Quantum Spin-Valley Hall Kink States: From Concept to Materials Design

Abstract

We propose a general and tunable platform to realize high-density arrays of quantum spin-valley Hall kink (QSVHK) states with spin-valley-momentum locking based on a two-dimensional hexagonal topological insulator. Through the analysis of Berry curvature and topological charge, the QSVHK states are found to be topologically protected by the valley-inversion and time-reversal symmetries. Remarkably, the conductance of QSVHK states remains quantized against either nonmagnetic or long-range magnetic disorder, verified by the Green function calculations. Based on first-principles results, we show that QSVHK states, protected with a gap up to 287 meV, can be realized in bismuthene by alloy engineering, surface functionalization, or electric field, supporting non-volatile applications of spin-valley filters, valves, and waveguides even at room temperature.

7 pages, 4 figures

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• Floquet Valley-Polarized Quantum Anomalous Hall State in Nonmagnetic Heterobilayers
• Robust all-electrical topological valley filtering using monolayer 2D-Xenes
• A Non-Hermitian Moiré Valley Filter
• Magnetic field induced Valley-Polarized Quantum Anomalous Hall Effects in Ferromagnetic van der Waals Heterostructures
• Valley contrasting bulk photovoltaic effect in antiferromagnetic MnPSe${}_3$ monolayer
• Quantum Valley Hall effect without Berry curvature
• Optimizing Topological Switching in Confined 2D-Xene Nanoribbons via Finite-Size Effects
• Interplay of Altermagnetic Order and Wilson Mass in the Dirac Equation: Helical Edge States without Time-Reversal Symmetry
• Effectuating tunable valley selection via multi-terminal monolayer graphene devices
• Electric field controlled valley-polarized photocurrent switch based on the circular bulk photovoltaic effect
• Movable Dirac Points with Ferroelectrics: Kink States and Berry Curvature Dipoles
• Spin-valley-coupled quantum spin Hall insulator with topological Rashba-splitting edge states in Janus monolayer $\mathrm{CS}{\mathrm{b}}_{1.5}\mathrm{B}{\mathrm{i}}_{1.5}$
• Control of valley optical conductivity and topological phases in buckled hexagonal lattice by orientation of in-plane magnetic field
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Engineering Majorana corner modes from two-dimensional hexagonal crystals
• Many-body description of two-dimensional van der Waals ferroelectric $\alpha -$In${}_2$Se${}_3$
• Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices