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Exact Results for a One-Dimensional Random-Anisotropy Spin Glass

  • H. Thomas
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)

Abstract

Spin-glass behaviour induced by random uniaxial anisotropy has recently been discussed by Pelcovits, Pytte and Rudnik /1/. It was found that a random distribution of anisotropy axes destroys the ferromagnetic state and generates a spin-glass state in fewer than four dimensions. This note gives an exact solution for the one-dimensional case. The ground-state spin configuration is represented as a random walk in spin space, which demonstrates clearly the absence of ferromagnetic order. There exists a spectrum of low-lying excitation extending down to zero energy which gives rise to specific properties characteristic of a one-dimensional spin-glass ground state.

Keywords

Spin Space Ferromagnetic Order Configurational Average Magnetic Ground State Full Sphere 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R.A. Pelcovits, E. Pytte, J. Rudnick, Phys.Rev. Letters 40, 476 (1978)ADSCrossRefGoogle Scholar
  2. 2.
    R. Oppermann, H. Thomas, Z.Physik B22, 387 (1975)ADSGoogle Scholar
  3. 3.
    R. Morf, H. Thomas, Z.Physik B23, 81 (1976)ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • H. Thomas
    • 1
  1. 1.Institut für PhysikUniversität BaselSwitzerland

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