  Detailed tunneling spectroscopy of vortex core states can provide important
insight to the momentum structure of the superconducting order parameter. We
present a theoretical study of vortex bound states in iron-based
superconductors by use of a realistic five-band model relevant to these
systems, and superconductivity stabilized by spin-fluctuation generated pairing
vertices yielding an $s\pm$ gap structure. The computed local density of states
agrees remarkably well with both the bias dependence of the local conductance
and the spatial structure of the low-bias conductance as obtained by scanning
tunneling microscopy measurements on LiFeAs [T. Hanaguri et al., Phys. Rev. B
85, 214505 (2012)].
