Non-uniform heat redistribution among multiple channels in the integer quantum Hall regime

TL;DR

This study investigates heat transport in multiple quantum-Hall edge channels, revealing persistent non-uniform heat distribution and demonstrating control via quantum point contacts, paving the way for integrated quantum heat circuits.

Contribution

It provides experimental evidence of non-uniform heat redistribution among multiple channels and introduces a method to control heat flow using quantum point contacts.

Findings

Heat distribution remains highly non-uniform among channels.

Heat transport can be modulated with a quantum point contact acting as a heat valve.

Stepwise increases in heat current demonstrate quantized control of heat flow.

Abstract

Heat transport in multiple quantum-Hall edge channels at Landau-level filling factor nu = 2, 4, and 8 is investigated with a quantum point contact as a heat generator and a quantum dot as a local thermometer. Heat distribution among the channels remains highly non-uniform, which can be understood with the plasmon eigenmodes of the multiple channels. The heat transport can be controlled with another quantum point contact as a quantized heat valve, as manifested by stepwise increases of heat current at the thermometer. This encourages developing integrated heat circuits with quantum-Hall edge channels.