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In this work, we model the zero-bias conductance for the four different DNAstrands that were used in conductance measurement experiment [A. K. Mahapatro,K. J. Jeong, G. U. Lee, and D. B. Janes, Nanotechnology 18, 195202 (2007)]. Ourapproach consists of three elements: (i) ab initio calculations of DNA, (ii)Green's function approach for transport calculations, and (iii) the use of twoparameters to determine the decoherence rates. We first study the role of thebackbone. We find that the backbone can alter the coherent transmissionsignificantly at some energy points by interacting with the bases, though theoverall shape of the transmission stays similar for the two cases. Moreimportantly, we find that the coherent electrical conductance is tremendouslysmaller than what the experiments measure. We consider DNA strands under avariety of different experimental conditions and show that even in the mostideal cases, the calculated coherent conductance is much smaller than theexperimental conductance. To understand the reasons for this, we carefully lookat the effect of decoherence. By including decoherence, we show that our modelcan rationalize the measured conductance of the four strands, bothqualitatively and quantitatively. We find that the effect of decoherence on G:Cbase pairs is crucial in getting agreement with the experiments. However, thedecoherence on G:C base pairs alone does not explain the experimentalconductance in strands containing a number of A:T base pairs. Includingdecoherence on A:T base pairs is also essential. By fitting the experimentaltrends and magnitudes in the conductance of the four different DNA molecules,we estimate for the first time that the deocherence rate is 6 meV for G:C and1.5 meV for A:T base pairs.

Unified model for conductance through DNA with the Landauer-Buttiker formalism