Reply to Comment on "Electron transport through correlated molecules computed using the time-independent Wigner function: Two critical tests''

TL;DR

This paper refutes claims made in a comment about their previous work on electron transport, demonstrating that the criticized method (DG) fails to accurately reproduce conductance and explaining the reasons for its failure.

Contribution

The authors clarify misunderstandings, defend their original critique of the DG method, and provide new results showing the method's failure in a specific model.

Findings

DG method fails to reproduce conductance quantum in tested models

Authors' results confirm the failure of the DG method

Analysis explains why the DG method does not work as intended

Abstract

In their Comment, Greer et al (i) put us in charge of a pretended wrong claim, which we never made in Phys.~Rev.~B {\bf 78}, 115315 (2008), where we criticized a method (DG)proposed by two of them, (ii) incorrectly claim that the DG method can reproduce the conductance quantum $g_0$, but (iii) to deduce $g_0$ for a toy model, they carry out calculations within the standard Landauer method, which has nothing to do with the DG's. We present results for their model obtained within the DG method, which demonstrate that the DG method fails as lamentably as in the examples we presented in our earlier work. We also analyze the physical reasons why the DG method fails.