Remote control of spin polarization of topological corner states

Abstract

In two-dimensional higher-order topological insulators, the corner states are separated by a non-negligible distance. The crystalline symmetries protect the robustness of their corner states with long-range entanglement, which are robust against time-reversal breaking perturbations. Here, we demonstrate the possibility of direct control of the topological corner states by introducing the spin degree of freedom in a rhombus-shaped Kekulé nanostructure with local magnetization and local electric potential. By applying a local magnetization on one corner, the other corner can also be strongly spin polarized. By further applying a local electric potential at the same corner, the sign of the spin polarization can be reversed at both corners. We demonstrate the material realization in a $\gamma$-graphyne nanostructure with Mn adsorption and Si replacement at one corner by using the first-principles calculations. Our studies give a showcase of the remote correlation of quantum states in higher-order topological materials for spintronic and quantum applications.

References in corpus (57)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Tuning the graphene work function by electric field effect
• $(d-2)$-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
• Higher-order topological insulators and semimetals on the breathing Kagome and pyrochlore lattices
• Acoustic higher-order topological insulator on a Kagome lattice
• Higher-Order Topology in Bismuth
• Dirac Line Nodes in Inversion Symmetric Crystals
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Topological protection of photonic mid-gap cavity modes
• Inversion Symmetric Topological Insulators
• Classical higher-order topological insulators
• Photonic quadrupole topological phases
• Observation of second-order topological insulators in sonic crystals
• Quantized Response and Topology of Insulators with Inversion Symmetry
• Low-threshold topological nanolasers based on second-order corner state
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Experimental Observation of Higher-Order Topological Anderson Insulators
• Helical Topological Edge States in a Quadrupole Phase
• Non-linear second-order topological insulators
• Bound states in the continuum of higher-order topological insulators
• Opportunities in topological insulator devices
• Pseudospins and topological effects of phonons in a Kekule lattice
• Boundary Green functions of topological insulators and superconductors
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Boundary-obstructed topological phases
• Topological states on the breathing kagome lattice
• Higher-order Topological Anderson Insulators
• Topological Properties of Electrons in Honeycomb Lattice with Kekulé Hopping Textures
• Diagnosis for topological semimetals in the absence of spin-orbital coupling
• Phase diagram of disordered higher-order topological insulator: A machine learning study
• On the robustness of topological corner modes in photonic crystals
• Electrically Tunable Magnetism in Magnetic Topological Insulators
• Bulk-corner correspondence of time-reversal symmetric insulators: deduplicating real-space invariants
• Edge-Corner Correspondence: Boundary-Obstructed Topological Phases with Chiral Symmetry
• Fractional charge bound to a vortex in two dimensional topological crystalline insulators
• Higher-Order Topological Phase in a Honeycomb-Lattice Model with Anti-Kekulé Distortion
• Robustness of topological corner modes against disorder and application to acoustic networks
• Quantum tunneling through planar p-n junctions in HgTe quantum wells
• The Global Phase Diagram of disordered Higher-order Weyl Semimetals
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Spin-Polarized Fractional Corner Charges and Their Photonic Realization
• Optimization and robustness of topological corner state in second-order topological photonic crystal

Cited by in corpus (3)

• Klein-bottle quadrupole insulators and Dirac semimetals
• Spin separation and filtering assisted by topological corner states in the Kekulé lattice
• Intrinsic higher-order topological states in 2D honeycomb Z_2 quantum spin Hall insulators