Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice

Abstract

Non-Hermitian systems can host topological states with novel topological invariants and bulk-edge correspondences that are distinct from conventional Hermitian systems. Here we show that two unique classes of non-Hermitian 2D topological phases, a 2$\mathbb{Z}$ non-Hermitian Chern insulator and a ${\mathbb{Z}}_2$ topological semimetal, can be realized by tuning staggered asymmetric hopping strengths in a 1D superlattice. These non-Hermitian topological phases support real edge modes due to robust $\mathcal{P}\mathcal{T}$-symmetric-like spectra and can coexist in certain parameter regime. The proposed phases can be experimentally realized in photonic or atomic systems and may open an avenue for exploring novel classes of non-Hermitian topological phases with 1D superlattices.

arXiv comment8 pages; 6 figures

References in corpus (58)

• Berry Phase Effects on Electronic Properties
• Topological Photonics
• Classification of topological quantum matter with symmetries
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Experimental realisation of the topological Haldane model
• Edge states and topological invariants of non-Hermitian systems
• Robust optical delay lines via topological protection
• Topological phases of non-Hermitian systems
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Symmetry and Topology in Non-Hermitian Physics
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Acoustic topological insulator and robust one-way sound transport
• Topological Band Theory for Non-Hermitian Hamiltonians
• Anomalous edge state in a non-Hermitian lattice
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Loss-induced suppression and revival of lasing
• Topolectrical circuit realization of topological corner modes
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Lasing in topological edge states of a 1D lattice
• Topological Bands for Ultracold Atoms
• Non-Hermitian Chern bands
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
• Topological Thouless Pumping of Ultracold Fermions
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Topology of crystalline insulators and superconductors
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Second-Order Topological Phases in Non-Hermitian Systems
• Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
• Topological Hybrid Silicon Microlasers
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
• Experimental realization of a Weyl exceptional ring
• Three-dimensional topological photonic crystal with a single surface Dirac cone
• Edge states and topological phases in one-dimensional optical superlattices
• Photonic Topological Insulating Phase Induced Solely by Gain and Loss
• Higher-order topological corner states induced by gain and loss
• Robust light transport in non-Hermitian photonic lattices
• Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
• Topological invariance and global Berry phase in non-Hermitian systems
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Topological Phases in Non-Hermitian Aubry-André-Harper Models
• PT Symmetric Aubry-Andre Model
• Explicit Gauge Fixing for Degenerate Multiplets: A Generic Setup for Topological Orders
• A Classification of Non-Hermitian Random Matrices
• Topological photonics: from crystals to particles
• Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
• Symmetry protected topological phases characterized by isolated exceptional points
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Interacting non-Hermitian ultracold atoms in a harmonic trap: Two-body exact solution and high-order exceptional point
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Eigenstates Transition Without Undergoing an Adiabatic Process
• Non-Hermitian Photonics based on Charge-Parity Symmetry

Cited by in corpus (11)

• Localization and topological transitions in non-Hermitian quasiperiodic lattices
• Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Non-Hermitian Topological Phases: Principles and Prospects
• Interaction induced bi-skin effect in an exciton-polariton system
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
• Two-dimensional non-Hermitian topological phases induced by asymmetric hopping in a one-dimensional superlattice
• Two-dimensional anisotropic non-Hermitian Lieb lattice
• Berry curvature inside parity-time-symmetry protected exceptional surface
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes