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The mechanical separation of the double helical DNA structure induced byforces pulling apart the two DNA strands (``unzipping'') has been the subjectof recent experiments. Analytical results are obtained within various models ofinteracting pairs of directed walks in the (1,1,...,1) direction on thehypercubic lattice, and the phase diagram in the force-temperature plane isstudied for a variety of cases. The scaling behaviour is determined at both theunzipping and the melting transition. We confirm the existence of a colddenaturation transition recently observed in numerical simulations: for afinite range of forces the system gets unzipped by {\it decreasing} thetemperature. The existence of this transition is rigorously established forgeneric lattice and continuum space models.Comment: 19 pages, 5 eps figures; revised version with minor changes,  presentation simplified in the text with details in appendix. Accepted for  publication in Phys. Rev.

Phase diagram of force-induced DNA unzipping in exactly solvable models