Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors

Abstract

We study theoretically a junction of a $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductor (PTS) placed between two conventional superconductors. We show that due to non-Hermitian electron-electron interaction in the PTS region and the combination of symmetries, only discrete values of phases of the conventional superconductors yield solutions for Andreev bound states. Remarkably, in the case of $0$ and $\pi$, we obtain growing and decaying in time Andreev bound states. For $\pi /2$ and $3\pi /2$, there is a Majorana zero mode penetrating through the junction in only one direction forming a quasiparticle supercurrent.

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Cited by in corpus (9)

• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Universal hard-edge statistics of non-Hermitian random matrices
• Electric conductivity in non-Hermitian holography
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction