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

L. Turban

cond-mat.stat-mecharXiv:cond-mat/0110403

Abstract

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.

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