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Kosterlitz-Thouless-Berezinskii transition in the one-dimensional quantum roughening model.

We present numerical simulations of the one-dimensional quantum roughening model. We show that the system undergoes a zero-temperature phase transition of the Kosterlitz-Thouless-Berezinskii type. This transition leads to a superfluid state (nondissipative mass transfer). The mechanism responsible for this transition is very similar to that of the phase transition in two-dimensional smectic crystals.