# Voltage-tunable Majorana bound states in time-reversal symmetric bilayer quantum spin Hall hybrid systems

## TL;DR

This paper explores how a bilayer quantum spin Hall system coupled with an s-wave superconductor can host Majorana bound states, with tunable topological interfaces created by spatially varying gate voltages, revealing unique transport signatures.

## Contribution

It demonstrates that Majorana bound states can be engineered in a homogeneous system via gate voltage control, offering a new method to realize topological superconductivity.

## Key findings

- Majorana bound states appear at domain walls of pairing types.
- Spatially dependent gate voltage can induce topological interfaces.
- Distinct zero-bias anomalies signal Majorana states.

## Abstract

We investigate hybrid structures based on a bilayer quantum spin Hall system in proximity to an s-wave superconductor as a platform to mimic time-reversal symmetric topological superconductors. In this bilayer setup, the induced pairing can be of intra- or inter-layer type, and domain walls of those different types of pairing potentials host Kramers partners (time-reversal conjugate pairs) of Majorana bound states. Interestingly, we discover that such topological interfaces providing Majorana bound states can also be achieved in an otherwise homogeneous system by a spatially dependent inter-layer gate voltage. This gate voltage causes the relative electron densities of the two layers to vary accordingly which suppresses the inter-layer pairing in regions with strong gate voltage. We identify particular transport signatures (zero-bias anomalies) in a five-terminal setup that are uniquely related to the presence of Kramers pairs of Majorana bound states.