  We study here fractional orbital angular momentum (OAM) states in electron
vortex beams (EVB) from the perspective of geometric phase. We have considered
the skyrmionic model of an electron, where it is depicted as a scalar electron
orbiting around the vortex line, which gives rise to the spin degrees of
freedom. The geometric phase acquired by the scalar electron orbiting around
the vortex line induces the spin-orbit interaction, which leads to the
fractional OAM states with non-quantized monopole charge associated with the
corresponding geometric phase. This involves tilted vortex in EVBs. The
monopole charge undergoes the renormalization group (RG) flow, which
incorporates a length scale dependence making the fractional OAM states
unstable upon propagation. It is pointed out that when EVBs move in an external
magnetic field, the Gouy phase associated with the Laguerre-Gaussian modes
modifies the geometric phase factor and a proper choice of the radial index
helps to have a stable fractional OAM state.
