Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires

Abstract

Coupled Majorana zero modes with nonzero energies are generally detrimental to the non-Abelian statistics due to the additional dynamic phase. Nevertheless, we show that a well-connected lead can introduce a local non-Hermitian dissipation term to shift the energies of the both coupled Majorana modes to zero, and surprisingly turn the coupled Majorana mode far from the lead into a dark Majorana mode with exponentially small dissipation. This dark Majorana mode can conquer the drawback of the partially overlapped Majorana zero modes and possess the properties of true Majorana zero mode such as the perfect fractional Josephson effect and the non-Abelian statistics.

arXiv comment6 pages, 4 figures

References in corpus (71)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Edge states and topological invariants of non-Hermitian systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Majorana fermions in a tunable semiconductor device
• Exponential Protection of Zero Modes in Majorana Islands
• Anomalous edge state in a non-Hermitian lattice
• Non-Hermitian Chern bands
• Anatomy of skin modes and topology in non-Hermitian systems
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Quantized Majorana conductance
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Splitting of a Cooper pair by a pair of Majorana bound states
• Evidence of topological superconductivity in planar Josephson junctions
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Ballistic Majorana nanowire devices
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Topological Superconductivity in a Planar Josephson Junction
• Majorana bound states from exceptional points in non-topological superconductors
• Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor
• Topological invariance and global Berry phase in non-Hermitian systems
• Two-dimensional platform for networks of Majorana bound states
• High-resolution studies of the Majorana atomic chain platform
• Reproducing topological properties with quasi-Majorana states
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Majorana bound states in non-homogeneous semiconductor nanowires
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Next steps of quantum transport in Majorana nanowire devices
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Majorana splitting from critical currents in Josephson junctions
• Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
• Conductance-matrix symmetries of a three-terminal hybrid device
• On controlling the bound states in quantum-dot hybrid-nanowire
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Quantized conductance of Majorana zero mode in the vortex of the topological superconductor (Li0.84Fe0.16)OHFeSe
• Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires
• Robust low-energy Andreev bound states in semiconductor-superconductor heterostructures: Importance of partial separation of component Majorana bound states
• Majorana Braiding Dynamics on Nanowires
• Approaching a topological phase transition in Majorana nanowires
• Non-Abelian braiding of Dirac fermionic modes using topological corner states in higher-order topological insulator
• Driven Dissipative Majorana Dark Spaces
• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Proposed Method for Distinguishing Majorana Peak from Other Peaks: Tunneling Spectroscopy with Ohmic Dissipation using Resistive Electrodes
• Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
• Finite length effect on supercurrents between trivial and topological superconductors
• Quench Dynamics of Josephson Current in a Topological Josephson Junction
• Universal conductance scaling of Andreev reflections using a dissipative probe
• Non-Abelian Geometric Dephasing
• Large zero-bias peaks in InSb-Al hybrid semiconductor-superconductor nanowire devices

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• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Universal platform of point-gap topological phases from topological materials
• Majorana zero-modes in a dissipative Rashba nanowire
• Non-Hermitian superconducting diode effect
• Dissipation Enhanced Unidirectional Transport in Topological Systems
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles