  We investigate the effect of an applied uniaxial strain on the ferromagnetic
instability due to long- range Coulomb interaction between Dirac fermions in
graphene. In case of undeformed graphene the ferromagnetic exchange instability
occurs at sufficiently strong interaction within the Hartree- Fock
approximation. In this work we show that using the same theoretical framework
but with an additional applied uniaxial strain, the transition can occur for
much weaker interaction, within the range in suspended graphene. We also study
the consequence of strain on the formation of localized magnetic states on
adatoms in graphene. We systematically analyze the interplay between the
anisotropic (strain- induced) nature of the Dirac fermions in graphene, on-
site Hubbard interaction at the impurity and the hybridization between the
graphene and impurity electrons. The polarization of the electrons in the
localized orbital is numerically calculated within the mean- field self-
consistent scheme. We obtain complete phase diagram containing non- magnetic as
well as magnetic regions and our results can find prospective application in
the field of carbon- based spintronics.
