Quantum chaotic scattering in graphene systems

Rui Yang; Liang Huang; Ying-Cheng Lai; Celso Grebogi

doi:10.1209/0295-5075/94/40004

Quantum chaotic scattering in graphene systems

Rui Yang, Liang Huang, Ying-Cheng Lai, Celso Grebogi

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We investigate the transport fluctuations in both non-relativistic quantum dots and graphene quantum dots with both hyperbolic and nonhyperbolic chaotic scattering dynamics in the classical limit. We find that nonhyperbolic dots generate sharper resonances than those in the hyperbolic case. Strikingly, for the graphene dots, the resonances tend to be much sharper. This means that transmission or conductance fluctuations are characteristically greatly enhanced in relativistic as compared to non-relativistic quantum systems.

Original language	English (US)
Article number	40004
Journal	EPL
Volume	94
Issue number	4
DOIs	https://doi.org/10.1209/0295-5075/94/40004
State	Published - May 2011

ASJC Scopus subject areas

General Physics and Astronomy

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title = "Quantum chaotic scattering in graphene systems",

abstract = "We investigate the transport fluctuations in both non-relativistic quantum dots and graphene quantum dots with both hyperbolic and nonhyperbolic chaotic scattering dynamics in the classical limit. We find that nonhyperbolic dots generate sharper resonances than those in the hyperbolic case. Strikingly, for the graphene dots, the resonances tend to be much sharper. This means that transmission or conductance fluctuations are characteristically greatly enhanced in relativistic as compared to non-relativistic quantum systems.",

author = "Rui Yang and Liang Huang and Ying-Cheng Lai and Celso Grebogi",

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AU - Lai, Ying-Cheng

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N2 - We investigate the transport fluctuations in both non-relativistic quantum dots and graphene quantum dots with both hyperbolic and nonhyperbolic chaotic scattering dynamics in the classical limit. We find that nonhyperbolic dots generate sharper resonances than those in the hyperbolic case. Strikingly, for the graphene dots, the resonances tend to be much sharper. This means that transmission or conductance fluctuations are characteristically greatly enhanced in relativistic as compared to non-relativistic quantum systems.

AB - We investigate the transport fluctuations in both non-relativistic quantum dots and graphene quantum dots with both hyperbolic and nonhyperbolic chaotic scattering dynamics in the classical limit. We find that nonhyperbolic dots generate sharper resonances than those in the hyperbolic case. Strikingly, for the graphene dots, the resonances tend to be much sharper. This means that transmission or conductance fluctuations are characteristically greatly enhanced in relativistic as compared to non-relativistic quantum systems.

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Quantum chaotic scattering in graphene systems

Abstract

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