Floquet Exceptional Topological Insulator

Abstract

We propose a novel way of modulating exceptional topology by implementing Floquet engineering in non-hermitian (NH) systems. We introduce Floquet exceptional topological insulator which results from shining light on a conventional three-dimensional NH topological insulator. Lightmatter interaction facilitates the quantum phases of matter to exhibit a novel phenomenon, where, the point gaps in the bulk host surface states. These distinct surface states either fill the point gap in the complex eigenspectrum or exhibit exceptional points in the presence of a magnetic field. We also highlight the existence of a quantum anomaly generated by photo-induced modulation. The existence of the Floquet biorthogonal Chern number and spectral winding number show that the momentum slices exhibit NH skin effect, even though the system as a whole does not. We also employ wave-dynamics evolution to illustrate the NH surface skin effect.

arXiv comment18 pages, 12 figures

References in corpus (47)

• Edge states and topological invariants of non-Hermitian systems
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Exceptional Topology of Non-Hermitian Systems
• Robust optical delay lines via topological protection
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Topological Origin of Non-Hermitian Skin Effects
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Floquet Engineering of Quantum Materials
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Boundary Modes
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Non-Hermitian Topological Invariants in Real Space
• Creating stable Floquet-Weyl semimetals by laser-driving of 3D Dirac materials
• Higher-order non-Hermitian skin effect
• New topological invariants in non-Hermitian systems
• Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
• The Insulating State of Matter: A Geometrical Theory
• Entanglement Spectrum of a Disordered Topological Chern Insulator
• Fractional Quantum Hall Effect in Optical Lattices
• Floquet generation of Majorana end modes and topological invariants
• Signatures of three coalescing eigenfunctions
• Dissipative Floquet Topological Systems
• Disordered Topological Insulators: A Non-Commutative Geometry Perspective
• Fermion doubling theorems in 2D non-Hermitian systems for Fermi points and exceptional points
• Floquet Topological Phases of Non-Hermitian Systems
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Exceptional Topological Insulators
• Majorana edge modes in the Kitaev model
• Higher Order Topological Insulator via Periodic Driving
• Non-Hermitian Topological Phases: Principles and Prospects
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Photoninduced Weyl half-metal phase and spin filter effect from topological Dirac semimetals
• Symmetry and topological classification of Floquet non-Hermitian systems
• Charge density waves in Weyl semimetals
• Controlling Exceptional Points with Light
• Topological characterization and stability of Floquet Majorana modes in Rashba nanowire
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Theory of the fractional quantum Hall effect in Weyl semimetals
• A new approach to transport coefficients in the quantum spin Hall effect
• Non-Hermitian higher-Order Weyl semimetal with surface diabolic points
• Dynamical signatures of point-gap Weyl semimetal
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires

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• Exceptional second-order topological insulators
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Breakdown of Non-Bloch Bulk-Boundary Correspondence and Emergent Topology in Floquet Non-Hermitian Systems
• Floquet multiple exceptional points with higher-order skin effect
• Liouvillian topology and nonreciprocal dynamics in open Floquet chains
• Non-Hermitian second-order topological insulator with point gap