTONIC CRYSTALS; CONVERGENCE; GAPS; OPERATORS; CHAOS;

D O I：

10.1103/PhysRevLett.111.130404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The momentum spectrum of a periodic network (quantum graph) has a band-gap structure. We investigate the relative density of the bands or, equivalently, the probability that a randomly chosen momentum belongs to the spectrum of the periodic network. We show that this probability exhibits universal properties. More precisely, the probability to be in the spectrum does not depend on the edge lengths (as long as they are generic) and is also invariant within some classes of graph topologies.

引用

页数：5

共 39 条

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