Quantum Monte Carlo at the graphene quantum Hall edge

We study a continuum model of the interface graphene and vacuum in quantum hall regime via sign-problem-free Monte Carlo, allowing us to investigate interplay topology strong interactions Hall edge for large system sizes. focus on topological phase transition from spin polarized state with symmetry protected gapless helical edges fully charge gapped canted-antiferromagnet spontaneous breaking, driven by Zeeman energy. Our size simulations allow detail behaviour various quantities across this that are amenable be probed experimentally, such as spatially energy-resolved local density states compressibility. find peculiar kinks branches dispersion, also an unexpected susceptibility bulk associated its Goldstone mode.