Thermodynamic measurements of magic graphene systems using SET

In recent years different flat-band graphene systems were shown to undergo thermodynamic phase transitions upon electrical charging. In Magic moire systems, such as magic angle bilayer graphene, these phase transitions happen at the vicinity of integer moire filling. However, these transitions are not bound strictly to integer fillings and can follow Clausius–Clapeyron relations. In some cases, The CC relation manifests as an exotic Pomeranchuk like effect where the less compressible phase is more entropic. This lecture will present our latest thermodynamic measurements of these transitions as probed by our scanning single-electron transistor.