Planar spin glasses on d-dimensional hierarchical lattices: a Migdal-Kadanoff renormalization-group analysis

F.D. Nobre, A.M. Mariz and E.S. Sousa

Physica A: Statistical Mechanics and its Applications, 1993, vol. 196, issue 4, 505-518

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 (dℓ ≈ 2.46, in our case) as predicted by early arguments.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:196:y:1993:i:4:p:505-518

DOI: 10.1016/0378-4371(93)90032-Y

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