  We investigate the transport properties of a quantum dot coupled to leads
interacting with a multi-spin system using the generalized master equation
within the Coulomb blockade regime. We find that if two states for each
scattering region electron manifold are included, several signatures of the
interacting spin system appear in steady-state transport properties. We provide
a theoretical mapping of differential conductance peak signatures and all spin
Hamiltonian parameters related to the inclusion of excited state transitions
between uncharged and charged electron manifolds. Our predictions describe a
scheme of only using a quantum dot and differential conductance to measure
magnetic anisotropy, inter-spin exchange coupling, exchange coupling between
the spin system and itinerant electron, and applied magnetic field response.
