Exceptional odd-frequency pairing in non-Hermitian superconducting systems

Abstract

We first show the realization of exceptional points in a non-Hermitian superconducting system based on a conventional superconductor and then demonstrate that, surprisingly, the system hosts odd-frequency pairing, solely generated by the non-Hermiticity. While there is a coexistence of even- and odd-frequency pairs under general conditions, we find that the even-frequency term vanishes at the exceptional degeneracies, leaving only odd-frequency pairing. This exceptional odd-frequency pairing is directly given by the imaginary part of the eigenvalues at the exceptional points and can be measured from the spectral function. Our results thus put forward non-Hermitian systems as a powerful platform to realize odd-frequency superconducting pairing.

7 pages, 4 figures + 6 pages, 2 figures supplemental material

References in corpus (15)

• The physics of exceptional points
• Driven quantum transport on the nanoscale
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Non-Hermitian Ring Laser Gyroscopes with Enhanced Sagnac Sensitivity
• Angle-resolved photoemission spectroscopy and its application to topological materials
• Symmetries of Pairing Correlations in Superconductor-Ferromagnet Nanostructures
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Odd-frequency pairing in normal metal/superconductor junctions
• Odd-frequency superconducting pairing and subgap density of states at the edge of a two-dimensional topological insulator without magnetism
• Unconventional Superconductivity in Double Quantum Dots
• Disorder-induced exceptional points and nodal lines in Dirac superconductors
• Epitaxial Superconductor-Semiconductor Two-Dimensional Systems for Superconducting Quantum Circuits
• Floquet engineering bulk odd-frequency superconducting pairs
• Exceptional Non-Hermitian Phases in Disordered Quantum Wires
• Classification of superconducting orders in nonhermitian systems

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• Topological superconductivity enhanced by exceptional points
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• Andreev bound states in junctions formed by conventional and $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian superconductors
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
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• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Quantum many-body scars with unconventional superconducting pairing symmetries via multibody interactions
• Fingerprint of Non-Hermiticity in d-wave Altermagnet
• Quasiparticle interference as a direct experimental probe of bulk odd-frequency superconducting pairing
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• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Majorana zero-modes in a dissipative Rashba nanowire
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• Non-Hermitian skin effect and electronic nonlocal transport
• Non-Hermitian Josephson junctions with four Majorana zero modes
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• Short-time behavior of a system ruled by non-Hermitian time-dependent Hamiltonians
• Hexagonal Warping Control of Exceptional Points in Topological Insulator--Ferromagnetic Heterojunctions
• Physical constraints on effective non-Hermitian systems
• Exceptional flat bands in bipartite non-Hermitian lattices
• Eight-fold classification of superconducting orders