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Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain

Dragi Karevski·Gábor Palágyi·Loïc Turban
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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.

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Dragi Karevski, Gábor Palágyi, Loïc Turban. 1994-12-13. Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain. https://doi.org/10.1088/0305-4470%2F28%2F1%2F011

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