Inelastic vibrational signals in electron transport across graphene nanoconstrictions
Tue Gunst, Troels Markussen, Kurt Stokbro, Mads Brandbyge

TL;DR
This paper models inelastic vibrational signals in electron transport through graphene nanoconstrictions, revealing their dependence on resonance tuning and electrode coupling, and introduces a novel first-principles computational method.
Contribution
It introduces a new first-principles method that accounts for phonon broadening and electrode coupling effects in calculating inelastic signals in graphene nanoconstrictions.
Findings
Inelastic signals appear only at electron transmission resonances.
Signals are robust despite strong electrode coupling.
Full self-consistent potential effects are minor.
Abstract
We present calculations of the inelastic vibrational signals in the electrical current through a graphene nanoconstriction. We find that the inelastic signals are only present when the Fermi-level position is tuned to electron transmission resonances, thus, providing a fingerprint which can link an electron transmission resonance to originate from the nanoconstriction. The calculations are based on a novel first-principles method which includes the phonon broadening due to coupling with phonons in the electrodes. We find that the signals are modified due to the strong coupling to the electrodes, however, still remain as robust fingerprints of the vibrations in the nanoconstriction. We investigate the effect of including the full self-consistent potential drop due to finite bias and gate doping on the calculations and find this to be of minor importance.
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