# Conductance-matrix symmetries of a three-terminal hybrid device

## TL;DR

This study measures and analyzes the conductance matrix of a three-terminal superconductor-semiconductor device, revealing symmetry properties, charge characteristics of Andreev bound states, and magnetic field effects, aiding the search for Majorana zero modes.

## Contribution

It introduces a conductance-matrix measurement approach with symmetry decomposition to characterize hybrid devices and identify signatures related to Majorana modes.

## Key findings

- Antisymmetric conductance components match below the superconducting gap.
- Andreev bound states exhibit similar charge character at both ends.
- Magnetic field induces correlated splittings in low-energy conductance features.

## Abstract

We present conductance-matrix measurements of a three-terminal superconductor-semiconductor hybrid device consisting of two normal leads and one superconducting lead. Using a symmetry decomposition of the conductance, we find that the antisymmetric components of pairs of local and nonlocal conductances match at energies below the superconducting gap, consistent with expectations based on a non-interacting scattering matrix approach. Further, the local charge character of Andreev bound states is extracted from the symmetry-decomposed conductance data and is found to be similar at both ends of the device and tunable with gate voltage. Finally, we measure the conductance matrix as a function of magnetic field and identify correlated splittings in low-energy features, demonstrating how conductance-matrix measurements can complement traditional tunneling-probe measurements in the search for Majorana zero modes.