Holstein model and Datta model of dephasing in one-dimensional chains

We consider the recently proposed “momentum conserving” dephasing model of Golizadeh-Mojarad and Datta [R. Golizadeh-Mojarad, S. Datta, Phys. Rev. B 75 (2007) 081301(R)] versus the “momentum relaxing” Holstein dephasing model. For both models, a detailed analysis of the coherent and incoherent components of the transmission coefficient is presented. The comparison between the two models reveals significant differences in the scaling properties of the coherent and incoherent contributions as functions of the dephasing strength and the length of the region where it acts. We also provide an analytic model that describes the peculiar behavior of the coherent component of the transmission coefficient. Our simulations are based on the Keldysh Green’s function method in the tight-binding framework.