# Quantum transport simulation of non-local response in Weyl semimetals

## TL;DR

This paper uses numerical simulations to demonstrate non-local surface transport in Weyl semimetals, revealing current flow on opposite surfaces under magnetic fields, and introduces an exact recursive Green's function method applicable to surface transport studies.

## Contribution

It introduces an exact recursive Green's function approach to simulate non-local transport in Weyl semimetals, highlighting surface interconnectedness and potential experimental observability.

## Key findings

- Current flows on the opposite surface opposite to the driven surface under magnetic field.
- Recursive Green's function method provides exact surface Green's functions.
- Surface-to-surface transport effects are significant and observable.

## Abstract

We numerically study the non-local transport signature in Weyl semimetal as a test for interconnectedness of the surface states, using a recursive Green's function method. We drive a current using two leads connected on the same surface (top surface) and apply a magnetic field throughout the system, perpendicular to the surface. We find that this results in a current flowing on the other surface in the direction opposite to the direction of the current on the top surface and we comment on the viability of observing such an effect in experiment. The recursive Green's function method we employ is exact and provides us with the Green's functions of the two surfaces as well as their connecting elements, which can be applied also for other numerical simulations where the effect of surface to surface transport is important.