Topological phase transitions of interacting Majorana fermions in an array of vortices

ORAL

Abstract

We study a vortex array in a p-wave superconducting thin film that produces ladder-like lattices with interacting Majorana fermions. We construct a model Hamiltonian with parameters which are tunable via the deformation of the vortex array. We explore topological phase transitions of the system and compute phase diagrams using the density-matrix-renormalization-group method. We further investigate transport properties for experimental detection. Our results have potential application on building devices to engineer strongly correlated Majorana fermions.

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Authors

  • Jiansheng Wu

    • South University of Science and Technology of China, Shenzhen, China

  • Hsiang-Hsuan Hung

    • Department of Physics, University of Texas at Austin
    • Univ of Texas, Austin
    • University of Texas at Austin, Austin, Texas 78712-1192, USA

  • Ching-Kai Chiu

    • Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, Canada V6T 1Z1
    • University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
    • University of British Columbia

  • Kuei Sun

    • University of Texas at Dallas
    • Department of Physics, The University of Texas at Dallas, Richardson, Taxes 75080-3021, USA
    • The University of Texas at Dallas
    • The University of Texas at Dallas, Richardson, Taxes 75080-3021, USA