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A nearest-neighbor-interaction Ising spin glass, in the presence of anexternal magnetic field, is studied on different hierarchical lattices thatapproach the cubic lattice. The magnetic field is considered as uniform, orrandom (following either a bimodal or a Gaussian probability distribution). Inall cases, a spin-glass attractor is found, in the plane magnetic field versustemperature, associated with a low-temperature phase. The physical consequencesof this attractor are discussed, in view of the present scenario of thespin-glass problem.

Spin-Glass Attractor on Tridimensional Hierarchical Lattices in the Presence of an External Magnetic Field