Fractional quantum Hall phases of graphene beyond the ultrashort-range intervalley anisotropic interaction

This is the authors' abstract. We don't add key points for this paper.

Recent experimental and theoretical developments in the quantum Hall effect in monolayer graphene showed that the previous model of the valley-anisotropy interaction is incomplete, as it was assumed to be ultrashort range (USR). In this work, we use exact diagonalization to go beyond the ultrashort range to find the different phases for ν=2/3. We model the interaction as Yukawa so that we can control the range as a proof of concept. Even in this simple setting, we discovered how dropping the USR condition shifts the transition borders in favor of certain phases, leads to a new bond-ordered phase appearing, and breaks the ferromagnetic phase in two competing states as a result of lifting the USR-driven degeneracy.