Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain
Condensed Matter
2016-08-14 v2 High Energy Physics - Theory
Abstract
The surface critical behaviour of the semi--infinite one--dimensional quantum Ising model in a transverse field is studied in the presence of an aperiodic surface extended modulation. The perturbed couplings are distributed according to a generalized Fredholm sequence, leading to a marginal perturbation and varying surface exponents. The surface magnetic exponents are calculated exactly whereas the expression of the surface energy density exponent is conjectured from a finite--size scaling study. The system displays surface order at the bulk critical point, above a critical value of the modulation amplitude. It may be considered as a discrete realization of the Hilhorst--van Leeuwen model.
Keywords
Cite
@article{arxiv.cond-mat/9411030,
title = {Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain},
author = {Dragi Karevski and Gábor Palágyi and Loïc Turban},
journal= {arXiv preprint arXiv:cond-mat/9411030},
year = {2016}
}
Comments
13 pages, TeX file + 6 figures, epsf needed