Figure 8

(a) RMS Fluctuation of polarization, \((S_F)\) with cluster size (m): (i) No CIL and low Q; \(Q = 0.1\), (ii) No CIL and high Q; \(Q = 30\), (iii) \(J_1 = 7\) and low Q; \(Q = 0.1\), (iv) \(J_1 = 7\), high Q; \(Q = 30\). Here. \(J_2=0\). The binomial distribution corresponds to solid black line. Inset figure is the corresponding log plot. The dashed line corresponds to a slope of \(-1/2\). (b) RMS Fluctuation of local antiferromagnetic order parameter,\(S_{AF}\), and ferromagnetic order parameter, \(S_F\), in a cluster of size m vs Cluster size (m) : (i) \(S_F\) for No CIL and low Q; \(Q = 0.1\), (ii) \(S_{AF}\) for No CIL and low Q; \(Q = 0.1\), (iii) \(S_{F}\) for \(J_2 = 7\) and high Q; \(Q = 30\), (iv) \(S_{AF}\) for \(J_2 = 7\), high Q; \(Q = 30\). Here, \(J_1 = 0\). Inset figure is the corresponding log plot. The dashed line corresponds to a slope of \(-1/2\). In all cases, \(\rho = 0.8\) and \(L = 2000\). MC simulations are performed and averaging is done over 2000 samples.