Temperature effect in the conductance of hydrogen molecule

Abstract

We present a many-body calculation for the conductance of a conducting bridge of a simple hydrogen molecule between $Pt$ electrodes.The experimental results showed that the conductance $G=dI/dV$ has the maximum value near the quantum unit $G_0=2e^2/h$. The $I-V$ dependence presents peak and dip and we consider that the electron-phonon interaction is responsible for this behavior. At T=0 there is a step in this dependence for the energy of phonons ${\omega }_0$ which satisfies $eV={\omega }_0$. We calculated the conductance at finite temperature and showed that $dG(T)/dV\propto 1/4T{\cosh }^2\frac{eV-{\omega }_0}{2T}$.

3 pages

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