Thermal transport through the ν=0 quantum Hall state in monolayer graphene

The ν=0 quantum Hall state in graphene has garnered both theoretical and experimental attention attributable to its various competing ground states: spin-polarized ferromagnetic, canted antiferromagnetic, Kekulé distortion, and charge density wave. Theoretical predictions indicate the possibility of gapless excitations which should lead to nonzero thermal transport through the insulating state. This expected violation of the Wiedemann-Franz law offers a convenient experimental probe as electronic transport measurements remain difficult in this system due to the exceedingly high resistance. Here we present our results attempting to uncover the nature of the competing ground states through a series of thermal noise measurements, following prior experimental work to measure thermal conductance in quantum Hall systems.