Generating Many Majorana Modes via Periodic Driving: A Superconductor Model

Abstract

Realizing Majorana modes (MMs) in condensed-matter systems is of vast experimental and theoretical interests, and some signatures of MMs have been measured already. To facilitate future experimental observations and to explore further applications of MMs, generating many MMs at ease in an experimentally accessible manner has become one important issue. This task is achieved here in a one-dimensional $p$-wave superconductor system with the nearest- and next-nearest-neighbor interactions. In particular, a periodic modulation of some system parameters can induce an effective long-range interaction (as suggested by the Baker-Campbell-Hausdorff formula) and may recover time-reversal symmetry already broken in undriven cases. By exploiting these two independent mechanisms at once we have established a general method in generating many Floquet MMs via periodic driving.

5 pages, 3 figures. To appear in Phys. Rev. B as a Rapid Communication

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Cited by in corpus (145)

• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Floquet generation of Majorana end modes and topological invariants
• Bulk--Boundary Correspondence for Chiral Symmetric Quantum Walks
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• An anomalous higher-order topological insulator
• Periodically-driven quantum matter: the case of resonant modulations
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Higher-order Floquet topological phases with corner and bulk bound states
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Coupled-wire construction of static and Floquet second-order topological insulators
• Floquet Topological Phases of Non-Hermitian Systems
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Simulation of non-Abelian braiding in Majorana time crystals
• Floquet engineering of long-range p-wave superconductivity
• Integrable Floquet dynamics
• Towards large-Chern-number topological phases by periodic quenching
• Topological Effects in Chiral Symmetric Driven Systems
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Floquet Edge States with Ultracold Atoms
• Floquet topological phases in a spin-1/2 double kicked rotor
• Majorana edge modes in the Kitaev model
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Higher Order Topological Insulator via Periodic Driving
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Quantum computation via Floquet topological edge modes
• Floquet higher order topological insulator in a periodically driven bipartite lattice
• Stability of a Floquet Bose-Einstein condensate in a one-dimensional optical lattice
• Floquet analysis of a quantum system with modulated periodic driving
• Floquet second-order topological insulators in non-Hermitian systems
• Floquet Semimetal with Floquet-band Holonomy
• Floquet control of quantum dissipation in spin chains
• Effects of interactions on periodically driven dynamically localized systems
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Dual topological characterization of non-Hermitian Floquet phases
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Non-Hermitian Floquet Topological Matter -- A Review
• Anomalous and normal dislocation modes in Floquet topological insulators
• Effective Floquet Hamiltonian in the low-frequency regime
• Universal fluctuations of Floquet topological invariants at low frequencies
• Survival probability of an edge Majorana in a 1-D p-wave superconducting chain under sudden quenching of parameters
• Floquet engineering to exotic topological phases in systems of cold atoms
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Floquet Majorana zero and $\pi$ modes in planar Josephson junctions
• Brillouin-Wigner Theory for Floquet Topological Phase Transitions in Spin-orbit Coupled Materials
• Time-induced second-order topological superconductors
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Tunable Floquet Majorana Fermions in Driven Coupled Quantum Dots
• Topological superconductivity and Majorana states in low-dimensional systems
• Edge and bulk localization of Floquet topological superconductors
• Driven quantum many-body systems and out-of-equilibrium topology
• Floquet topological phase of nondriven $p$-wave nonequilibrium excitonic insulators
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Square-root Floquet topological phases and time crystals
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Observation of Floquet topological phases with large Chern numbers
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Symmetry Analysis of Anomalous Floquet Topological Phases
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Long-range Kitaev Chains via Planar Josephson Junctions
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Floquet engineering of long-range p-wave superconductivity: Beyond the high-frequency limit
• Disordered Chern insulator with a two step Floquet drive
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Edge mode dynamics of quenched topological wires
• Floquet resonant states and validity of the Floquet-Magnus expansion in the periodically driven Friedrichs models
• Majorana Fermions in Periodically Driven Semiconductor-Superconductor Heterostructure
• Effects of local periodic driving on transport and generation of bound states
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Counter-propagating edge states in Floquet topological insulating phases
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Quantum Control in Open and Periodically Driven Systems
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Controlling topological superconductivity by magnetization dynamics
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Hybrid-order topological odd-parity superconductors via Floquet engineering
• Topological quantum phase transitions and criticality in a longer-range Kitaev chain
• Dynamical generation of Floquet Majorana flat bands in s-wave superconductors
• Performance of quantum heat engines under the influence of long-range interactions
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Floquet Engineering with Particle Swarm Optimization: Maximizing Topological Invariants
• Entanglement spectrum and entropy in Floquet topological matter
• Integrable Quantum Circuits from the Star-Triangle Relation
• Josephson-Current Signatures of Unpaired Floquet Majorana Bound States
• Dynamical Detection of Topological Spectral Density
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Topological and dynamical features of periodically driven spin ladders
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Generating many Majorana corner modes and multiple phase transitions in Floquet second-order topological superconductors
• Non-Abelian geometric phases in periodically driven systems
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Effect of loss on the topological features of dimer chain described by the extended Aubry-André-Harper model
• Unsupervised identification of Floquet topological phase boundaries
• Floquet higher-order topological phases in momentum space
• Floquet Majorana Fermions in superconducting quantum dots
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Magnetic chains on a triplet superconductor
• Gapless higher-order topology and corner states in Floquet systems
• Disconnected entanglement entropy as a marker of edge modes in a periodically driven Kitaev chain
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos
• Anatomy of a periodically driven p-wave superconductor
• Topological $\pi$ modes and beyond
• Non-adiabatic dynamics of superfluid spin-orbit coupled degenerate Fermi gas
• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Dynamical topological quantum computation using spin pulse control in the Heisenberg model
• Transport on a topological insulator surface with a time-dependent magnetic barrier
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
• Floquet non-Abelian topological charges and edge states
• Majorana modes in trapped-ion system and their Floquet engineering
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Topological semimetal with coexisting nodal points and nodal lines
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Non-Abelian Anyons in Periodically Driven Abelian Spin Liquids
• Floquet Möbius topological insulators
• Nonadiabatic braiding of Majorana modes
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• The quantum phase transitions of dimer chain driven by an imaginary ac field
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Current cross-correlation spectroscopy of Majorana bound states
• Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model