Magnetism in one-dimensional disordered systems

  • George Theodorou
  • Morrel H. Cohen
7. Disorder
Part of the Lecture Notes in Physics book series (LNP, volume 96)


A system of localized spins, randomly distributed on a one-dimensional array of sites and interacting via a nearest neighbor exchange which depends exponentially on the random spin separation, is studied. We have obtained the low temperature behavior of the magnetic susceptibility (χ ∫ T−Y) the heat capacity (C ∫ T−α) and the correlation length (ε ∫ T−ν), for the one-dimensional disordered Heisenberg and Ising models and for ferro and antiferromagnetic coupling. We found that in the Heisenberg case the exponents λ, α and ν change from nonuniversal to universal when the concentration of the spins reaches a critical value, while for the Ising model they are always concentration dependent. Experiments are suggested in order to observe the cross-over phenomena.


Heat Capacity Correlation Length Ising Model Antiferromagnetic Coupling Neighbor Exchange 


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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • George Theodorou
    • 1
  • Morrel H. Cohen
    • 2
  1. 1.Bell LaboratoriesMurray HillUSA
  2. 2.The University of ChicagoChicagoUSA

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