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| Paper IPM / Physic / 8797 |
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We have studied the phase diagram and entanglement of the one dimensional Ising model with Dzyaloshinskii-Moriya (DM) interaction. We have applied the quantum renormalization group (QRG) approach to get the stable fixed points, critical point and the running of coupling constants. This model has two phases, antiferromagnetic and saturated chiral phases. We have shown that the staggered magnetization is the order parameter of system and DM interaction produce the chiral order in both phases. Moreover we have analyzed the relevance of the entanglement in the model which let us shed insight on how the critical point is touched as the size of the system becomes large. Nonanalytic behaviour of entanglement and finite size scaling have been analyzed which tightly connected to the critical properties of the model.
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