Disorder induced roughening transition of many elastic lines in a periodic potential

Details Disorder induced roughening transition of many elastic lines in a periodic potential Disorder induced roughening transition of many elastic lines in a periodic potential

2000-09-07

arxiv.org/abs/cond-mat/0009108v1

Europhys. Lett. 55, 719 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages RevTeX, 6 eps-figure included

Scientific paper

10.1209/epl/i2001-00473-7

The competing effect of a periodic pinning potential and random point disorder is studied for arrays of elastic lines or directed polymers. The groundstates are investigated by exact combinatorial optimization. In both two and three dimensions a phase diagram is found with two or three distinct phases: a strictly flat phase if the disorder is bounded and weak, a weakly fluctuating phase for intermediate valleys depths, where the lines roughen individually on a scale smaller than the line-line distance, and a rough phase for strong disorder, where the roughness follows the scaling with pure point disorder. The line wandering in the transverse direction leads in the three-dimensional, rough phase to an entangled state with a complicated topology.

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