Field-driven orbital Hall conductivity in time reversal symmetry broken Weyl semimetals

Abstract We present the theoretical study of orbital Hall (OH) conductivity in three-dimensional Weyl semimetals with broken time reversal symmetry. By employing the quantum kinetic approach, we explore the role of the Fermi surface and the Fermi sea contributions to the total OH conductivity. Our findings demonstrate that the dynamics of the field-driven OH response to an oscillating electric field depend on the blend of interband and intraband components of the OH current and the density matrix. We observe that the OH conductivity can be tuned with the Weyl nodes separation, Fermi energy, and applied frequency. Here, the intraband part contributes more around zero Fermi energy to the net OH response, while the interband part dominates over the intraband part as the Fermi energy increases. We support our findings by providing numerical estimations and experimental significance in the advancement of orbitronics devices.