Quantum chaos in weakly disordered graphene

被引：22

作者：

Amanatidis, I. ^{[1
]}

Evangelou, S. N. ^{[1
]}

机构：

[1] Univ Ioannina, Dept Phys, GR-45110 Ioannina, Greece

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 20期

关键词：

carbon nanotubes; chaos; graphene; tight-binding calculations; Wigner crystal; CARBON NANOTUBES; SYSTEMS; STATISTICS; TRANSPORT; BILLIARDS; PHASE; GAS;

D O I：

10.1103/PhysRevB.79.205420

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We have studied numerically the statistics for electronic states (level spacings and participation ratios) from disordered graphene dots of finite size, described by the aspect ratio W/L and various geometries, corresponding to finite chiral or achiral carbon nanotubes. Quantum chaotic Wigner energy level-spacing distribution is found for weak disorder, even infinitesimally small disorder for wide and short tight-binding samples (W/L > 1), while for strong disorder, Anderson localization with Poisson level-statistics always sets in. Although pure graphene near the Dirac point corresponds to integrable ballistic statistics diffusive chaotic behavior seems more common for realistic (weakly disordered) finite samples.

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页数：6

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