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Nonhyperbolicity, as characterized by the coexistence of Kolmogorov-Arnold-Moser (KAM) tori and chaos in the phase space, is generic in classical Hamiltonian systems. An open but fundamental question in physics concerns

Nonhyperbolicity, as characterized by the coexistence of Kolmogorov-Arnold-Moser (KAM) tori and chaos in the phase space, is generic in classical Hamiltonian systems. An open but fundamental question in physics concerns the relativistic quantum manifestations of nonhyperbolic dynamics. We choose the mushroom billiard that has been mathematically proven to be nonhyperbolic, and study the resonant tunneling dynamics of a massless Dirac fermion.

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Date Created
  • 2013-09-18
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  • Text
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    Identifier
    • Digital object identifier: 10.1103/PhysRevB.87.224304
    • Identifier Type
      International standard serial number
      Identifier Value
      2469-9969
    • Identifier Type
      International standard serial number
      Identifier Value
      2469-9950
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    Ni, X., Huang, L., Ying, L., & Lai, Y. (2013). Relativistic quantum tunneling of a dirac fermion in nonhyperbolic chaotic systems. Physical Review B, 87(22), 224304. doi:10.1103/PhysRevB.87.224304

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