28 citations · 91 across the 11 of their papers we have counts for
8 papers · 1 filter
Multiscaling in Ising quantum chains with random Hilhorst-van Leeuwen perturbations
L. Turban
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 (…
Surface-induced disorder and aperiodic perturbations at first-order transitions
L. Turban, F. Igloi
In systems displaying a bulk first-order transition the order parameter may vanish continuously at a free surface, a phenomenon which is called surface-induced disorder. In the pre…
Anisotropic critical phenomena in parabolic geometries: the directed self-avoiding walk
L. Turban
The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=\pm Ct^α. Using a scaling argument, 1/C is shown to be a margi…
Critical behaviour near multiple junctions and dirty surfaces in the two-dimensional Ising model
F. Igloi, L. Turban, B. Berche
We consider m two-dimensional semi-infinite planes of Ising spins joined together through surface spins and study the critical behaviour near to the junction. The m=0 limit of the…
Universal amplitude of the free energy density in finite-size scaling: the Potts universality
L Turban, J-M Debierre
Using the numerical results of the finite-size scaling study of the q-state Potts model by Bloete and Nightingale, we obtain conjectured expressions for the universal amplitude of…
Critical behaviour in parabolic geometries
I. Peschel, L. Turban, Ferenc Igloi
We study two-dimensional systems with boundary curves described by power laws. Using conformal mappings we obtain the correlations at the bulk critical point. Three different class…