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Critical behavior of a degenerate ferromagnet in a uniaxial random field: Exact results in a space of arbitrary dimension

  • D. É. Fel’dman
Solids

Abstract

The critical behavior of the transverse (with respect to the field) magnetization component in classical degenerate magnets with only nearest-neighbors interaction in a uniaxial random magnetic field at zero temperature is found exactly. For a Gaussian distribution of the random field the asymptotic transverse magnetization in strong fields does not depend on the dimension of the space and is of the form m ∝ 1nh0/h 0 2 , where h0 is the width of the distribution. For a bimodal distribution, where only the field direction is random and the amplitude is fixed, the transverse magnetization behaves as m∝exp(−const/(H c H)D/2), where H is the amplitude of the random field, D is the dimension of the space, and H c is the critical field.

Keywords

Spectroscopy Magnetic Field Gaussian Distribution State Physics Field Theory 
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Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • D. É. Fel’dman
    • 1
  1. 1.L. D. Landau Institute of Theoretical PhysicsChernogolovka, Moscow RegionRussia

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