# Electron interferometry and quantum spin Hall phase in silicene

## TL;DR

This paper explores electron interferometry in silicene to detect the quantum spin Hall phase, demonstrating how interference patterns change with topological states and external fields.

## Contribution

It introduces a device concept using two-path electron interference in silicene to identify topological insulator phases through conductance features.

## Key findings

- Quantum spin Hall phase suppresses interference due to spin current separation.
- Normal transport shows Aharonov-Bohm oscillations.
- Localized resonances appear in conductance during the topological phase.

## Abstract

We discuss devices for detection of the topological insulator phase based on the two-path electron interference. For that purpose we consider buckled silicene for which a local energy gap can be opened by vertical electric field to close one of the paths and for which the quantum spin Hall insulator conditions are controlled by the Fermi energy. In quantum spin Hall phase the interference is absent due to the separation of the spin currents and the conductance of the devices include sharp features related to localized resonances. In the normal transport conditions the two-path interference produces a regular Aharonov-Bohm oscillations in the external magnetic field.