Magneto-optical transport in type-II Weyl semimetals in the presence of orbital magnetic moment

In this work, we investigate the linear and nonlinear magnetoconductivity of tilted type-II Weyl semimetals within the semiclassical Boltzmann framework by incorporating both the Berry curvature (BC) and the orbital magnetic moment (OMM) corrections. In the linear response regime, we derive analytical expressions for the magnetoconductivity that explicitly include the previously ignored OMM contribution while in the nonlinear regime we obtain analytical expressions that account for the combined effects of the BC and OMM. We find that the open Fermi surface and finite density of states characteristic of the type-II phase qualitatively alter the BC and OMM-induced transport responses relative to the type-I case. Depending on the magnetic-field orientation and transport geometry, the OMM is shown to either suppress or enhance different magnetoconductivity components, in contrast to their monotonic behavior in type-I Weyl semimetals. Our results provide a comprehensive theoretical framework for magneto-optical transport in tilted type-II Weyl semimetals and identify experimentally accessible signatures of the interplay between cone tilt, BC and OMM in candidate materials such as WTe₂, MoTe₂ and TaIrTe₄.