Ultrametric probe of the spin-glass state in a field Academic Article uri icon


  • We study the ultrametric structure of phase space of one-dimensional Ising spin glasses with random power-law interaction in an external random field. Although in zero field the model in both the mean-field and non-mean-field universality classes shows an ultrametric signature, when a field is applied ultrametricity seems only present in the mean-field regime. The results for the non-mean-field case in an external field agree with data for spin glasses studied within the Migdal-Kadanoff approximation. Our results therefore suggest that the spin-glass state might be fragile to external fields below the upper critical dimension. © 2012 American Physical Society.

altmetric score

  • 0.5

author list (cited authors)

  • Katzgraber, H. G., Jörg, T., Krząkała, F., & Hartmann, A. K.

citation count

  • 9

publication date

  • November 2012