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An outstanding and fundamental problem in contemporary physics is to include and probe the many-body effect in the study of relativistic quantum manifestations of classical chaos. We address this problem using graphene systems described by the Hubbard Hamiltonian in the

An outstanding and fundamental problem in contemporary physics is to include and probe the many-body effect in the study of relativistic quantum manifestations of classical chaos. We address this problem using graphene systems described by the Hubbard Hamiltonian in the setting of resonant tunneling. Such a system consists of two symmetric potential wells separated by a potential barrier, and the geometric shape of the whole domain can be chosen to generate integrable or chaotic dynamics in the classical limit. Employing a standard mean-field approach to calculating a large number of eigenenergies and eigenstates, we uncover a class of localized states with near-zero tunneling in the integrable systems. These states are not the edge states typically seen in graphene systems, and as such they are the consequence of many-body interactions. The physical origin of the non-edge-state type of localized states can be understood by the one-dimensional relativistic quantum tunneling dynamics through the solutions of the Dirac equation with appropriate boundary conditions. We demonstrate that, when the geometry of the system is modified to one with chaos, the localized states are effectively removed, implying that in realistic situations where many-body interactions are present, classical chaos is capable of facilitating greatly quantum tunneling. This result, besides its fundamental importance, can be useful for the development of nanoscale devices such as graphene-based resonant-tunneling diodes.

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Title
  • Quantum Chaotic Tunneling in Graphene Systems With Electron-Electron Interactions
Contributors
Date Created
2014-12-16
Resource Type
  • Text
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    Identifier
    • Digital object identifier: 10.1103/PhysRevB.90.224301
    • Identifier Type
      International standard serial number
      Identifier Value
      2469-9969
    • Identifier Type
      International standard serial number
      Identifier Value
      2469-9950
    Note
    • Copyright 2014 by the American Physical Society. View the article as published at http://dx.doi.org/10.1103/PhysRevB.90.224301

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    This is a suggested citation. Consult the appropriate style guide for specific citation guidelines.

    Ying, Lei, Wang, Guanglei, Huang, Liang, & Lai, Ying-Cheng (2014). Quantum chaotic tunneling in graphene systems with electron-electron interactions. PHYSICAL REVIEW B, 90(22), 224301. http://dx.doi.org/10.1103/PhysRevB.90.224301

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