  Two-dimensional topological materials (TMs) have a variety of properties that
make them attractive for applications including spintronics and quantum
computation. However, there are only a few such experimentally known materials.
To help discover new 2D TMs, we develop a unified and computationally
inexpensive approach to identify magnetic and non-magnetic 2D TMs, including
gapped and semi-metallic topological classifications, in a high-throughput way
using density functional theory-based spin-orbit spillage,
Wannier-interpolation, and related techniques. We first compute the spin-orbit
spillage for the ~1000 2D materials in the JARVIS-DFT dataset
(https://www.ctcms.nist.gov/~knc6/JVASP.html ), resulting in 122 materials with
high-spillage values. Then, we use Wannier-interpolation to carry-out Z2,
Chern-number, anomalous Hall conductivity, Curie temperature, and edge state
calculations to further support the predictions. We identify various
topologically non-trivial classes such as quantum spin-hall insulators (QSHI),
quantum anomalous-hall insulators (QAHI), and semimetals. For a few predicted
materials, we run G0W0+SOC and DFT+U calculations. We find that as we introduce
many-body effects, only a few materials retain non-trivial band-topology,
suggesting the importance of high-level DFT methods in predicting 2D
topological materials. However, as an initial step, the automated spillage
screening and Wannier-approach provide useful predictions for finding new
topological materials and to narrow down candidates for experimental synthesis
and characterization.
