Abstract

Density-functional theory (DFT) simulations corrected by the intramolecular Coulomb repulsion $U$ are performed to evaluate the vibrational inelastic electron tunneling spectroscopy (IETS) of ${\text{O}}_{2}$ on Ag(110). In contrast to DFT calculations that predict a spinless adsorbed molecule, the inclusion of the $U$ correction leads to the polarization of the molecule by shifting a spin-polarized molecular orbital toward the Fermi level. Hence, $\text{DFT}+U$ characterizes ${\text{O}}_{2}$ on Ag(110) as a mixed-valent system. This has an important implication in IETS because a molecular resonance at the Fermi level can imply a decrease in conductance while in the off-resonance case, an increase in conductance is the expected IETS signal. We use the lowest-order expansion on the electron-vibration coupling in order to evaluate the magnitude and spatial distribution of the inelastic signal. The final IET spectra are evaluated with the help of the self-consistent Born approximation and the effect of temperature and modulation-voltage broadening are explored. Our simulations reproduce the experimental data of ${\text{O}}_{2}$ on Ag(110) [J. R. Hahn, H. J. Lee, and W. Ho, Phys. Rev. Lett. 85, 1914 (2000)] and give extra insight of the electronic and vibrational symmetries at play. This ensemble of results reveals that the IETS of ${\text{O}}_{2}$ is more complicated that a simple decrease in conductance and cannot be ascribed to the effect of a single molecular-orbital resonance.

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