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We study the $\pm J$ transverse-field Ising spin glass model at zerotemperature on d-dimensional hypercubic lattices and in theSherrington-Kirkpatrick (SK) model, by series expansions around the strongfield limit. In the SK model and in high-dimensions our calculated criticalproperties are in excellent agreement with the exact mean-field results,surprisingly even down to dimension $d = 6$ which is below the upper criticaldimension of $d=8$. In contrast, in lower dimensions we find a rich singularbehavior consisting of critical and Griffiths-McCoy singularities. Thedivergence of the equal-time structure factor allows us to locate the criticalcoupling where the correlation length diverges, implying the onset of athermodynamic phase transition. We find that the spin-glass susceptibility aswell as various power-moments of the local susceptibility become singular inthe paramagnetic phase $\textit{before}$ the critical point. Griffiths-McCoysingularities are very strong in two-dimensions but decrease rapidly as thedimension increases. We present evidence that high enough powers of the localsusceptibility may become singular at the pure-system critical point.

Critical and Griffiths-McCoy singularities in quantum Ising spin-glasses on d-dimensional hypercubic lattices: A series expansion study