We study families of fermionic field states in non-inertial frames which show
no entanglement survival in the infinite acceleration limit. We generalise some
recent results where some particular examples of such states where found. We
analyse the abundance and characteristics of the states showing this behaviour
and discuss its relation with the statistics of the field. We also consider the
phenomenon beyond the single mode approximation.Comment: 6 pages, 4 figures, revtex4-