Geometric entanglement in integer quantum Hall states

We study the structure of entanglement in integer quantum Hall states using the entanglement entropy (EE) as well as the reduced density matrix, through its spectrum and eigenstates. We focus on an important class of spatial regions that have a sharp corner, which leads to an angle-dependent contribution to the EE. We unravel surprising relations by comparing this corner term at different fillings. We further find that the corner term, when properly normalized, has nearly the same angle dependence as conformal theories in 2 spatial dimensions. We also reveal that the low-lying entanglement spectrum and corresponding eigenfunctions describe edge excitations localized at the corner. Finally, we present an outlook for fractional quantum Hall states.