Ground-state roughness of the disordered substrate and flux line in d=2

Chen Zeng, A. Alan Middleton, Y. Shapir

Research output: Contribution to journalArticlepeer-review

57 Scopus citations


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 4202, with a minimum of 2 × 103 realizations at each size, we find very strong evidence for a ln2(L) super-rough state at low temperatures.

Original languageEnglish (US)
Pages (from-to)3204-3207
Number of pages4
JournalPhysical Review Letters
Issue number15
StatePublished - 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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