Dissipative Effects in the Electronic Transport through DNA Molecular Wires

Abstract

We investigate the influence of a dissipative environment which effectively comprises the effects of counterions and hydration shells, on the transport properties of short \DNA wires. Their electronic structure is captured by a tight-binding model which is embedded in a bath consisting of a collection of harmonic oscillators. Without coupling to the bath a temperature independent gap opens in the electronic spectrum. Upon allowing for electron-bath interaction the gap becomes temperature dependent. It increases with temperature in the weak-coupling limit to the bath degrees of freedom. In the strong-coupling regime a bath-induced {\it pseudo-gap} is formed. As a result, a crossover from tunneling to activated behavior in the low-voltage region of the $I$-$V$ characteristics is observed with increasing temperature. The temperature dependence of the transmission near the Fermi energy, $t(E_{\rm F})$, manifests an Arrhenius-like behavior in agreement with recent transport experiments. Moreover, $t(E_{\rm F})$ shows a weak exponential dependence on the wire length, typical of strong incoherent transport. Disorder effects smear the electronic bands, but do not appreciably affect the pseudo-gap formation.