  BaMF4 (M=Fe, Co, Ni and Mn) family are typical multiferroic materials, having
antiferromagnetism at around liquid nitrogen temperature. In this work,
polycrystalline BaFeF4 has been prepared by solid state reaction. The slight
deficiency of Fe leads to the coexistence of valence states of +2 and +3,
facilitating the electrons to hop between the neighboring Fe2+ and Fe3+ ions
through the middle F- ion, leading to the strong double exchange interaction
with weak ferromagnetism above room temperature. A bifurcation at about 170 K
between the zero-field-cooled and field-cooled temperature dependent
magnetization curves indicates the onset of 2-dimensional antiferromagnetism,
which is completed at about 125 K with the sudden drop of magnetization.
Despite the fact of type-I multiferroic, its magnetoelectricity can be
evidenced by the pyroelectric current, which shows a peak starting at about 170
K and finishing at about 125 K. The saturated ferroelectric polarization change
of around 34 {\mu}C/m2 is observed, which is switchable by the reversed poling
electric field and decreases to about 30 {\mu}C/m2 under a magnetic field of 90
kOe. This magnetoelectricity can be qualitatively reproduced by
first-principles calculations. Our results represent substantial progress to
search for high-temperature multiferroics in ferroelectric fluorides.
