  Generally speaking, the entanglement entropy (EE) between two subregions of a
gapped quantum many-body state is proportional to the area/length of their
interface due to the short range quantum correlation. However, the so-called
area law is violated logarithmically in a quantum critical phase. Moreover, the
subleading correction exists in a long range entangled topological phases. It
is referred to as topological EE which is related to the quantum dimension of
the collective excitation in the bulk. Further more, if a non-smooth sharp
angle is in the presence of the subsystem boundary, a universal angle dependent
geometric contribution is expected to appear in the subleading correction. In
this work, we simultaneously explore the geometric and edge contribution in the
integer quantum Hall (IQH) state and its edge reconstruction in a unified
bipartite method. Their scaling is found to be consistent with the conformal
field theory (CFT) predictions and recent results of the particle number
fluctuation calculations.
