Geometric entanglement in integer quantum Hall states

Understand

We study the quantum entanglement structure of integer quantum Hall states via the reduced density matrix of spatial subregions.

• In particular, we examine the eigenstates, spectrum and entanglement entropy (EE) of the density matrix for various ground and excited states, with or without mass anisotropy.
• We focus on an important class of regions that contain sharp corners or cusps, leading to a geometric angle-dependent contribution to the EE.
• We unravel surprising relations by comparing this corner term at different fillings.