  The shareability of quantum correlations among the constituent parties of a
multiparty quantum system is restricted by the quantum information theoretic
concept called monogamy. Depending on the multiparty quantum systems, different
measures of quantum correlations show disparate signatures for monogamy. We
characterize the shareability of quantum correlations, from both
entanglement-separability and information-theoretic kinds, in a multiparty
quantum spin system containing two- and three-body interactions with respect to
its system parameters and external applied magnetic field. Monogamy score in
this system exhibits both monogamous and non-monogamous traits depending on the
quantum correlation measure, strengths of system parameters and external
magnetic field. The percentage of non-monogamous states when the
information-theoretic quantum correlations are considered is higher than that
of the entanglement-separability kind in allowed ranges of these variables. The
integral powers of the quantum correlation measures for which the
non-monogamous states become monogamous are identified.

Quantum Physics;Statistical Mechanics