Abstract
Abstract In this paper, a one-dimensional spin-1/2 Ising model in a transverse magnetic field (ITF) with added the transverse Dzyaloshinskii-Moriya (DM) interaction is considered. The Hamiltonian is exactly diagonalized using the fermionization approach. The energy spectrum, the magnetization and the chiral order parameter are calculated in the thermodynamic limit of the system. In the absence of the transverse magnetic field, a second order quantum phase transition into the chiral ordered phase is happened. In presence of the transverse magnetic field, the quantum critical point is changed. Based on obtained results, three phases named chiral, Neel and ferromagnetic are distinguished and the ground state phase diagram has been plotted. In addition to the response functions, the entanglement and the quantum discord between nearest and next to nearest pair of spins are also investigated. Regarding the quantum correlations, the existence of different ground state phases has been confirmed.
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