Transition to Quantum Chaos in Weakly Disordered Graphene Nanoflakes

Details Transition to Quantum Chaos in Weakly Disordered Graphene Nanoflakes Transition to Quantum Chaos in Weakly Disordered Graphene Nanoflakes

2011-12-21

arxiv.org/abs/1112.5078v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 3 figures. Partly presented on "4th Chaotic Modeling and Simulation International Conference" in Agios Nikolaos, Cret

Scientific paper

We analyze numerically ensembles of tight-binding Hamiltonians describing highly-symmetric graphene nanoflakes with weak diagonal disorder induced by random electrostatic potential landscapes. When increasing the disorder strength, statistical distribution of energy levels evolves from Poissonian to Wigner, indicating the transition to quantum chaos. Power laws with the universal exponent map the disorder strength in nanoflakes of different sizes, boundaries, and microscopic disorder types onto a single parameter in additive random-matrix model.

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