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  • Letter
  • Open Access

Enhancing the Josephson diode effect with Majorana bound states

Jorge Cayao1, Naoto Nagaosa2, and Yukio Tanaka3,4

  • 1Department of Physics and Astronomy, Uppsala University, Box 516, S-751 20 Uppsala, Sweden
  • 2Center for Emergent Matter Science (CEMS), RIKEN, Wako, Saitama 351-0198, Japan
  • 3Department of Applied Physics, Nagoya University, Nagoya 464–8603, Japan
  • 4Research Center for Crystalline Materials Engineering, Nagoya University, Nagoya 464-8603, Japan

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Phys. Rev. B 109, L081405 – Published 26 February, 2024

DOI: https://doi.org/10.1103/PhysRevB.109.L081405

Abstract

We consider phase-biased Josephson junctions with spin-orbit coupling under external magnetic fields and study the emergence of the Josephson diode effect in the presence of Majorana bound states. We show that junctions having middle regions with Zeeman fields along the spin-orbit axis develop a low-energy Andreev spectrum that is asymmetric with respect to the superconducting phase difference ϕ=π, which is strongly influenced by Majorana bound states in the topological phase. This asymmetric Andreev spectrum gives rise to anomalous current-phase curves and critical currents that are different for positive and negative supercurrents, thus signaling the emergence of the Josephson diode effect. While this effect exists even in the trivial phase, it gets enhanced in the topological phase due to the spatial nonlocality of Majorana bound states. Our paper thus establishes the utilization of topological superconductivity for enhancing the functionalities of Josephson diodes.

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Phys. Rev. B 109, L081405– Published 26 February, 2024
  • Received 4 October 2023
  • Accepted 8 February 2024
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