Journal of Statistical Physics

, Volume 61, Issue 5–6, pp 1069–1084 | Cite as

Bethe lattice spin glass: The effects of a ferromagnetic bias and external fields. II. Magnetized spin-glass phase and the de Almeida-Thouless line

  • J. M. Carlson
  • J. T. Chayes
  • J. P. Sethna
  • D. J. Thouless


In this and the companion paper, we analyze the ±J Ising spin-glass model on the Bethe lattice with fixed uncorrelated boundary conditions. Phase diagrams are derived as a function of temperature vs. concentration of ferromagnetic bonds and, for a symmetric distribution of bonds, external field vs. temperature. In this part we characterize magnetized spin-glass (MSG) phases by divergence of an appropriate susceptibility: at zero field this signals the existence of an intermediate MSG phase; at nonzero field, this is used to identify the de Almeida-Thouless line.

Key words

Spin glass Bethe lattice multicritical point 


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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • J. M. Carlson
    • 1
  • J. T. Chayes
    • 2
  • J. P. Sethna
    • 3
  • D. J. Thouless
    • 4
  1. 1.Institute for Theoretical PhysicsUniversity of CaliforniaSanta Barbara
  2. 2.Department of MathematicsUniversity of CaliforniaLos Angeles
  3. 3.Department of PhysicsCornell UniversityIthaca
  4. 4.Department of PhysicsUniversity of WashingtonSeattle

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