Title

Ground-State Roughness of the Disordered Substrate and Flux Line in d=2

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Chen Zeng, Syracuse University
Y. Shapir, University of Rochester

Document Type

Article

Date

9-3-1996

Language

English

Disciplines

Physics

Description/Abstract

We apply optimization algorithms to the problem of finding ground states for crystalline surfaces and flux lines arrays in presence of disorder. The algorithms provide ground states in polynomial time, which provides for a more precise study of the interface widths than from Monte Carlo simulations at finite temperature. Using $d=2$ systems up to size $420^2$, with a minimum of $2 \times 10^3$ realizations at each size, we find very strong evidence for a $\ln^2(L)$ super-rough state at low temperatures.

Additional Information

10 pages, 3 PS figures, to appear in PRL More information at http://arxiv.org/abs/cond-mat/9609029

Recommended Citation

Middleton, Alan; Zeng, Chen; and Shapir, Y., "Ground-State Roughness of the Disordered Substrate and Flux Line in d=2" (1996). Physics - All Scholarship. 201.
https://surface.syr.edu/phy/201

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.