Abstract
A formal correspondence beetwen the surface magnetization of an Ising quantum chain, perturbed by the paper-folding aperiodic sequence, and the partition function of a classical Ising chain in an inhomogeneous external field is derived. The perturbation is marginal and the critical exponent associated with the surface magnetization is a continuous function of the perturbation amplitude. We obtain this exponent by analysing the classical chain.
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