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

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

1996-09-03

arxiv.org/abs/cond-mat/9609029v1

Phys. Rev. Lett. 77, 3204 (1996)

Physics

Condensed Matter

10 pages, 3 PS figures, to appear in PRL

Scientific paper

10.1103/PhysRevLett.77.3204

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.

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