Phonon Mediated Transresistivity in a Double Layer Composite Fermion System

TL;DR

This paper investigates phonon-mediated drag in a double layer 2D electron system at half-filled Landau level, revealing enhanced effects at low temperatures and large layer separations, with unique temperature and distance dependencies.

Contribution

It introduces a detailed analysis of phonon-mediated transresistivity in a fractional quantum Hall regime, highlighting novel temperature and distance behaviors.

Findings

Drag is dominated by acoustic phonon exchange at large separations.

Phonon-mediated drag is significantly enhanced at low temperatures.

Unique temperature and inter-layer distance dependences are observed.

Abstract

We consider the fractional drag in a double layer system of two-dimensional electrons in the half-filled lowest Landau level. At sufficiently large inter-layer separations the drag is dominated by exchange of acoustic phonons and exhibits novel temperature and inter-layer distance dependences. At low temperatures the phonon mediated drag is strongly enhanced with respect to the case of zero magnetic field.