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We combine tensor-network approaches and high-order linked-cluster expansionsto investigate the quantum phase diagram of the antiferromagnetic Kitaev'shoneycomb model in a magnetic field for general spin values. For the pureKitaev model, tensor network calculations confirm the absence of fluxes andspin-spin correlations beyond nearest neighbor in the ground state, but signala breaking of the discrete orientational symmetry for $S\in\{1,3/2,2\}$ inlinewith the semiclassical limit. An intermediate region between Kitaev phases andthe high-field polarized phase is demonstrated for all considered spin values.The analysis of the high-field gap and the associated spectral weight of thepolarized phase for general spin S is consistent with an unconventional quantumcritical breakdown of the high-field polarized phase in accordance with thepresence of exotic physics at intermediate Kitaev couplings.

Kitaev honeycomb antiferromagnet in a field: quantum phase diagram for general spin