Geometric entanglement in integer quantum Hall states with boundaries

Understand

Boundaries constitute a rich playground for quantum many-body systems because they can lead to novel degrees of freedom such as protected boundary states in topological phases.

• Here, we study the groundstate of integer quantum Hall systems in the presence of boundaries through the reduced density matrix of a spatial region.
• We work in the lowest Landau level and choose our region to intersect the boundary at arbitrary angles.
• The entanglement entropy (EE) contains a logarithmic contribution coming from the chiral edge modes, and matches the corresponding conformal field theory prediction.