# Tunable cloaking of Mexican-hat confined states in bilayer silicene

## TL;DR

This paper investigates the unique quantum transport phenomena in bilayer silicene with a Mexican-hat energy spectrum, revealing cloaking effects and conductance oscillations not seen in similar materials.

## Contribution

It introduces the first detailed analysis of Mexican-hat state cloaking and transport in bilayer silicene, highlighting phenomena absent in bilayer graphene and monolayer silicene.

## Key findings

- Observation of non-zero transmission from confined states
- Discovery of Mexican-hat cloaking effect
- Conductance oscillations below potential height

## Abstract

We present the ballistic quantum transport of a p-n-p bilayer silicene junction in the presence of spin-orbit coupling and electric field using a four-band model in combination with the transfer-matrix approach. A Mexican-hat shape of the low-energy spectrum is observed similarly to bilayer graphene under an interlayer bias. We show that while bilayer silicene shares some physics with bilayer graphene, it has many intriguing phenomena that have not been reported for the latter. First, the confined state producing a significantly non-zero transmission in Mexican hat. Second, the cloaking of the Mexican-hat confined state is found. Third, we observe that the Mexican-hat cloaking results in a strong oscillation of conductance when the incident energy is below the potential height. Finally, unlike monolayer silicene, the conductance at large interlayer distances increases with the rise of electric field when the incident energy is above the potential height.