Bound states in single and double Y-junction quantum dot.

POSTER

Abstract

We present the solution of quantum-mechanical problem of a particle in Y-junction quantum dot. The single bound state with Dirichlet Laplacian is described. The bound state presence is examined for the case of junction being asymmetric, i.e. going from C3V to C2v group when the width of one of the ligament is increased. We further investigated the solution of two connected Y-junction with two bound states. These finding could be useful for building 2D two-level systems for quantum qubits or quantum waveguide applications.

*The work was supported by National Science Foundation (award # 2044049). This work in parts was supported by Deanship of Scientific research at JUST (project # 350-2020). The computation were performed at Holland Computing Center.

Presenters

  • Renat Sabirianov

    • University of Nebraska - Omaha

Authors

  • Renat Sabirianov

    • University of Nebraska - Omaha

  • Wai-Ning Mei

    • University of Nebraska - Omaha

  • Ahmad Alsaad

    • Jordan University of Science and Technology, Jordan
    • JUST, Jordan

  • Ather Mahmood

    • University of Nebraska - Lincoln
    • Department of Physics and Astronomy and the Nebraska Center for Materials and Nanoscience, University of Nebraska - Lincoln
    • Department of Physics and Astronomy and the Nebraska Center for Materials and Nanoscience, University of Nebraska-Lincoln

  • Abhilash Mishra

    • University of Nebraska - Lincoln

  • Christian Binek

    • University of Nebraska - Lincoln
    • Department of Physics and Astronomy and the Nebraska Center for Materials and Nanoscience, University of Nebraska-Lincoln