Engineering rich two-dimensional higher-order topological phases by flux and periodic driving

Abstract

Nodal-line semimetals are commonly believed to exist in $\mathcal{P}\mathcal{T}$ symmetric or mirror-rotation symmetric systems. Here, we find a flux-induced parameter-dimensional second-order nodal-line semimetal (SONLS) in a two-dimensional system without $\mathcal{P}\mathcal{T}$ and mirror-rotation symmetries. It has coexisting hinge Fermi arcs and drumhead surface states. Meanwhile, we discover a flux-induced second-order topological insulator (SOTI). We then propose a Floquet engineering scheme to create exotic parameter-dimensional hybrid-order nodal-line semimetals with abundant nodal-line structures and widely tunable numbers of corner states in a SONLS and SOTI, respectively. Our results break the perception of SONLSs and supply a convenient way to artificially synthesize exotic topological phases by periodic driving.

References in corpus (91)

• Topological Insulators
• Topological insulators and superconductors
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Photonic Floquet Topological Insulators
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Classification of topological quantum matter with symmetries
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Quantized Electric Multipole Insulators
• Dirac semimetal in three dimensions
• Experimental discovery of Weyl semimetal TaAs
• Higher-Order Topological Insulators
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Observation of a topological 3D Dirac semimetal phase in high-mobility Cd3As2
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Atomic quantum gases in periodically driven optical lattices
• Experimental Realization of a Three-Dimensional Dirac Semimetal
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• $(d-2)$-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
• Discovery of a Weyl Fermion semimetal state in NbAs
• Light-induced anomalous Hall effect in graphene
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Dirac Semimetals in Two Dimensions
• Observation of photonic anomalous Floquet Topological Insulators
• Photonic quadrupole topological phases
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Second-Order Topological Phases in Non-Hermitian Systems
• Non-Hermitian Topological Invariants in Real Space
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Selective scattering between Floquet-Bloch and Volkov states in a topological insulator
• Topological semi-metals with line nodes and drumhead surface states
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Elastic higher-order topological insulator with topologically protected corner states
• Drumhead Surface States and Topological Nodal-Line Fermions in TlTaSe2
• Two-dimensional second-order topological insulator in graphdiyne
• Realization of an anomalous Floquet topological system with ultracold atoms
• Majorana corner modes in a high-temperature platform
• Discovery of two-dimensional Dirac nodal line fermions in monolayer Cu2Si
• Nodal-link semimetals
• Low-threshold topological nanolasers based on second-order corner state
• Higher-Order Topological Insulator in Twisted Bilayer Graphene
• Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs
• Magneto-infrared spectroscopy of Landau levels and Zeeman splitting of three-dimensional massless Dirac Fermions in ZrTe${}_5$
• Ultrafast Broadband Photodetectors based on Three-dimensional Dirac Semimetal Cd3As2
• Helical Topological Edge States in a Quadrupole Phase
• Higher-Order Weyl Semimetals
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Engineering Corner States from Two-Dimensional Topological Insulators
• Higher-order topological semimetal in acoustic crystals
• Observation of anomalous π modes in photonic Floquet engineering
• Higher-order Weyl Semimetals
• Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
• Observation of a phononic higher-order Weyl semimetal
• Floquet second-order topological insulators from nonsymmorphic space-time symmetries
• Many-Body Electric Multipole Operators in Extended Systems
• Many-Body Order Parameters for Multipoles in Solids
• Dynamical Singularities of Floquet Higher-Order Topological Insulators
• Topological switch between second-order topological insulators and topological crystalline insulators
• Floquet Higher-Order Topological Insulators with Anomalous Dynamical Polarization
• Floquet Topological Phases of Non-Hermitian Systems
• Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-line Semimetals
• Boundary criticality of $PT$-invariant topology and second-order nodal-line semimetals
• Projectively enriched symmetry and topology in acoustic crystals
• Discovery of Weyl nodal lines in a single-layer ferromagnet
• Second-Order Real Nodal-Line Semimetal in Three-Dimensional Graphdiyne
• Towards large-Chern-number topological phases by periodic quenching
• Quantized Thermoelectric Hall Effect Induces Giant Power Factor in a Topological Semimetal
• Acoustic Möbius insulators from projective symmetry
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Hierarchy of higher-order Floquet topological phases in three dimensions
• ${\mathbb{Z}}_2$-projective translational symmetry protected topological phases
• Switching spinless and spinful topological phases with projective $PT$ symmetry
• Floquet second-order topological insulators in non-Hermitian systems
• Floquet control of quantum dissipation in spin chains
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Reducing electronic transport dimension to topological hinge states by increasing geometry size of Dirac semimetal Josephson junctions
• Floquet engineering to exotic topological phases in systems of cold atoms
• Topological Singularity Induced Chiral Kohn Anomaly in a Weyl Semimetal
• `Unhinging' the surfaces of higher-order topological insulators and superconductors
• Spinful topological phases in acoustic crystals with projective PT symmetry
• Trivial topological phase of CaAgP and the topological nodal-line transition in CaAg(P1-xAsx)
• Transition from metal to higher-order topological insulator driven by random flux
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Zeeman field-induced two-dimensional Weyl semimetal phase in cadmium arsenide
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving

Cited by in corpus (1)

• Four-dimensional Floquet topological insulator with an emergent second Chern number