  We present a novel methodology to identify topologically non-trivial
materials based on band inversion induced by spin-orbit coupling (SOC) effect.
Specifically, we compare the density functional theory (DFT) based
wavefunctions with and without spin-orbit coupling and compute the
spin-orbit-spillage as a measure of band-inversion. Due to its ease of
calculation, without any need for symmetry analysis or dense k-point
interpolation, the spillage is an excellent tool for identifying topologically
non-trivial materials. Out of 30000 materials available in the JARVIS-DFT
database, we applied this methodology to more than 4835 non-magnetic materials
consisting of heavy atoms and low bandgaps. We found 1868 candidate materials
with high-spillage (using 0.5 as a threshold). We validated our methodology by
carrying out conventional Wannier-interpolation calculations for 289 candidate
materials. We demonstrate that in addition to Z2 topological insulators, this
screening method successfully identified many semimetals and topological
crystalline insulators. Importantly, our approach is applicable to the
investigation of disordered or distorted as well as magnetic materials, because
it is not based on symmetry considerations. We discuss some individual example
materials, as well as trends throughout our dataset, which is available at the
websites: https://www.ctcms.nist.gov/~knc6/JVASP.html and
https://jarvis.nist.gov/.
