Publisher's Note: Critical and Griffiths-McCoy singularities in quantum Ising spin glasses on $d$-dimensional hypercubic lattices: A series expansion study [Phys. Rev. E 96, 022139 (2017)]

Figure 2

Ratio plots for (a) $d=4$, (b) $d=3$, and (c) $d=2$. In all cases there is a difference in the intercept, i.e., the value of $1/x_c$, between results for $S\left(0\right)$ and results for ${\chi }_{{}_{\mathrm{SG}}}$, indicating that ${\chi }_{{}_{\mathrm{SG}}}$ diverges in the paramagnetic phase before the QCP is reached, i.e., the singularity in ${\chi }_{{}_{\mathrm{SG}}}$ corresponds to GM singularities, not critical singularities. Note that the difference in $x_c$ values is very large in two dimensions but rapidly decreases with increasing dimension. The fits are linear for $d=2$ and quadratic for $d=3$ and 4. Parameters of the fits are listed in Table I.