Floquet topological semimetal phases of an extended kicked Harper model

Abstract

Recent discoveries on topological characterization of gapless systems have attracted interest in both theoretical studies and experimental realizations. Examples of such gapless topological phases are Weyl semimetals, which exhibit 3D Dirac cones (Weyl points), and nodal line semimetals, which are characterized by line nodes (two bands touching along a line). Inspired by our previous discoveries that the kicked Harper model exhibits many fascinating features of Floquet topological phases, in this manuscript we consider a generalization of the model, where two additional periodic system parameters are introduced into the Hamiltonian to serve as artificial dimensions, so as to simulate a 3D system. We observe that by increasing the hopping strength and the kicking strength of the system, many new band touching points at Floquet quasienergies $0$ and $\pi$ will start to appear. Some of them are Weyl points, while the others form line nodes in the parameter space. By taking open boundary conditions along the physical dimension, edge states analogues to Fermi arcs in static Weyl semimetal systems are observed. Finally, by designing an adiabatic pumping scheme, the chirality of the Weyl points and the $\pi$ Berry phase around line nodes can be manifested.

28 pages, 9 figures. Comments are most welcome

References in corpus (10)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Chiral anomaly and transport in Weyl metals
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Tunable Line Node Semimetals
• Quantized Adiabatic Transport in Momentum Space
• Constructing a Weyl semimetal by stacking one dimensional topological phases
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
• Dimensional evolution between one- and two-dimensional topological phases

Cited by in corpus (63)

• Light-induced emergent phenomena in 2D materials and topological materials
• An anomalous higher-order topological insulator
• Observation of anomalous π modes in photonic Floquet engineering
• Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
• Non-Hermitian Floquet topological phases with arbitrarily many real-quasienergy edge states
• Coupled-wire construction of static and Floquet second-order topological insulators
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Type-II Weyl cone transitions in driven semimetals
• Simulation of non-Abelian braiding in Majorana time crystals
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Topological pumping of photons in nonlinear resonator arrays
• Floquet topological phases in a spin-1/2 double kicked rotor
• Nonlinearity induced topological physics in momentum space and real space
• Tunable point nodes from line node semimetals via application of light
• Engineering topological phases in the Luttinger semimetal $\alpha$-Sn
• Recipe for creating an arbitrary number of Floquet chiral edge states
• Quantum computation via Floquet topological edge modes
• Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals
• Floquet multi-Weyl points in crossing-nodal-line semimetals
• Floquet analysis of a quantum system with modulated periodic driving
• Floquet Semimetal with Floquet-band Holonomy
• Floquet Weyl Phases in a Three Dimensional Network Model
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Time-induced second-order topological superconductors
• Generating controllable type-II Weyl points via periodic driving
• 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
• Generating quantum multi-criticality in topological insulators by periodic driving
• Floquet engineering of magnetic topological insulator MnBi${}_2$Te${}_4$ films
• Topological flat bands in time-periodically driven uniaxial strained graphene nanoribbons
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Square-root Floquet topological phases and time crystals
• Photoinduced $\frac{1}{2}\frac{e^2}{h}$ and $\frac{3}{2}\frac{e^2}{h}$ conductance plateaus in topological insulator-superconductor heterostructures
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• High-fidelity and long-distance entangled-state transfer with Floquet topological edge modes
• Counter-propagating edge states in Floquet topological insulating phases
• Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
• Dynamical characterization of Weyl nodes in Floquet Weyl semimetal phases
• Anomalous Floquet topological crystalline insulators
• Entanglement spectrum and entropy in Floquet topological matter
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Topological edge states at Floquet quantum criticality
• Topological pumping of quantum correlations
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Anatomy of a periodically driven p-wave superconductor
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Quantum phase transitions and a disorder-based filter in a Floquet system
• Topological characteristics of gap closing points in nonlinear Weyl semimetals
• Cosine Edge Mode in a Periodically Driven Quantum System
• Topological hybrid semimetal phases and anomalous Hall effects in a three dimensional magnetic topological insulator
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Quantum-vacuum-protected topological edge polaritons
• Low-frequency and Moiré Floquet engineering: a review
• Multiple tunable real-space degeneracies in graphene irradiated by twisted light
• Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc
• Zero and Nonzero Energy Majorana Modes in an Extended Kitaev Chain