  In this paper we continue the study of renormalized entanglement entropy
introduced in [1]. In particular, we investigate its behavior near an IR fixed
point using holographic duality. We develop techniques which, for any static
holographic geometry, enable us to extract the large radius expansion of the
entanglement entropy for a spherical region. We show that for both a sphere and
a strip, the approach of the renormalized entanglement entropy to the IR fixed
point value contains a contribution that depends on the whole RG trajectory.
Such a contribution is dominant, when the leading irrelevant operator is
sufficiently irrelevant. For a spherical region such terms can be anticipated
from a geometric expansion, while for a strip whether these terms have
geometric origins remains to be seen.
