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Spin-glass attractor on tridimensional hierarchical lattices in the presence of an external magnetic field

Octavio R. Salmon* and Fernando D. Nobre

  • Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil

  • *octavior@cbpf.br
  • Corresponding author; fdnobre@cbpf.br

Phys. Rev. E 79, 051122 – Published 20 May, 2009

DOI: https://doi.org/10.1103/PhysRevE.79.051122

Abstract

A nearest-neighbor-interaction Ising spin glass, in the presence of an external magnetic field, is studied on different hierarchical lattices that approach the cubic lattice. The magnetic field is considered as uniform or random (following either a bimodal or a Gaussian probability distribution). In all cases, a spin-glass attractor is found, in the plane magnetic field versus temperature, associated with a low-temperature phase. The physical consequences of this attractor are discussed, in view of the present scenario of the spin-glass problem.

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