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

Dragi Karevski (1) , Gábor Palágyi , Loic Turban (1)

1 IJL - Institut Jean Lamour

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.

Domaines: Autre [cond-mat.other]; Physique des Hautes Energies - Théorie [hep-th]

Dragi Karevski, Gábor Palágyi, Loic Turban. Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain. Journal of Physics A General Physics (1968-1972), 1995, 28, pp.45. ⟨10.1088/0305-4470/28/1/011⟩. ⟨hal-00422004⟩