TY - JOUR

T1 - The solid-on-solid surface width around the roughening transition

AU - Evertz, H.G.

AU - Hasenbusch, M.

AU - Marcu, M.

AU - Pinn, Klaus

PY - 1993

Y1 - 1993

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-0040943255&partnerID=MN8TOARS

U2 - 10.1016/0378-4371(93)90094-K

DO - 10.1016/0378-4371(93)90094-K

M3 - Article

VL - 199

SP - 31

EP - 39

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1

ER -