Quantum chaos in disordered graphene

Abstract

We have studied numerically the statistics for electronic states (level-spacings and participation ratios) from disordered graphene of finite size, described by the aspect ratio $W/L$ and various geometries, including finite or torroidal, 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 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 chaotic diffusive behavior is more common for realistic samples.

5 pages 3 figures. (for high resolution figures send an e-mail to [email protected])

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• Chaotic Quantum Transport near the Charge Neutrality Point in Inverted Type-II InAs/GaSb Field-Effect Transistors
• Edge states versus diffusion in disordered graphene flakes
• Localisation and finite-size effects in graphene flakes
• Delocalization in infinite disordered 2D lattices of different geometry
• Physics in non-fixed spatial dimensions via random networks
• Spectral approach to transport in the 2D honeycomb lattice with substitutional disorder
• Two Dimensional Honeycomb Materials: random fields, dissipation and fluctuations