# Surface critical behavior of two-dimensional dilute Ising models.

**Selke, W.**

Institut für Theoretische Physik, Technische Hochschule Aachen,

D-52056 Aachen, Germany

**F. Szalma, P. Lajko**

Institute for Theoretical Physics, Szeged University

H-6720 Szeged, Hungary

**F. Igloi**

Research Institute for Solid State Physics, H-1525 Budapest,

P.O.Box 49, Hungary

and

Institute for Theoretical Physics, Szeged University

H-6720 Szeged, Hungary

### Abstract:

Ising models with nearest-neighbor ferromagnetic random couplings
on a square lattice with a (1,1) surface are studied, using
Monte Carlo techniques and a star-triangle transformation method.
In particular, the critical exponent of the surface magnetization
is found to be close to that of the perfect model, beta_s=1/2.
The crossover from surface to bulk critical properties
is discussed.

cond-mat/9707336