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Magnetic fields can give rise to a plethora of phenomena in Kitaev spinsystems, such as the formation of non-trivial spin liquids in two and threespatial dimensions. For the original honeycomb Kitaev model, it has recentlybeen observed that the sign of the bond-directional exchange is of crucialrelevance for the field-induced physics, with antiferromagnetic couplingsgiving rise to an intermediate spin liquid regime between the low-field gappedKitaev spin liquid and the high-field polarized state, which is not present inthe ferromagnetically coupled model. Here, by employing a Majorana mean-fieldapproach for a magnetic field pointing along the [001] direction, we present asystematic study of field-induced spin liquid phases for a variety of two andthree-dimensional lattice geometries. We find that antiferromagnetic couplingsgenerically lead to (i) spin liquid phases that are considerably more stable infield than those for ferromagnetic couplings, and (ii) an intermediate spinliquid phase which arises from a change in the topology of the Majorana bandstructure. Close inspection of the mean-field parameters reveal that theintermediate phase occurs due to a field-driven sign change in an 'effective'$z$-bond energy parameter. Our results clearly demonstrate the richness of theMajorana physics of the antiferromagnetic Kitaev models, in comparison to theirferromagnetic counterparts.

Field stability of Majorana spin liquids in antiferromagnetic Kitaev models