Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals*

We consider the electronic scattering in multi-Weyls semimetals due to dislocations defects which can be represented as an emergent effective magnetic field. We use partial wave analysis to analytically obtain the transmitted current and the conductance. From the conductance peaks as a function of the bias voltage, we can deduce monopole charge
$n$ of the corresponding multi-Weyl semimetal as well as the effective flux of the dislocation defect. We argue that this provides a simple and a robust way to measure the monopole charge of a multi-Weyl semimetal.