Movable Dirac Points with Ferroelectrics: Kink States and Berry Curvature Dipoles
arXiv:2506.13960 · doi:10.1103/ps7y-vmz1
Abstract
Two-dimensional (2D) Dirac states and Dirac points with linear dispersion are the hallmark of graphene, topological insulators, semimetals, and superconductors. Lowering a symmetry by the ferroelectric polarization opens the gap in Dirac points and introduces finite Berry curvature. Combining this with Dirac points detached from high symmetry points of the Brillouin zone offers additional ways to tailor topological properties. We explore this concept by studying topological phenomena emerging in 2D materials with movable Dirac points and broken out-of-plane mirror reflection. The resulting topological kink states and Berry curvature dipoles are changed by movable 2D Dirac points with experimental signatures in electrical conductance and second-harmonic nonlinear Hall conductivity. We identify materials platforms where our predictions can be realized and support that with the first-principles results for ClRhS-GeS junction.
References in corpus (46)
- The electronic properties of graphene
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Berry Phase Effects on Electronic Properties
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Kwant: a software package for quantum transport
- Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
- Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
- Observation of the nonlinear Hall effect under time reversal symmetric conditions
- Dirac Semimetals in Two Dimensions
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Topological confinement in bilayer graphene
- Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
- Valley Chern Numbers and Boundary Modes in Gapped Bilayer Graphene
- High frequency electric field induced nonlinear effects in graphene (review)
- Domain walls in gapped graphene
- Spin-group symmetry in magnetic materials with negligible spin-orbit coupling
- Band signatures for strong nonlinear Hall effect in bilayer WTe
- Strain-induced Evolution of Electronic Band Structures in a Twisted Graphene Bilayer
- Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
- Valley-Hall Kink and Edge States in Multilayer Graphene
- A valley valve and electron beam splitter
- Wallpaper Fermions and the Nonsymmorphic Dirac Insulator
- Colloquium: Physical properties of group-IV monochalcogenide monolayers
- Berry curvature dipole senses topological transition in a moiré superlattice
- Quantum frequency doubling in the topological insulator Bi2Se3
- Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
- Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
- Ferroelectric control of magnetic skyrmions in two-dimensional van der Waals heterostructures
- Prediction of ferroelectricity-driven Berry curvature enabling charge- and spin-controllable photocurrent in tin telluride monolayers
- Strain-induced band gaps in bilayer graphene
- Giant nonlinear Hall effect in strained twisted bilayer graphene
- Multiple Unpinned Dirac Points in Group-Va Single-layers with Phosphorene Structure
- Valley polarization induced second harmonic generation in graphene
- Quantum Spin-Valley Hall Kink States: From Concept to Materials Design
- Two-dimensional Dirac Semimetals without Inversion Symmetry
- High-Temperature Quantum Valley Hall Effect with Quantized Resistance and a Topological Switch
- Observation of 2D Weyl Fermion States in Epitaxial Bismuthene
- Chern-insulator phase in antiferromagnets
- Observation of Unpinned Two-Dimensional Dirac States in Antimony Single Layers with Phosphorene Structure
- Twist-resilient and robust ferroelectric quantum spin Hall insulators driven by van der Waals interactions
- Tracing out the Berry curvature dipole and multipoles in second harmonic Hall responses of time-reversal symmetric insulators
- Group Theory on Quasisymmetry and Protected Near Degeneracy
- Berry Curvature Dipole and its Strain Engineering in Layered Phosphorene
- Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice