Non-Hermitian second-order topological superconductors

Abstract

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the non-Hermiticity and the second-order topological superconductors in two spatial dimensions. We investigate that the non-Hermiticity drives both the bulk states and topological edge modes to accumulate toward opposite corners of the system depending on the particle and hole degrees of freedom protected by the particle-hole symmetry. Furthermore, the degeneracy of the Majorana corner modes can be broken in terms of both the eigenenergies and the eigenstates. Through an edge theory analysis, we elucidate the impact of non-Hermiticity and enable the extension of higher-order topological superconductors to the realm of non-Hermitian systems. We show that $Z_2$ skin effect and $Z_2$ skin-topological modes reveal the universal characteristics of non-Hermitian second-order topological superconductors and the generalized bulk-boundary correspondence is further enriched by the particle-hole symmetry.

arXiv comment8 pages, 5 figures

References in corpus (99)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Edge states and topological invariants of non-Hermitian systems
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Topological superconductors: a review
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Non-Bloch Band Theory of Non-Hermitian Systems
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Chern bands
• Observation of bulk boundary correspondence breakdown in topolectrical circuits
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Anatomy of skin modes and topology in non-Hermitian systems
• Introduction to topological superconductivity and Majorana fermions
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Topological Superconductivity and Superfluidity
• Non-Hermitian skin effect and chiral damping in open quantum systems
• Non-Hermitian Topology and Exceptional-Point Geometries
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Classical higher-order topological insulators
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Non-Hermitian Topological Invariants in Real Space
• Critical non-Hermitian Skin Effect
• Topological phase transition in non-Hermitian quasicrystals
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian Topological Sensors
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits
• Higher-order non-Hermitian skin effect
• Observation of higher-order non-Hermitian skin effect
• Topological Non-Hermitian skin effect
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Majorana corner modes in a high-temperature platform
• Topological states of non-Hermitian systems
• High-Temperature Majorana Corner States
• Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class
• Weak-Pairing Higher Order Topological Superconductors
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Helical Hinge Majoranas in Iron-Based Superconductors
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Non-Hermitian Edge Burst
• Higher-order topological odd-parity superconductors
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Non-Hermitian Dirac Cones
• Unraveling non-Hermitian pumping: emergent spectral singularities and anomalous responses
• Floquet Topological Phases of Non-Hermitian Systems
• Non-Hermitian second-order skin and topological modes
• Second-order Topological Superconductors with Mixed Pairing
• Jones polynomial and knot transitions in topological semimetals
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Hybrid skin-topological modes without asymmetric couplings
• Geometric Response and Disclination-Induced Skin Effects in Non-Hermitian Systems
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Topological and holonomic quantum computation based on second-order topological superconductors
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Higher-order topological superconductors in $\mathcal{P}$-, $\mathcal{T}$-odd quadrupolar Dirac materials
• Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions
• Exceptional Spin Liquids from Couplings to the Environment
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Hierarchy of higher-order topological superconductors in three dimensions
• Non-Hermitian Chiral Skin Effect
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Topological origin of quantized transport in non-Hermitian Floquet chains
• Higher-order topological superconductors based on weak topological insulators
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Universal characteristics of one-dimensional non-Hermitian superconductors

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