Geodesic geometry of 2+1-D Dirac materials subject to artificial, quenched gravitational singularities
The study maps gapless Dirac electrons in quantum materials to massless fermions moving on curved spacetime manifolds created by artificial gravity models. The research investigates how light-like paths (null geodesics) behave when passing through curvature singularities, specifically nematic walls where the electron cone flattens. While geodesics are collimated, these walls can trap them in stable orbits, suggesting a connection to one-dimensional physics in certain superconductors.