Transverse Ising spin-glass model

We discuss the zero-temperature behavior of the transverse Ising spin-glass ($\pm J_0$) model. The $d$-dimensional quantum model is shown to be equivalent to a classical ($d+1\mathrm{}$)-dimensional Ising spin glass with correlated disorder. A renormalization-group treatment of the one-dimensional quantum model indicates the existence of a spin-glass phase. The Migdal-Kadanoff approximation is used to obtain the phase diagram of the quantum spin glass in two dimensions.