Current partition at topological zero-line intersections

Abstract

An intersection between one-dimensional chiral acts as a topological current splitter. We find that the splitting of a chiral zero-line mode obeys very simple, yet highly counterintuitive, partition laws which relate current paths to the geometry of the intersection. Our results have far reaching implications for device proposals based on chiral zero-line transport in the design of electron beam splitters and interferometers, and for understanding transport properties in systems where multiple topological domains lead to a statistical network of chiral channels.

References in corpus (13)

• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Topological confinement in bilayer graphene
• Helical Metal Inside a Topological Band Insulator
• Edge states in Graphene: from gapped flat band to gapless chiral modes
• Quantum Anomalous Hall State in Bilayer Graphene
• Electronic Highways in Bilayer Graphene
• Two-Dimensional Topological Insulator State and Topological Phase Transition in Bilayer Graphene
• Valley-Hall Kink and Edge States in Multilayer Graphene
• Lattice Theory of Pseudospin Ferromagnetism in Bilayer Graphene: Competing Orders and Interaction Induced Quantum Hall States
• Transport Properties of Graphene Nanoroads in Boron-Nitride Sheets
• Peculiarities of dynamics of Dirac fermions associated with zero-mass lines
• Topological invariants for the fractional quantum Hall states

Cited by in corpus (49)

• Strain Solitons and Topological Defects in Bilayer Graphene
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Gate-controlled topological conducting channels in bilayer graphene
• Direct imaging of topological edge states at a bilayer graphene domain wall
• A valley valve and electron beam splitter
• Valleytronics in merging Dirac cones: All-electric-controlled valley filter, valve and universal reversible logic gate
• Valley-Layer Coupling: A New Design Principle for Valleytronics
• Helical Network Model for Twisted Bilayer Graphene
• Valley kink states and topological channel intersections in substrate-integrated photonic circuitry
• Gapped Topological Kink States and Topological Corner States in Graphene
• Novel topological beam-splitting in photonic crystals
• Designing multi-directional energy-splitters and topological valley supernetworks
• Manipulation and Characterization of the Valley Polarized Topological Kink States in Graphene Based Interferometers
• Topological Valley Hall Edge State Lasing
• Valley-Hall In-Plane Edge States as Building Blocks for Elastodynamic Logic Circuits
• Ideal type-II Weyl phase and topological transition in phononic crystals
• Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene
• Chiral zigzag modes and flatbands in network models of twisted bilayer graphene
• Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene
• Cornertronics in Two-Dimensional Second-Order Topological Insulators
• A Non-Hermitian Moiré Valley Filter
• Current partition at zero-line intersection of quantum anomalous Hall topologies
• Zero-line modes at stacking faulted domain walls in multilayer graphene
• Gate tunable current partition in graphene based topological zero lines
• Metallic Network of Topological Domain Walls
• The role of geometry and topological defects in the 1D zero-line modes of graphene
• Transmission spectra and valley processing of graphene and carbon nanotube superlattices with inter-valley coupling
• Tunable three-way valley Hall energy-splitter: venturing beyond graphene-like structures
• Valley-Current Splitter in Minimally Twisted Bilayer Graphene
• Analytical solutions of the two-dimensional Dirac equation for a topological channel intersection
• Layer Zero-Line Modes in Antiferromagnetic Topological Insulators
• Transport Induced Dimer State from Topological Corner States
• First-principles study on the electronic and transport properties of periodically nitrogen-doped graphene and carbon nanotube superlattices
• Effective Floquet model for minimally twisted bilayer graphene
• The role of spin-orbit coupling in topologically protected interface states in Dirac materials
• Two-dimensional Dirac fermions in a mass superlattice
• Localized states coupled to a network of chiral modes in minimally twisted bilayer graphene
• Chiral properties of topological-state loops
• Valley selecting current partition at zero-line mode of quantum anomalous Hall topologies
• Physical Origin of Current Partition at a Topological Trifurcation
• Chiral states around a mass-inverted quantum dot in graphene
• Local Optical Conductivity of Bilayer Graphene with Kink Potential
• Controlling the Interferometers of Zero-Line Modes in Graphene by Pseudomagnetic field
• Persistent current and orbital magnetization along a valley-contrasting junction in bilayer graphene in a magnetic field
• Gate-tunable chiral phonons in low-buckled group-IVA monolayers
• Decoherence of charge density waves in beam splitters for interacting quantum wires
• Network model and four-terminal transport in minimally twisted bilayer graphene
• Acoustic topological circuitry in square and rectangular phononic crystals
• Twisted bilayer graphene as a terahertz plasmonic crystal