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

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

2001-10-19

arxiv.org/abs/cond-mat/0110403v1

Physica A303 (2002) 275

Physics

Condensed Matter

Statistical Mechanics

14 pages, 5 figures, LaTeX2e, epsf, elsart

Scientific paper

10.1016/S0378-4371(01)00490-3

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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