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We investigate the behavior of quantum coherence of the ground states of 2DHeisenberg XY model and 2D Ising model with transverse field on squarelattices, by using the method of Quantum Renormalization Group (QRG). We showthat the non-analytic behavior of quantum coherence near the critical point,can detect quantum phase transition (QPT) of these models. We also use thescaling behavior of maximum derivative of quantum coherence, with system size,to find the critical exponent of coherence for both models and also the lengthexponent of the Ising model. The results are in close agreement with the onesobtained from entanglement analysis, that is while quantum coherence needs lesscomputational calculations in comparison to entanglement approaches.

Investigation of the Behavior of Quantum Coherence in Quantum Phase Transitions of Two-Dimensional XY and Ising Models