Abstract
The behaviour of the interface of a crystal which is threaded with parallel screw dislocations is analysed in the limits of weak and strong coupling of the interface to the underlying lattice. If the dislocations are distributed as closely spaced pairs of opposite sign the interface is faceted at low temperatures, and undergoes the roughening transition in the weak coupling limit. In contrast, if the dislocations are distributed entirely at random the interface seems to have a glassy, non-faceted low temperature state, and undergoes the super-roughening transition in the weak coupling limit.
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