Floquet topological transitions in a driven one-dimensional topological insulator

Abstract

The Su-Schrieffer-Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting non-trivial edge states. By using Floquet theory we study how the spectrum of this one-dimensional topological insulator is affected by a time-dependent potential. In particular, we evidence the competition among different photon-assisted processes and the native topology of the unperturbed Hamiltonian to settle the resulting topology at different driving frequencies. While some regions of the quasienergy spectrum develop new gaps hosting Floquet edge states, the native gap can be dramatically reduced and the original edge states may be destroyed or replaced by new Floquet edge states. Our study is complemented by an analysis of Zak phase applied to the Floquet bands. Besides serving as a simple example for understanding the physics of driven topological phases, our results could find a promising test-ground in cold matter experiments.

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Cited by in corpus (90)

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• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Observation of anomalous π modes in photonic Floquet engineering
• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Perspective on topological states of non-Hermitian lattices
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• Edge states at the interface of non-Hermitian systems
• Complex classes of periodically driven topological lattice systems
• Direct Observation of Topology from Single-photon Dynamics on a Photonic Chip
• The Floquet-Boltzmann equation
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• Floquet band structure of a semi-Dirac system
• Majorana bound states in semiconducting nanostructures
• Topological multiband photonic superlattices
• The Charging Performance of Su-Schrieffer-Heeger Quantum Battery
• Universal fluctuations of Floquet topological invariants at low frequencies
• Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Floquet topological phase transitions in a periodically quenched dimer
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Quantum Charge Pumps with Topological Phases in Creutz Ladder
• PT Symmetric Floquet Topological Phase in SSH Model
• Stable topological edge states in a non-Hermitian four-band model
• Transport in Floquet-Bloch bands
• Limits of topological protection under local periodic driving
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Robustness of symmetry-protected topological states against time-periodic perturbations
• Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
• Simulation of 1D topological phases in driven quantum dot arrays
• Gauge-induced Floquet topological states in photonic waveguides
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• Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
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• Edge states in dynamical superlattices
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• Floquet bound states around defects and adatoms in graphene
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• Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder
• Electric Circuit Simulation of Floquet Topological Insulators
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• Connecting active and passive $\mathcal{P}\mathcal{T}$-symmetric Floquet modulation models
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• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Topological properties of a periodically driven Creutz ladder
• Anomalous Floquet Phases. A resonance phenomena
• $\pi$ mode lasing in the non-Hermitian Floquet topological system
• Non-Floquet engineering in periodically driven non-Hermitian systems
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
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• Spin texture of an irradiated warped topological insulator surface
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Anomalous thermoelectric properties of a Floquet topological insulator with spin momentum non-orthogonality
• Nonlinear signatures of Floquet band topology
• Exotic odd-even parity effects in transmission phase, (Andreev) conductance, and shot noise of a dimer atomic chain by topology
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• $\pi$-solitons on a ring of waveguides
• Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model
• Band Tuning of Phosphorene Semiconductor via Floquet Theory
• Non-diagonal disorder enhanced topological properties of graphene with laser irradiation
• Modulation-induced long-range magnon bound states in one-dimensional optical lattices
• Edge state behavior in a Su-Schrieffer-Heeger like model with periodically modulated hopping
• Floquet valley Hall edge solitons
• Floquet defect solitons
• Resonant edge-site pumping of polaritonic Su-Schrieffer-Heeger lattices
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Steering edge currents through a Floquet topological insulator
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