# Quantized photonic spin Hall effect in graphene

## TL;DR

This paper investigates the quantized photonic spin Hall effect in graphene under magnetic fields, revealing quantized behaviors linked to Berry phase and proposing an experimental detection scheme using weak measurements.

## Contribution

It demonstrates the quantized photonic SHE in graphene and introduces a quantum weak measurement method for its detection in the terahertz regime.

## Key findings

- Quantized in-plane and transverse spin-dependent splittings in photonic SHE.
- Connection between quantized SHE and Berry phase.
- Proposed experimental detection scheme using weak measurements.

## Abstract

We examine the photonic spin Hall effect (SHE) in a graphene-substrate system with the presence of external magnetic field. In the quantum Hall regime, we demonstrate that the in-plane and transverse spin-dependent splittings in photonic SHE exhibit different quantized behaviors. The quantized SHE can be described as a consequence of a quantized geometric phase (Berry phase), which corresponds to the quantized spin-orbit interaction. Furthermore, an experimental scheme based on quantum weak value amplification is proposed to detect the quantized SHE in terahertz frequency regime. By incorporating the quantum weak measurement techniques, the quantized photonic SHE holds great promise for detecting quantized Hall conductivity and Berry phase. These results may bridge the gap between the electronic SHE and photonic SHE in graphene.