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Phase Control of Majorana Bound States in a Topological X Junction

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Abstract

Topological superconductivity supports exotic Majorana bound states (MBS) which are chargeless zero-energy emergent quasiparticles. With their non-Abelian statistics, they are suitable for implementing fault-tolerant topological quantum computing [1]. While the main efforts to realize MBS have focused on 1D systems, the onset of topological superconductivity requires delicate parameter tuning and geometric constraints pose significant challenges for their control and demonstration of non-Abelian statistics. To overcome these challenges, building on recent experiments in planar Josephson junctions (JJs) [2-4], we propose a MBS platform of X-shaped JJs. This versatile implementation reveals how external flux control of the superconducting phase difference can generate and manipulate multiple MBS pairs to probe non-Abelian statistics. The underlying topological superconductivity exists over a large parameter space, consistent with materials used in our fabrication of such X junctions, as an important step towards topological quantum computing.
[1] C. Nayak, et. al, Rev. Mod. Phys. 80, 1083 (2008).
[2] A. Fornieri, et. al, Nature 569, 89 (2019).
[3] H. Ren, et. al, Nature 569, 93 (2019).
[4] W. Mayer, et. al, arXiv:1906.01179 (2019).

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Presenters

  • Tong Zhou

    Department of Physics, State Univ of NY - Buffalo, Department of Physics, State University at New York at Buffalo, Physics, University at Buffalo, State University of New York, State Univ of NY - Buffalo

Authors

  • Tong Zhou

    Department of Physics, State Univ of NY - Buffalo, Department of Physics, State University at New York at Buffalo, Physics, University at Buffalo, State University of New York, State Univ of NY - Buffalo

  • Matthieu Dartiailh

    Department of Physics, New York University, Physics, New York University, New York University, Center for Quantum Phenomena, New York University, New York Univ NYU, Center for Quantum Phenomena, NYU

  • William Mayer

    Department of Physics, New York University, New York University, Physics, New York University, New York Univ NYU, Center for Quantum Phenomena, New York University

  • Jong E Han

    Department of Physics, State Univ of NY - Buffalo, State Univ of NY - Buffalo

  • Alex Matos Abiague

    Wayne State Univ, Department of Physics and Astronomy, Wayne State University, Wayne State University, Physics and Astronomy, Wayne State University

  • Javad Shabani

    Department of Physics, New York University, New York University, Physics, New York University, New York Univ NYU, Center for Quantum Phenomena, New York University, Center for Quantum Phenomena, NYU

  • Igor Zutic

    Department of Physics, State Univ of NY - Buffalo, University at Buffalo, Physics, Buffalo State Univeristy of New York, Department of Physics, State University at New York at Buffalo, State Univ of NY - Buffalo, Physics, University at Buffalo, State University of New York, Department of Physics, University at Buffalo, Department of physics, University at Buffalo