Topological Phase Transition driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics

Abstract

Quantum phase transitions are intriguing and fundamental cooperative phenomena in physics. Analyzing a superconducting nanowire with spin-dependent non-Hermitian hopping, we discover a topological quantum phase transition driven by infinitesimal cascade instability. The anomalous phase transition is complementary to the universal non-Bloch wave behavior of non-Hermitian systems. We show that an infinite small magnetic field drastically suppresses the non-Hermitian skin effect, inducing a topological phase with Majorana boundary states. Furthermore, by identifying the bulk topological invariant, we establish the non-Hermitian bulk-boundary correspondence that does not have a Hermitian counterpart. We also discuss an experimental realization of the system by using the spin-current injection to a quantum wire.

6+4 pages, 3+1 figures

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Cited by in corpus (106)

• Non-Hermitian Physics
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• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Non-Hermitian Topological Invariants in Real Space
• Critical non-Hermitian Skin Effect
• Non-Hermitian topological phenomena: A review
• Higher-order non-Hermitian skin effect
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Second-order topological non-Hermitian skin effects
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Generalized bulk-edge correspondence for non-hermitian topological systems
• Nonunitary Scaling Theory of Non-Hermitian Localization
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Non-Hermitian second-order skin and topological modes
• Mirror skin effect and its electric circuit simulation
• Many-body topology of non-Hermitian systems
• Helical damping and anomalous critical non-Hermitian skin effect
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Unraveling the Non-Hermitian Skin Effect in Dissipative Systems
• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
• Quantum anomaly, non-Hermitian skin effects, and entanglement entropy in open systems
• Non-Hermitian skin effect and self-acceleration
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
• Magnetic suppression of non-Hermitian skin effects
• Higher-Order Weyl-Exceptional-Ring Semimetals
• Quantized classical response from spectral winding topology
• Enhancement of Second-Order Non-Hermitian Skin Effect by Magnetic Fields
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Non-Hermitian Pseudo-Gaps
• Detecting the universal fractional entropy of Majorana zero modes
• Non-Hermitian skin effect beyond the tight-binding models
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Ultrafast and Anharmonic Rabi Oscillations between Non-Bloch-Bands
• Topological semimetal phase with exceptional points in one-dimensional non-Hermitian systems
• Hermitian zero modes protected by nonnormality: Application of pseudospectra
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• Non-Hermitian Mott Skin Effect
• Curving the space by non-Hermiticity
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• Exceptional band touching for strongly correlated systems in equilibrium
• Fate of zero modes in a finite Su-Schrieffer-Heeger Model with $\mathcal{P}\mathcal{T}$ Symmetry
• Non-Hermitian skin effect in magnetic systems
• Non-Hermitian Aubry-André model with Power-Law Hopping
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• Non-Hermitian skin effect in one-dimensional interacting Bose gas
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• Connections between the Open-boundary Spectrum and Generalized Brillouin Zone in Non-Hermitian Systems
• Non-Hermitian Maryland Model
• Interaction induced bi-skin effect in an exciton-polariton system
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
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• Universal platform of point-gap topological phases from topological materials
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• Amplification of quantum signals by the non-Hermitian skin effect
• Bound states and photon emission in non-Hermitian nanophotonics
• Topological enhancement of non-normality in non-Hermitian skin effects
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Dissipative analog of four-dimensional quantum Hall physics
• $\eta$-pairing ground states in the non-Hermitian Hubbard model
• Reduction of one-dimensional non-Hermitian point-gap topology by correlations
• Dynamic magnetization in non-Hermitian quantum spin system
• Point-gap topology with complete bulk-boundary correspondence in dissipative quantum systems
• Non-Hermitian BCS-BEC evolution with a complex scattering length
• Degeneracy and defectiveness in non-Hermitian systems with open boundary
• Phase transitions and bunching of correlated particles in a non-Hermitian quasicrystal
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Non-normal Hamiltonian dynamics in quantum systems and its realization on quantum computers
• Non-hermitian topology in multiterminal superconducting junctions
• Dynamical preparation of a steady ODLRO state in the Hubbard model with local non-Hermitian impurity
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• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
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• Majorana zero-modes in a dissipative Rashba nanowire
• Efimov physics in the complex plane
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• Magnetization in a non-equilibrium quantum spin system
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• Non-Hermitian magnetic moment
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• A new Berry phase term in parity-time symmetric non-Hermitian spin-1/2 quantum systems
• Bulk-boundary correspondence in topological two-dimensional non-Hermitian systems: Toeplitz operators and singular values
• Scaling rule in critical non-Hermitian skin effect
• Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays