Bulk-Surface Electron Coupling in Weyl Semimetals.

The Berry curvature in Weyl semimetal (WSM) induces chiral surface states through Fermi arcs, giving rise to an anomalous intrinsic Hall response. The Weyl semimetals are conducting in the bulk; we study the surface-bulk scattering mechanism and build an original Boltzmann equation for the surface electron transport in Weyl semimetals. We derive a general formula for the anomalous Hall conductivity (AHC) as a function of chemical potential, surface-bulk coupling strength and sample size, which is valid for both diffusive and ballistic limits. The ballistic limit is beyond the Green's function as the ladder approximation deteriorates at small chemical potential, showing unique advantages of our Boltzmann method. Moreover, we investigate the energy dependence of anomalous Hall conductivity and find it non-monotonic with temperature. [ABSTRACT FROM AUTHOR]