Quantizing momentum transport in bilayer graphene

TL;DR

This paper derives the quantized Hall viscosity in bilayer graphene, revealing a topological property that manifests as quantized steps in non-local magnetoresistivity, advancing understanding of momentum transport in quantum materials.

Contribution

It introduces the concept of quantized Hall viscosity in bilayer graphene as a new topological feature beyond the quantum Hall effect.

Findings

Quantized Hall viscosity derived for bilayer graphene

Detection method via non-local magnetoresistivity measurements

Identification of topological momentum transport in bilayer graphene

Abstract

The momentum transport in ultraclean bilayer graphene is characterized by the viscous transport. In quantizing magnetic field the momentum current passes through the guiding centers of cyclotron orbits. In this study we derive the quantized Hall viscosity of bilayer graphene that is the next topological feature after the quantum Hall effect. This can be detected in the non-local magnetoresistivity measurements that varies with the quantized steps of magnetoresistivity.