Time evolution of Majorana corner modes in Floquet second-order topological superconductor

Abstract

We propose a practically feasible time-periodic sinusoidal drive protocol in onsite mass term to generate the two-dimensional~(2D) Floquet second-order topological superconductor, hosting both the regular $0$- and anomalous $\pi$-Majorana corner modes~(MCMs) while starting from a static 2D topological insulator/$d$-wave superconductor heterostructure setup. We theoretically study the local density spectra and the time dynamics of MCMs in the presence of such drive. The dynamical MCMs are topologically characterized by employing the average quadrupolar motion. Furthermore, we employ the Floquet perturbation theory~(FPT) in the strong driving amplitude limit to provide analytical insight into the problem. We compare our exact (numerical), and the FPT results in terms of the eigenvalue spectra and the time dynamics of the MCMs. We emphasize that the agreement between the exact numerical and the FPT results are more prominent in the higher frequency regime for close to the $0$-quasi-energy mode.

arXiv commentThis is the published version

References in corpus (116)

• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Photonic Floquet Topological Insulators
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Quantized Electric Multipole Insulators
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Atomic quantum gases in periodically driven optical lattices
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• $(d-2)$-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
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Acoustic higher-order topological insulator on a Kagome lattice
• Light-induced anomalous Hall effect in graphene
• Higher-Order Topology in Bismuth
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Floquet Topological Insulators for Sound
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Direct observation of corner states in second-order topological photonic crystal slabs
• Observation of photonic anomalous Floquet Topological Insulators
• Classical higher-order topological insulators
• Higher-order topological insulators and superconductors protected by inversion symmetry
• Chiral Majorana edge state in a quantum anomalous Hall insulator-superconductor structure
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Scaling of Majorana Zero-Bias Conductance Peaks
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Irradiated graphene as a tunable Floquet topological insulator
• Brillouin-Wigner theory for high-frequency expansion in periodically driven systems: Application to Floquet topological insulators
• Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Floquet chiral edge states in graphene
• Higher-order bulk-boundary correspondence for topological crystalline phases
• Majorana corner modes in a high-temperature platform
• High-Temperature Majorana Corner States
• Ballistic superconductivity in semiconductor nanowires
• Higher Order Topological Phases: A General Principle of Construction
• Weak-Pairing Higher Order Topological Superconductors
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Dynamical preparation of Floquet Chern insulators
• An anomalous higher-order topological insulator
• Material design with the van der Waals stacking of bismuth-halide chains realizing a higher-order topological insulator
• Demonstration of a quantized acoustic octupole topological insulator
• Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
• Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Helical Hinge Majoranas in Iron-Based Superconductors
• Floquet second-order topological insulators from nonsymmorphic space-time symmetries
• Ubiquitous non-Majorana Zero-Bias Conductance Peaks in Nanowire Devices
• Higher-order topological odd-parity superconductors
• 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
• Second-order Dirac superconductors and magnetic field induced Majorana hinge modes
• In-plane Zeeman field induced Majorana corner and hinge modes in an $s$-wave superconductor heterostructure
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Topological and holonomic quantum computation based on second-order topological superconductors
• Majorana corner and hinge modes in second-order topological insulator-superconductor heterostructures
• Generating a second-order topological insulator with multiple corner states by periodic driving
• Dynamics of the vacuum state in a periodically driven Rydberg chain
• Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics
• Higher-order topological superconductors in $\mathcal{P}$-, $\mathcal{T}$-odd quadrupolar Dirac materials
• Hierarchy of higher-order Floquet topological phases in three dimensions
• Higher-Order Topological Superconductivity of Spin-Polarized Fermions
• Measurement-only quantum computation with Majorana corner modes
• Floquet generation of Second Order Topological Superconductor
• Higher Order Topological Insulator via Periodic Driving
• Chiral Dirac Superconductors: Second-order and Boundary-obstructed Topology
• All-electrically tunable networks of Majorana bound states
• Floquet higher order topological insulator in a periodically driven bipartite lattice
• Higher-order topological band structures
• Floquet higher-order topological insulators and superconductors with space-time symmetries
• Floquet Second-Order Topological Superconductor Driven via Ferromagnetic Resonance
• Vortex and Surface Phase Transitions in Superconducting Higher-order Topological Insulators
• Floquet second-order topological insulators in non-Hermitian systems
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Hierarchy of higher-order topological superconductors in three dimensions
• Anomalous and normal dislocation modes in Floquet topological insulators
• Majorana corner modes with solitons in an attractive Hubbard-Hofstadter model of cold atom optical lattices
• Phonon-induced Floquet second-order topological phases protected by space-time symmetries
• Detection of second-order topological superconductors by Josephson junctions
• Time-induced second-order topological superconductors
• Weyl nodes with higher-order topology in an optically driven nodal-line semimetal
• Non-Hermitian higher-order topological superconductors in two-dimension: statics and dynamics
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Vortex-line topology in iron-based superconductors with and without second-order topology
• Higher-order topological superconductors based on weak topological insulators
• Systematic generation of the cascade of anomalous dynamical first and higher-order modes in Floquet topological insulators
• Disorder induced transitions in resonantly driven Floquet Topological Insulators
• Tunable Fragile Topology in Floquet Systems
• Dynamical construction of Quadrupolar and Octupolar topological superconductors
• Superconductors with anomalous Floquet higher-order topology
• Quadrupole spin polarization as signature of second-order topological superconductors
• Counter-propagating edge states in Floquet topological insulating phases
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Dynamic bulk-boundary correspondence for anomalous Floquet topology
• Tailoring Quadrupole Topological Insulators with Periodic Driving and Disorder
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Out of equilibrium chiral higher order topological insulator on a $\pi$-flux square lattice
• Non-diagonal disorder enhanced topological properties of graphene with laser irradiation

Cited by in corpus (6)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Generation of higher-order topological insulators using periodic driving
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Floquet second-order topological Anderson insulator hosting corner localized modes
• Breakdown of the symmetry constraint in a Floquet topological insulator
• Floquet first- and higher-order topological superconductors: A review