In this paper, we review how to obtain the central charge of a critical
entanglement Hamiltonian through the nested entanglement entropy which was
first introduced in [J. Lou et al. PRB 84, 245128 (2011)]. The critical
phenomena of the entanglement Hamiltonian can be identified by the central
charge obtained by the nested entanglement entropy. We review our previous
studies[J. Lou et al. PRB 84, 245128 (2011), S. Tanaka et al. PRA 87, 214401
(2013)] in which we investigated certain entanglement nature of two-dimensional
valence-bond-solid (VBS) state and quantum hard-square models on square and
triangle ladders using the nested entanglement entropy.Comment: 5 pages, 3 figures, to appear in Interdisciplinary Information
Science