Topological switch between second-order topological insulators and topological crystalline insulators

Abstract

We investigate a topological switch between second-order topological insulators (SOTIs) and topological crystalline insulators (TCIs). Both the SOTI and the TCI are protected by the mirror and inversion symmetries, for which we define the bulk topological numbers of the same type. We take examples of square nanodisks on the square lattice and hexagonal nanodisks on the triangular lattice. When inplane magnetic field is introduced parallel to one of the helical edges, the system becomes a TCI. The conductance along the edge is 1 in the unit of the conductance quantum $e^2/h$. As the inplane field is rotated, the conductance decreases as the gap of the edge states opens. When it becomes orthogonal to a diagonal line, two topological corner states emerge on its vertices and the system becomes a SOTI. When it becomes parallel to another edge, the system becomes again a TCI and the conductance along the original edge becomes 0 but 1 along a new edge. This may be used as a basis of a topological circuit changing switch. Alternatively, the device may be used as a sensor to measure local magnetization on a sample surface with a resolution of 10 nm.

5 pages, 5 figures

References in corpus (12)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Crystalline Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Quantum conductance of graphene nanoribbons with edge defects
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Coherent transport in graphene nanoconstrictions
• Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
• Strong and weak second-order topological insulators with hexagonal symmetry and ${\mathbb{Z}}_3$ index
• I-V curve signatures of nonequilibrium-driven band gap collapse in magnetically ordered zigzag graphene nanoribbon two-terminal devices

Cited by in corpus (66)

• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Classical higher-order topological insulators
• Hybrid higher-order skin-topological modes in non-reciprocal systems
• Higher-Order Topological Insulator in Twisted Bilayer Graphene
• Higher-Order Topological Insulators in Quasicrystals
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Higher-order topological electric circuits and topological corner resonance on the breathing Kagome and pyrochlore lattices
• Non-Hermitian higher-order topological states in nonreciprocal and reciprocal systems with their electric-circuit realization
• Floquet Higher-Order Topological Insulators with Anomalous Dynamical Polarization
• Higher order symmetry-protected topological states for interacting bosons and fermions
• Braiding of Majorana corner states in electric circuits and its non-Hermitian generalization
• Gapped Topological Kink States and Topological Corner States in Graphene
• Braiding Majorana corner modes in a second-order topological superconductor
• Second-order topological phases protected by chiral symmetry
• Higher-Order topological insulator in a dodecagonal quasicrystal
• Phase tunable second-order topological superconductor
• Fractional Topological Superconductivity and Parafermion Corner States
• Effective Model for Fractional Topological Corner Modes in Quasicrystals
• Kekule Lattice in Graphdiyne: Coexistence of Phononic and Electronic Higher-Order Band Topology
• Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
• Simple model for second-order topological insulators and loop-nodal semimetals in Transition Metal Dichalcogenides XTe${}_2$ (X=Mo,W)
• Non-Hermitian Floquet second order topological insulators in periodically quenched lattices
• Majorana and parafermion corner states from two coupled sheets of bilayer graphene
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• A Higher-Order Topological Insulator Phase in a Modulated Haldane Model
• Higher-order topological Anderson insulators in quasicrystals
• Detecting the Néel vector of altermagnet by attaching a topological insulator and crystalline valley-edge insulator
• Cornertronics in Two-Dimensional Second-Order Topological Insulators
• Progress in epitaxial thin-film Na3Bi as a topological electronic material
• Engineering exotic second-order topological semimetals by periodic driving
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Ferroelectric higher-order topological insulator in two dimensions
• Appearance of hinge states in second-order topological insulators via the cutting procedure
• Hinged Quantum Spin-Hall Effect in Antiferromagnetic Topological Insulators
• Topological excitonic corner states and nodal phase in bilayer quantum spin Hall insulators
• Second-order topological corner states in zigzag graphene nanoflake with different types of edge magnetic configurations
• Unified characterization for higher-order topological phase transitions
• Density-driven higher-order topological phase transitions in amorphous solids
• Higher-Order Topological Mott Insulator on the Pyrochlore Lattice
• Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
• Engineering topologically protected zero-dimensional interface end states in antiferromagnetic heterojunction graphene nanoflakes
• The General Principle behind Magnetization-induced Second-Order Topological Corner States in the Kane-Mele Model
• Quantized charge-pumping in higher-order topological insulators
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Floquet higher-order topological phases in momentum space
• Protected Gapless Edge States In Trivial Topology
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Higher-order topological corner states induced solely by onsite potentials with mirror symmetry
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Majorana corner modes and flat-band Majorana edge modes in superconductor/topological-insulator/superconductor junctions
• Existence of dual topological phases in Sn-based ternary chalcogenides
• Bulk-boundary-transport correspondence of the second-order topological insulators
• Fractional second-order topological insulator from a three-dimensional coupled-wires construction
• Hierarchical Topological States in Thermal Diffusive Networks
• Engineering rich two-dimensional higher-order topological phases by flux and periodic driving
• Unconventional hybrid-order topological insulators
• Second-order topological insulator in Bilayer borophene
• Strain-induced two-dimensional topological crystalline insulator
• Boundary topological insulators and superconductors of Altland-Zirnbauer tenfold classes
• Higher-Order Topology in Monolayer FeSe
• Electronic structures and stability investigation of the new class of large band gap topological insulators MTl${}_4$Te${}_3$ (M = Cd, Hg)
• Zeeman field induced corner states in the Kane-Mele-Hubbard model
• Moiré Topology in Twisted Structures with Noncollinear Spin-Orbit Coupling
• Non-Hermitian second-order topological insulator with point gap
• Higher-order Quantum Spin Hall Effect of Light