Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder
arXiv:2201.02414 · doi:10.1103/PhysRevB.105.L201114
Abstract
The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various static settings with periodic structures. Here, we theoretically investigate topological phase transitions and establish the QTI phase in a periodically driven system with disorder. In the clean limit, the Floquet QTI phase emerges from a topologically trivial band structure driven by elliptically polarized irradiation. More strikingly, starting from a pure and static system with trivial topology, we unveil an intriguing QTI phase which necessitates the simultaneous presence of disorder and periodic driving. Furthermore, we reveal that particle-hole symmetry is sufficient to protect the QTI. Our work not only establishes a new strategy to design QTIs but also enriches the symmetry-protected mechanism of higher-order topology.
arXiv comment6 pages, 3 figures
References in corpus (60)
- Topological Insulators
- Topological insulators and superconductors
- Topological Order and the Quantum Spin Hall Effect
- Quantized Electric Multipole Insulators
- Higher-Order Topological Insulators
- Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- -dimensional edge states of rotation symmetry protected topological states
- Topolectrical circuit realization of topological corner modes
- Reflection symmetric second-order topological insulators and superconductors
- Observation of a phononic quadrupole topological insulator
- Floquet Engineering of Quantum Materials
- Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Topological Anderson Insulator
- Observation of photonic anomalous Floquet Topological Insulators
- Classical higher-order topological insulators
- Photonic quadrupole topological phases
- Theory of the topological Anderson insulator
- Observation of the topological Anderson insulator in disordered atomic wires
- Photonic Topological Anderson Insulators
- Light-induced emergent phenomena in 2D materials and topological materials
- Acoustic realization of quadrupole topological insulators
- Disorder-induced Floquet Topological Insulators
- Quantum Oscillation from In-gap States and non-Hermitian Landau Level Problem
- The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
- Topology and Broken Symmetry in Floquet Systems
- Experimental Observation of Higher-Order Topological Anderson Insulators
- Topological Anderson Insulator in Three Dimensions
- Observation of an acoustic octupole topological insulator
- Boundary Green functions of topological insulators and superconductors
- Floquet second-order topological insulators from nonsymmorphic space-time symmetries
- Topological Phase Transitions in Disordered Electric Quadrupole Insulators
- Many-Body Electric Multipole Operators in Extended Systems
- Many-Body Order Parameters for Multipoles in Solids
- Dynamical Singularities of Floquet Higher-Order Topological Insulators
- Higher-order Floquet topological phases with corner and bulk bound states
- Coupled-wire construction of static and Floquet second-order topological insulators
- Floquet Higher-Order Topological Insulators with Anomalous Dynamical Polarization
- Topological Floquet Phases in Driven Coupled Rashba Nanowires
- Higher-order Topological Anderson Insulators
- Generating a second-order topological insulator with multiple corner states by periodic driving
- Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics
- Hierarchy of higher-order Floquet topological phases in three dimensions
- Antiunitary symmetry protected higher order topological phases
- Floquet generation of Second Order Topological Superconductor
- Higher Order Topological Insulator via Periodic Driving
- Floquet higher order topological insulator in a periodically driven bipartite lattice
- Floquet higher-order topological insulators and superconductors with space-time symmetries
- Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
- Floquet second-order topological insulators in non-Hermitian systems
- Hierarchy of higher-order topological superconductors in three dimensions
- Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
- Localization, topology and quantized transport in disordered Floquet systems
- Time-induced second-order topological superconductors
- Floquet Second Order Topological Superconductor based on Unconventional Pairing
- Tunable Fragile Topology in Floquet Systems
- Symmetry Analysis of Anomalous Floquet Topological Phases
- Floquet higher-order Weyl and nexus semimetals
- Engineering exotic second-order topological semimetals by periodic driving
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- Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
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- Topological States in Two-Dimensional Su-Schrieffer-Heeger Models
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- Floquet second-order topological Anderson insulator hosting corner localized modes
- Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
- Time evolution of Majorana corner modes in Floquet second-order topological superconductor
- Gapless higher-order topology and corner states in Floquet systems
- Higher-order topology in twisted multilayer systems: a review