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The ground state phase diagram of the dimerized spin-1/2 XX honeycomb modelin presence of a transverse magnetic field (TF) is known. With the absence ofthe magnetic field, two quantum phases, namely, the N\'eel and the dimerizedphases have been identified. Moreover, canted N\'eel and the paramagnetic (PM)phases also emerge by applying the magnetic field. In this paper, using twocomplementary numerical exact techniques, Lanczos exact diagonalization, andDensity matrix renormalization group (DMRG) methods, we study this model byfocusing on the quantum correlations, the concurrence, and the quantum discord(QD) among nearest-neighbor spins. We show that the quantum correlations cancapture the position of the quantum critical points in the whole range of theground state phase diagram consistent with previous results. Although theconcurrence and the QD are short-range, informative about long-ranged criticalcorrelations. In addition, we address a "magnetic-entanglement" behavior thatstarts from an entangled field around the saturation field.

Entanglement and quantum correlations in the XX spin-$1/2$ honeycomb lattice