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Spin- or orbital-selective behaviours in correlated electron materials offerrich promise for spintronics or orbitronics phenomena and applications derivingfrom them. Strong local electronic Coulomb correlations might lead to anorbital-selective Mott state, characterised by the coexistence of localizedelectrons in some orbitals with itinerant electrons in others. Nonlocalelectronic fluctuations are much more entangled in orbital space than the localones. For this reason, finding orbital-selective phenomena related to nonlocalcorrelations, such as orbital-selective magnetic transitions, is a challenge.In this work we investigate possibilities to realize an orbital-selectiveN\'eel transition (OSNT). We illustrate that stabilising this state requires adecoupling of magnetic fluctuations in different orbitals, which can only berealized in the absence of Hund's exchange coupling. On the basis oftwo-orbital calculations for a Hubbard model with different bandwidths we showthat the proposed OSNT can be found all the way from the weak to the strongcoupling regime. In the weak coupling regime the transition is governed by aSlater mechanism and thus occurs first for the narrow orbital. At strongcoupling a Heisenberg mechanism of the OSNT sets in, and the transition occursfirst for the wide orbital. Remarkably, at intermediate values of theinteraction we find a non-trivial regime of the OSNT, where the Slatermechanism leads to a N\'eel transition occurring first for the wide orbital.Our work suggests strategies for searching for orbital-selective N\'eelordering in real materials, in view of possible spin-orbitronics applications.

Can Orbital-Selective N\'eel Transitions Survive Strong Nonlocal Electronic Correlations?