**Time/Venue **Friday, February 21, 11 am in 3 LeConte (please note this room change from 325 LeConte)**Host **Mike Zaletel

**Fractional quantum Hall states for Moiré superstructures in the**

Title

Title

Hofstadter regime

**Abstract**We present evidence for fractional quantum Hall states in a

recently-proposed Moiré superlattice Hamiltonian, inspired by the

low-energy physics of twisted bilayer graphene at the first magic angle

[Koshino et al., PRX 8, 031087 (2018)]. We apply a perpendicular

magnetic field to the minimal effective two-orbital Fermi-Hubbard model,

through the use a Peierls substitution, so that the system is in the

Hofstadter regime. Subsequently, we determine the Landau level splitting

and study the structure of the Chern bands for a range of magnetic flux

per plaquette. In doing so, we identify topological flat minibands in

the spectrum at low energies, and show that, with the inclusion of a

density-density interaction, fractional quantum Hall states can be

realized solely within these flat bands. We characterize the primary

fractional state through the use of charge pumping, spectral flow,

entanglement scaling, and CFT edge state counting; and comment on its

breakdown transition. Ultimately, we discuss the implications of these

results for experiment, as well as other effective Moiré Hamiltonians.