  In this work, we address the ground state properties of the anisotropic
spin-1/2 Heisenberg XYZ chain under the interplay of magnetic fields and the
Dzyaloshinskii-Moriya (DM) interaction which we interpret as an electric field.
The identification of the regions of enhanced sensitivity determines
criticality in this model. We calculate the Wigner-Yanase skew information
(WYSI) as a coherence witness of an arbitrary two-qubit state under specific
measurement bases. The WYSI is demonstrated to be a good indicator for
detecting the quantum phase transitions. The finite-size scaling of coherence
susceptibility is investigated. We find that the factorization line in the
antiferromagnetic phase becomes the factorization volume in the gapless chiral
phase induced by DM interactions, implied by the vanishing concurrence for a
wide range of field. We also present the phase diagram of the model with three
phases: antiferromagnetic, paramagnetic, and chiral, and point out a few common
mistakes in deriving the correlation functions for the systems with broken
reflection symmetry.
