A Wannier-based definition of the orbital angular momentum operator that includes itinerant parts produces significant non-local corrections to orbital Hall conductivity in first-principles calculations across several materials.
Thonhauser, Theory of orbital magnetization in solids, International Journal of Modern Physics B25, 1429 (2011)
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Modern Approach to Orbital Hall Effect Based on Wannier Picture of Solids
A Wannier-based definition of the orbital angular momentum operator that includes itinerant parts produces significant non-local corrections to orbital Hall conductivity in first-principles calculations across several materials.