Articoli in riviste
|Local critical behaviour at aperiodic surface extended perturbation in the Ising quantum chain|
|Karevski D, Palágyi G, Turban L|
|Journal of Physics A: Mathematical and General 28 (1994) 45-55|
|DOI : 10.1088/0305-4470/28/1/011|
|ArXiv : cond-mat/9411030 [PDF]|
|HAL : hal-00422004|
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.