Ratchet-Like Solitonic Transport in Quantum Hall Bilayers

TL;DR

This paper models a quantum Hall bilayer system using a pseudo-spin approach, revealing a novel unidirectional intra-layer energy transport driven by interlayer voltage, consistent with experiments and predicting observable topological effects.

Contribution

It introduces a dynamic pseudo-magnetic field model for quantum Hall bilayers, predicting a new directed intra-layer transport phenomenon due to topological kink motion.

Findings

Model accurately describes experimental data

Predicts unidirectional intra-layer energy transport

Suggests experimental detection via charge currents

Abstract

The pseudo-spin model for double layer quantum Hall system with total landau level filling factor $\nu=1$ is discussed. Unlike the "traditional" one where interlayer voltage enters as static magnetic field along pseudo- spin hard axis, in our model we consider applied interlayer voltage as a frequency of precessing pseudo-magnetic field lying into the easy plane. It is shown that a Landau-Lifshitz equation for the considered pseudo magnetic system well describes existing experimental data. Besides that, the mentioned model predicts novel directed intra-layer transport phenomenon in the system: unidirectional intra-layer energy transport is realized due to interlayer voltage induced motion of topological kinks. This effect could be observed experimentally detecting counter-propagating intra-layer inhomogeneous charge currents which are proportional to the interlayer voltage and total topological charge of the pseudo-spin system.