Advertisement

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
Articles

Abstract

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 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. M. Carlson, J. T. Chayes, L. Chayes, J. P. Sethna, and D. J. Thouless,J. Stat. Phys. 61:987 (1990).Google Scholar
  2. 2.
    J. R. L. de Almeida and D. J. Thouless,J. Phys. A 11:983 (1978).Google Scholar
  3. 3.
    D. Sherrington and S. Kirkpatrick,Phys. Rev. Lett. 35:1792 (1975).Google Scholar
  4. 4.
    G. Parisi,Phys. Rev. Lett. 43:1754 (1979).Google Scholar
  5. 5.
    C. Kwon and D. J. Thouless,Phys. Rev. B 37:7649 (1988).Google Scholar
  6. 6.
    J. T. Chayes, L. Chayes, J. P. Sethna, and D. J. Thouless,Commun. Math. Phys. 106:41 (1986).Google Scholar
  7. 7.
    A. P. Young,Phys. Rev. Lett. 51:1206 (1983).Google Scholar
  8. 8.
    L. Viana and A. J. Bray,J. Phys. C 18:3037 (1985).Google Scholar
  9. 9.
    I. Kanter and H. Sompolinsky,Phys. Rev. Lett. 58:164 (1987).Google Scholar
  10. 10.
    P. Motishaw,Europhys. Lett. 4:331 (1987).Google Scholar
  11. 11.
    J. T. Chayes and L. Chayes, unpublished.Google Scholar

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

Personalised recommendations