Abstract
The p-state clock spin glass is studied on d-dimensional hierarchical lattices by means of a Migdal-Kadanoff renormalization-group approach. Considering such procedure as an approximation for Bravais lattices, the spin-glass critical temperature is computed for several values of p as a function of the dimension. Our main results are: (a) the XY limit ( p → ∞) presents a small, but finite, critical temperature in three dimensions; (b) the Ising and XY spin glasses exhibit the same lower critical dimensions ( d ℓ ≈ 2.46, in our case) as predicted by early arguments.
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