Journal of Statistical Physics

, Volume 60, Issue 1–2, pp 275–279 | Cite as

Stiffness exponent, number of pure states, and Almeida-Thouless line in spin-glasses

  • A. C. D. van Enter
Short Communications


We show how an inequality for the stiffness exponent for spin-glass models proposed by Fisher and Huse could be violated. We analyze their derivation and point out that their scaling arguments do not apply to investigations of the difference between systems with periodic and antiperiodic boundary conditions. As a consequence, the possibility remains open that in sufficiently high dimensions an infinite number of pure states exists and that an Almeida-Thouless line-spin-glass transition in a field-occurs, as is predicted in competing theories.

Key words

Spin-glasses number of pure states Almeida-Thouless line 


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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. C. D. van Enter
    • 1
    • 2
  1. 1.Department of PhysicsTechnionHaifaIsrael
  2. 2.Department of MathematicsUniversity of Texas at AustinAustin

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