  Recent discoveries in graphene bilayers revealed that when one of the layers
is rotated, superconductivity emerges. We provide an explanation for this
phenomenon . We find that due to the layer rotations, the spinors are modified
in such way that a repulsive interaction, becomes attractive in certain
directions.
  This result is obtained following a sequence of steps: when layer $2$ is
rotated by an angle $\theta$ ,this rotation is equivalent to a rotation of an
angle $-\theta$ of the linear momentum .Due to the discreet lattice, in layer
$1$, the Fourier transform conserves the linear momentum $modulo$ the hexagonal
reciprocal lattice vector . In layer $2$, due to the rotation, the linear
momentum is conserved $modulo$ the $Moire$ reciprocal lattice vector .
Periodicity is achieved at the $magical $ angles obtained from the condition of
commensuration of the two lattices. We find that the rotations transform the
spinors around the nodal points, such that a repulsive interaction becomes
attractive, giving rise to superconductivity.

Mesoscale and Nanoscale Physics