Current-voltage characteristics of the N-I-PT-symmetric non-Hermitian superconductor junction as a probe of non-Hermitian formalisms

Abstract

We study theoretically a junction consisting of a normal metal, PT-symmetric non-Hermitian superconductor, and an insulating thin layer between them (N-I-PTS junction). We calculate current-voltage characteristics for this junction using left-right and right-right bases and compare the results. We find that in the left-right basis, the Andreev-scattered particles move in the opposite direction compared to the right-right basis and conventional Andreev scattering. This leads to profound differences in current-voltage characteristics. Based on this and other signatures, we argue that left-right basis is not applicable in this case. Remarkably, we find that the growth and decay with time of the states with imaginary energies in right-right basis are equilibrated.

References in corpus (23)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Making Sense of Non-Hermitian Hamiltonians
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Symmetry and Topology in Non-Hermitian Physics
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries
• Parity-time-symmetric topological superconductor
• Non-Hermitean Localization and De-Localization
• Relation between $\mathcal{P}\mathcal{T}$-symmetry breaking and topologically nontrivial phases in the SSH and Kitaev models
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
• Non-Hermitian bidirectional robust transport
• Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems
• Nonhermitian transport effects in coupled-resonator optical waveguides
• Compatibility of transport effects in non-Hermitian nonreciprocal systems
• Signature of PT-symmetric non-Hermitian superconductivity in angle-resolved photoelectron fluctuation spectroscopy
• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Quantum transport in non-Hermitian impurity array
• Non-Hermitian quantum gases: a platform for imaginary time crystals
• Controlling the direction of topological transport in a non-Hermitian time-reversal symmetric Floquet ladder

Cited by in corpus (12)

• $\mathcal{P}\mathcal{T}$-symmetric, non-Hermitian quantum many-body physics -- a methodological perspective
• Non-Hermitian Fermi-Dirac Distribution in Persistent Current Transport
• Josephson effect in a junction coupled to an electron reservoir
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Non-Hermitian superconducting diode effect
• Universal hard-edge statistics of non-Hermitian random matrices
• Electric conductivity in non-Hermitian holography
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Meissner effect in non-Hermitian superconductors
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Edge states and persistent current in a PT-symmetric extended Su-Schrieffer-Heeger model with generic boundary conditions