The $q$-dependent magnetic susceptibility for disordered Ising and classical Heisenberg chains is calculated. The coupling between spins is of the form $J\left(n\right)=J_0{e}^{-\beta \mathrm{}(n-1\mathrm{})\mathrm{}}$, $\beta >0\mathrm{}$, with $n$ the random number of interatomic units between neighboring spins. The cases where $J$ is ferromagnetic or antiferromagnetic or of spin-glass type are examined.

• Received 18 April 1977

DOI:https://doi.org/10.1103/PhysRevB.16.3955