Valley Filtering Topologies Based on Electrostatically Induced Waveguides in 2D Dirac Materials with Valley-dependent Tilting of the Dirac Cones

Charge carriers in 2D tilted Dirac materials, such as 8-Pmmn borophene, effectively obey a Dirac equation with an additional tilting term that is opposite for nonequivalent valleys. This unique characteristic offers exciting opportunities for application of these materials in valleytronic devices.

In this presentation, we introduce and analyze several valley filtering topologies based on electrostatically induced waveguides in 8-Pmmn borophene. We provide essential insights into the theoretical foundations of these highly tunable 1D electronic channels, with a particular focus on the dispersion relation and the orthogonality relations of the eigenmodes. Numerical simulations based on higher-order partitioned Runge-Kutta timestepping not only confirm that the proposed waveguide structures effectively function as valley filters but also facilitate a comprehensive examination of the advantages and limitations associated with each topology.