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  • Letter

Non-Abelian monopoles in the multiterminal Josephson effect

Hong-Yi Xie1, Jaglul Hasan2, and Alex Levchenko2

  • 1Division of Quantum State of Matter, Beijing Academy of Quantum Information Sciences, Beijing 100193, China
  • 2Department of Physics, University of Wisconsin–Madison, Madison, Wisconsin 53706, USA

Phys. Rev. B 105, L241404 – Published 9 June, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L241404

Abstract

In this Letter we present a detailed theoretical analysis for the spectral properties of Andreev bound states in the multiterminal Josephson junctions by employing a symmetry-constrained scattering matrix approach. We find that in the synthetic multidimensional space of superconducting phases, crossings of Andreev bands may support non-Abelian SU(2) monopoles with a topological charge characterized by the second class Chern number. We propose that these topological defects can be detected via a nonlinear response measurement of the current autocorrelations. In addition, multiterminal Josephson junction devices can be tested as a hardware platform for realizing holonomic quantum computation.

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