Floquet engineering of point-gapped topological superconductors

Abstract

Non-Hermitian systems exhibit two distinct topological classifications based on their gap structure: line-gap and point-gap topologies. Although point-gap topology is intrinsic to non-Hermitian systems, its systematic construction remains a challenge. Here, we present the Floquet engineering approach for realizing point-gapped topological superconductors. By combining Floquet theory with particle-hole symmetry (PHS), we show that a point gap hosting robust Majorana edge modes emerges at the overlap of Floquet bands with opposite winding numbers. In the thermodynamic limit, even weak non-Hermiticity opens a point gap from a gapless spectrum, driving a topological phase transition and breaking non-Bloch parity-time ($\mathcal{P}\mathcal{T}$) symmetry. This transition is accompanied by the appearance of the Floquet $Z_2$ skin effect. Furthermore, the point-gapped topological phase and the non-Bloch $\mathcal{P}\mathcal{T}$ symmetry exhibit size-dependent phenomena driven by the critical skin effect. Our work offers a new pathway for exploring the point-gapped topological phases in non-Hermitian systems.

6 pages, 5 figures

References in corpus (42)

• Photovoltaic Hall effect in graphene
• Topological Origin of Non-Hermitian Skin Effects
• Non-Hermitian Topology and Exceptional-Point Geometries
• Topological Transition in a Non-Hermitian Quantum Walk
• Topological phase transition in non-Hermitian quasicrystals
• Universal non-Hermitian skin effect in two and higher dimensions
• Non-Hermitian topological phenomena: A review
• Topological Non-Hermitian skin effect
• Observation of non-Bloch parity-time symmetry and exceptional points
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Exceptional Topological Insulators
• Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Experimental Realization of Geometry-Dependent Skin Effect in a Reciprocal Two-Dimensional Lattice
• Stabilizing Non-Hermitian Systems by Periodic Driving
• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Geometric Origin of Non-Bloch PT Symmetry Breaking
• Dual topological characterization of non-Hermitian Floquet phases
• Non-Hermitian Floquet Topological Matter -- A Review
• Hermitian Bulk -- Non-Hermitian Boundary Correspondence
• Loss-induced Floquet non-Hermitian skin effect
• Geometry-dependent skin effects in reciprocal photonic crystals
• Biorthogonal Dynamical Quantum Phase Transitions in Non-Hermitian Systems
• Symmetry and topological classification of Floquet non-Hermitian systems
• Bulk-boundary correspondence in point-gap topological phases
• Topological energy braiding of the non-Bloch bands
• Quantum-Squeezing-Induced Point-Gap Topology and Skin Effect
• Universal platform of point-gap topological phases from topological materials
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Scale-free non-Hermitian skin effect in a boundary-dissipated spin chain
• Universal scalefree non-Hermitian skin effect near the Bloch point
• Electric Circuit Simulation of Floquet Topological Insulators
• Non-Hermitian second-order topological superconductors
• Identifying non-Hermitian critical points with quantum metric
• Universal characteristics of one-dimensional non-Hermitian superconductors
• Point-Gap Bound States in Non-Hermitian Systems
• Universal Route for the Emergence of Exceptional Points in PT-Symmetric Metamaterials with Unfolding Spectral Symmetries
• Observation of Impurity-Induced Scale-Free Localization in a Disordered Non-Hermitian Electrical Circuit
• Floquet Exceptional Topological Insulator
• Quantum criticality of generalized Aubry-André models with exact mobility edges using fidelity susceptibility

Cited by in corpus (9)

• Non-Hermitian Second-Order Topological Phases and Bipolar Skin Effect in Photonic Kagome Crystals
• Theory for the spectral splitting exponent of exceptional points
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Non-Hermitian higher-order topological insulators enabled by altermagnet engineering
• Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Liouvillian skin effects in two-dimensional electron systems at finite temperatures
• Floquet multiple exceptional points with higher-order skin effect
• Winding-control mechanism of non-Hermitian systems