  Ultralow dimensionality of 2D layers magnifies their sensitivity to adjacent
charges enabling even postprocessing electric control of multifunctional
structures. However, functionalizing 2D layers remains an important challenge
for on-demand device property exploitation. Here we report that an electrical
and even fully optical way to control and write modifications to the
magnetoresistive response of CVD-deposited graphene is achievable through the
electrostatics of the photoferroelectric substrate. For electrical control, the
ferroelectric polarization switch modifies graphene magnetoresistance by 67%
due to a Fermi level shift with related modification in charge mobility. A
similar function is also attained entirely by the bandgap light due to the
substrate photovoltaic effect. Moreover, an all-optical way to imprint and
recover graphene magnetoresistance by light is reported as well as magnetic
control of graphene transconductance. These findings extend photoferroelectric
control in 2D structures to new a magnetic dimension and advance wireless
operation for sensors and field-effect transistors.
