The behaviour of the interface of a crystal which was threaded by parallel screw dislocations was analyzed in the limits of weak and strong coupling of the interface to the underlying lattice. If the dislocations were closely spaced pairs of opposite sign, the interface was faceted at low temperatures and underwent a roughening transition in the weak-coupling limit. On the other hand, if the dislocations were distributed entirely at random, the interface seemed to exhibit a glassy non-faceted low-temperature state, and underwent a super-roughening transition in the weak-coupling limit.

Effect of Screw Dislocations on the Roughening Transition. A.D.Armour, R.M.Bowley, P.Nozieres: Journal of Low Temperature Physics, 1998, 110[1-2], 127-32