  To produce a fermionic model exhibiting an entanglement entropy volume law,
we propose a particular version of nonlocality in which the energy-momentum
dispersion relation is effectively randomized at the shortest length scales
while preserving translation invariance. In contrast to the ground state of
local fermions, exhibiting an entanglement entropy area law with logarithmic
corrections, the entropy of nonlocal fermions is extensive, scaling as the
volume of the subregion and crossing over to the anomalous fermion area law at
scales larger than the locality scale, {\alpha}. In the 1-d case, we are able
to show that the central charge appearing in the universal entropy expressions
for large subregions is simply related to the locality scale. These results are
demonstrated by exact diagonalizations of the corresponding discrete lattice
fermion models. Within the Ryu-Takayanagi holographic picture, the relation
between the central charge and the locality scale suggest a dual spacetime in
which the size of the flat UV portion and the radius of AdS in the IR are both
proportional to the locality scale, {\alpha}.
