4.6 Article

Quantum chaos in weakly disordered graphene

Journal

PHYSICAL REVIEW B
Volume 79, Issue 20, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.205420

Keywords

carbon nanotubes; chaos; graphene; tight-binding calculations; Wigner crystal

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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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