Spin Hall effect for polaritons in a TMDC monolayer embedded in a microcavity

TL;DR

This paper predicts the spin Hall effect for polaritons in a TMDC monolayer within a microcavity, demonstrating how laser beams can manipulate polariton flows and suggesting experimental observation methods.

Contribution

It introduces the concept of SHEP in TMDC monolayers and derives polariton conductivity tensors for both non-interacting and BEC polaritons, highlighting flow splitting effects.

Findings

Polariton flows in the same valley split into opposite directions.

Normal components deflect slightly and propagate perpendicularly.

Proposes experimental observation of SHEP in microcavities.

Abstract

The spin Hall effect for polaritons (SHEP) in a transition metal dichalcogenides (TMDC) monolayer embedded in a microcavity is predicted. We demonstrate that two counterpropagating laser beams incident on a TMDC monolayer can deflect a superfluid polariton flow due to the generation the effective gauge vector and scalar potentials. The components of polariton conductivity tensor for both non-interacting polaritons without Bose-Einstein condensation (BEC)and for weakly-interacting Bose gas of polaritons in the presence of BEC and superfluidity are obtained. It is shown that the polariton flows in the same valley are splitting: the superfluid components of the \textit{A} and \textit{B} polariton flows propagate in opposite directions along the counterpropagating beams, while the normal components of the flows slightly deflect in opposite directions and propagate almost perpendicularly to the beams. The possible experimental observation of SHEP in a microcavity is proposed.