Determine the thermal melting temperature of an anomalous Hall crystal in PLG

Ascertain the thermal melting temperature of the anomalous Hall crystal phase hypothesized in rhombohedral pentalayer graphene moiré superlattices, to evaluate whether thermal melting can account for the observed crossover from extended QAHE at low temperature to fractional QAHE at intermediate temperatures.

Background

The authors consider a scenario in which the low-temperature ground state could be a pinned anomalous Hall crystal that melts upon heating, potentially enabling an intermediate-temperature fractional Hall phase. They note that while Wigner crystal melting temperatures have been estimated in other 2D systems, no such estimate exists for the anomalous Hall crystal in PLG.

They explicitly state that the melting temperature of the PLG anomalous Hall crystal is theoretically unknown. Determining this temperature would clarify whether thermal melting is responsible for the crossover and help disentangle interaction versus disorder contributions.