Have a look at the VAMPIRE 6.0 manual [1]. On page 65 and 68, it might be the atomic-spin-moment and initial-spin-direction that you are looking for:
material:atomic-spin-moment = float [0.01+ μB, default 1.72 μB
] Defines
the local effective spin moment for each atomic site.
material:initial-spin-direction float vector /bool [default
(001) / false] Deter-
mines the initial direction of the spins in the material.
In an Ising model [2], it looks like σ could be set to +5/2 or -5/2.
In the Monte Carlo model that VAMPIRE uses [3], it looks like you
could set the initial + or - direction of S in the
Hamiltonian with the initial-spin-direction.
It looks like the default is:
material[1]:initial-spin-direction=0,0,1
Depending on what you need, it look like you could set it in the +z direction
material[1]:initial-spin-direction=0,0,1
the -z direction
material[1]:initial-spin-direction=0,0,-1
the x direction
material[1]:initial-spin-direction=1,0,0
or y direction
material[1]:initial-spin-direction=0,1,0
What I'm not sure about is the magnitude of S.
I'm thinking that might be related to equation 30 in [3] or the
atomic spin moment.
Hopefully that can help and kind regards,
Gavin