Moire Lattices
Hall physics for incommensurate Moire Lattices of TMDs
We focus on studying the Hall physics of twisted bilayer Tungsten Telluride (WTe2) at small twist angles ranging from 12 degrees to 5 degrees using large-scale finite-element based pseudopotential DFT calculations (DFT-FE). The problem at hand involves heavier elements and to this end, noncollinear magnetism and spin-orbit coupling effects are crucial to accurately model the relevant physics within DFT. In this regard, the HPC centric finite-element based computational methods extending the current DFT-FE framework to incorporate non-collinear magnetism and spin-orbit coupling effects have been recently developed within the framework of norm-conserving pseudopotentials. Our goal here is to compute the anomalous Hall conductivity (AHC) using the Berry curvature and the nonlinear Hall coefficient (NHC) using the Berry curvature dipole as a function of twist angle.