Heat equilibration of integer and fractional quantum Hall edge modes in graphene

Gaëlle Le Breton, Raphaëlle Delagrange, Yuanzhuo Hong, Kenji Watanabe, Takashi Taniguchi, Rebeca Ribeiro-Palau, Preden Roulleau, Patrice Roche, François D. Parmentier

Published 2022-04-27Version 1

Hole-conjugate states of the fractional quantum Hall effect hosts counter-propagating edge channels which are thought to exchange charge and energy. These exchanges have been the subject of extensive theoretical and experimental works; in particular, it is yet unclear if the presence of integer quantum Hall edge channels stemming from fully filled Landau levels affects heat equilibration along the edge. In this letter, we present heat transport measurements in quantum Hall states of graphene demonstrating that the integer channels can strongly equilibrate with the fractional ones, leading to markedly different regimes of quantized heat transport that depend on edge electrostatics. Our results allow for a better comprehension of the complex edge physics in the fractional quantum Hall regime.