Felix A. Buot
We derive the topological Chern number of the integer quantum Hall effect in electrical conductivity by using Buot's superfield and lattice Weyl transform nonequilibirum quantum transport formalism. The topological invariant in (p, q; E, t)-phase space occurs to first-order in the gradient expansion of the nonequilibrium quantum transport equation. We have also derived the Kubo current-current correlation for the Hall current as a by-product of our new approach. The Berry curvature related to orbital magnetic moment is also calculated leading to the quantization of orbital motion and edge states for 2-D systems. © 2020 Author(s).
Laboratory of Computational Functional Materials, Nanoscience and Nanotechnology (LCFMNN), Theoretical and Computational Sciences and Engineering Group, Department of Physics, University of San Carlos Talamban, Cebu City, 6000, Philippines; CandLB Research Institute, Carmen, Cebu, 6005, Philippines
