The solid-on-solid surface width around the roughening transition

H.G. Evertz, M. Hasenbusch, M. Marcu, Klaus Pinn

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung


We investigate the surface width W of solid-on-solid surfaces in the vicinity of the roughening temperature Tr. Above Tr, W2 is expected to diverge with the system size L like ln L. However, close to Tr a clean ln L behavior can only be seen on extremely large lattices. Starting from the Kosterlitz-Thouless renormalization group, we derive an improved formula that describes the small L behavior on both sides of Tr. For the discrete Gaussian model, we used the valleys-to-mountains-reflections cluster algorithm in order to simulate the fluctuating solid-on-solid surface. The base plane above which the surface is defined is an L × L square lattice. In the simulation we took 8 ⩽ L ⩽ 256. The improved formula fits the numerical results very well. From the analysis, we estimate the roughening temperature to be Tr = 0.755(3).
Seiten (von - bis)31-39
FachzeitschriftPhysica A: Statistical Mechanics and its Applications
PublikationsstatusVeröffentlicht - 1993
Extern publiziertJa


Untersuchen Sie die Forschungsthemen von „The solid-on-solid surface width around the roughening transition“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren