Ising Spin-Glass Transition in a Magnetic Field Outside the Limit of Validity of Mean-Field Theory

L. Leuzzi, G. Parisi, F. Ricci-Tersenghi, and J. J. Ruiz-Lorenzo
Phys. Rev. Lett. 103, 267201 – Published 22 December 2009

Abstract

The spin-glass transition in a magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance. Varying the power in this long-range model corresponds, in a one-to-one relationship, to changing the dimension in spin-glass short-range models. Evidence for a spin-glass transition in a magnetic field is found also for systems whose equivalent dimension is below the upper critical dimension in a zero magnetic field.

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  • Received 3 December 2008

DOI:https://doi.org/10.1103/PhysRevLett.103.267201

©2009 American Physical Society

Authors & Affiliations

L. Leuzzi1,2, G. Parisi1,2,3, F. Ricci-Tersenghi1,3, and J. J. Ruiz-Lorenzo4

  • 1Dipartimento di Fisica, Sapienza Università di Roma, P.le Aldo Moro 2, I-00185 Roma, Italy
  • 2Statistical Mechanics and Complexity Center (SMC) - INFM - CNR, Roma, Italy
  • 3INFN - Sezione di Roma1, Sapienza Università di Roma, P.le Aldo Moro 2, I-00185 Roma, Italy
  • 4Departamento de Física, Univ. Extremadura, Badajoz, E-06071 and BIFI, Spain

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Issue

Vol. 103, Iss. 26 — 31 December 2009

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