Minimal Geometry for Valley Filtering in Graphene
arXiv:1706.04636 · doi:10.1103/PhysRevB.96.201407
Abstract
The possibility to effect valley splitting of an electronic current in graphene represents the essential component in the new field of valleytronics in such two-dimensional materials. Based on a symmetry analysis of the scattering matrix, we show that if the spatial distribution of multiple potential scatterers breaks mirror symmetry about the axis of incoming electrons, then a splitting of the current between two valleys is observed. This leads to the appearance of the valley Hall effect. We illustrate the effect of mirror symmetry breaking in a minimal system of two symmetric impurities, demonstrating the splitting between valleys via the differential cross sections and non-vanishing skew parameter. We further discuss the role that these effects may play in transport experiments.
References in corpus (16)
- Two Dimensional Atomic Crystals
- Valley filter and valley valve in graphene
- Dirac materials
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Detecting Topological Currents in Graphene Superlattices
- Graphene valley filter using a line defect
- Generation of pure bulk valley current in graphene
- Adatoms and clusters of 3d transition metals on graphene: Electronic and magnetic configurations
- Controlled Growth of a Line Defect in Graphene and Implications for Gate-Tunable Valley Filtering
- Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling
- Tuning the valley and chiral quantum state of Dirac electrons in van der Waals heterostructures
- Strain controlled valley filtering in multi-terminal graphene structures
- Resonant valley filtering of massive Dirac electrons
- Rashba Spin Orbit Interaction and Birefringent Electron Optics in Graphene
- Mass inversion in graphene by proximity to dichalcogenide monolayer
- Symmetry breaking effects on spin and electronic transport in graphene