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When strong spin-orbit coupling removes orbital degeneracy, it would at thesame time appear to render the Jahn-Teller mechanism ineffective. We discusssuch a situation, the t_2g manifold of iridates, and show that, while theJahn-Teller effect does indeed not affect the j_eff=1/2 antiferromagneticallyordered ground state, it leads to distinctive signatures in the j_eff=3/2spin-orbit exciton. It allows for a hopping of the spin-orbit exciton betweenthe nearest neighbor sites without producing defects in the j_eff=1/2antiferromagnet. This arises because the lattice-driven Jahn-Teller mechanismonly couples to the orbital degree of freedom, but is not sensitive to thephase of the wave function that defines isospin j_z. This contrasts sharplywith purely electronic propagation, which conserves isospin, and presence ofJahn-Teller coupling can explain some of the peculiar features of measuredresonant inelastic x-ray scattering spectra of Sr_2IrO_4.

Jahn-Teller effect in systems with strong on-site spin-orbit coupling