4 papers · 1 filter
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…
Conformal Profiles in the Hilhorst--van Leeuwen Model
D. Karevski, L. Turban, F. Igloi
We study the critical energy and magnetization profiles for the Ising quantum chain with a marginal extended surface perturbation of the form A/y, y being the distance from the sur…
Percolation and Conduction in Restricted Geometries
P. Lajko, L. Turban
The finite-size scaling behaviour for percolation and conduction is studied in two-dimensional triangular-shaped random resistor networks at the percolation threshold. The numerica…
Extended surface disorder in the quantum Ising chain
L. Turban, D. Karevski, F. Igloi
We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may…