Multiscaling in Ising quantum chains with random Hilhorst-van Leeuwen perturbations

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We consider the influence on the surface critical behaviour of a quantum Ising chain of quenched random surface perturbations decaying as a power of the distance from the surface (random Hilhorst-van Leeuwen models). We study, analytically and numerically, the multiscaling behaviour of the surface magnetization and the surface energy density in the case of marginal perturbations.
14 pages, 5 figures, LaTeX2e, epsf, elsart

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