  We investigate magnetic instabilities in charge-neutral twisted bilayer
graphene close to so-called "magic angles" using a combination of real-space
Hartree-Fock and dynamical mean-field theories. In view of the large size of
the unit cell close to magic angles, we examine a previously proposed rescaling
that permits to mimic the same underlying flat minibands at larger twist
angles. We find that localized magnetic states emerge for values of the Coulomb
interaction $U$ that are significantly smaller than what would be required to
render an isolated layer antiferromagnetic. However, this effect is
overestimated in the rescaled system, hinting at a complex interplay of
flatness of the minibands close to the Fermi level and the spatial extent of
the corresponding localized states. Our findings shed new light on perspectives
for experimental realization of magnetic states in charge-neutral twisted
bilayer graphene.
