Abstract
We investigate two randomly frustrated 1D or quasi-1D Ising systems with diluted disorder, namely the ferromagnetic chain in a random field and the ladder spin glass. We present an analytical study of the susceptibilities (linear chi , nonlinear chi 3, and higher orders), which characterize the response to a uniform external field at finite temperature. Both models admit a continuum description in the scaling regime of low temperature and low impurity concentration, where the susceptibilities obey power laws, similarly to usual critical phenomena, albeit unlike the mean-field theory of spin glasses. We obtain explicit expressions for the scaling functions of chi and chi 3, and an estimate for the essential Lee-Yang singularity.
Published Version
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