Abstract
The denaturation transition of DNA molecules is numerically investigated with a focus on the Z2 symmetry related with the two opposite directions of the winding: the left-handed (Z-type) and the right-handed (B-type) windings. We extend the previous DNA model Hamiltonian to include a term that phenomenologically describes the tangential interaction, making the same twist direction favored by adjacent base pairs. Evoking the large strength of the tangential interaction, we reveal the Z2 symmetry nature of twist directions associated with the opening of DNA strands. We also observe that the boundary between the B-domain and the Z-domain is point-like, in accordance with a recent experimental result.
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