  Spin- or orbital-selective behaviours in correlated electron materials offer
rich promise for spintronics or orbitronics phenomena and applications deriving
from them. Strong local electronic Coulomb correlations might lead to an
orbital-selective Mott state, characterised by the coexistence of localized
electrons in some orbitals with itinerant electrons in others. Nonlocal
electronic fluctuations are much more entangled in orbital space than the local
ones. For this reason, finding orbital-selective phenomena related to nonlocal
correlations, such as orbital-selective magnetic transitions, is a challenge.
In this work we investigate possibilities to realize an orbital-selective
N\'eel transition (OSNT). We illustrate that stabilising this state requires a
decoupling of magnetic fluctuations in different orbitals, which can only be
realized in the absence of Hund's exchange coupling. On the basis of
two-orbital calculations for a Hubbard model with different bandwidths we show
that the proposed OSNT can be found all the way from the weak to the strong
coupling regime. In the weak coupling regime the transition is governed by a
Slater mechanism and thus occurs first for the narrow orbital. At strong
coupling a Heisenberg mechanism of the OSNT sets in, and the transition occurs
first for the wide orbital. Remarkably, at intermediate values of the
interaction we find a non-trivial regime of the OSNT, where the Slater
mechanism leads to a N\'eel transition occurring first for the wide orbital.
Our work suggests strategies for searching for orbital-selective N\'eel
ordering in real materials, in view of possible spin-orbitronics applications.
