2013
DOI: 10.1021/jp310180s
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Level Alignments and Coupling Strengths in Conductance Histograms: The Information Content of a Single Channel Peak

Abstract: We develop a theory for describing single channel peaks in conductance histograms by applying probability theory to electron transport. This produces analytical forms for fitting experimental conductance data, where the fitting parameters have physical significance. Depending on the transport mechanism (resonant vs nonresonant tunneling), the peak's line shape contains information on the level alignment of the channel and the channelelectrode coupling(s). We additionally discuss the reliability of fitting data… Show more

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Cited by 26 publications
(40 citation statements)
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References 49 publications
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“…In the absence of background tunneling, Figure 2a, the combined molecule and background model encounters numerical difficulties: the integrand becomes singular as g À f 0. However, as expected, 36 the molecule-only model successfully estimates c ε and c Γ in this case. For a "small" amount of background tunneling (relative to the molecular conductance), Figure 2b, the moleculeonly model poorly estimates c ε (∼40% relative error) and c Γ (∼10% error).…”
Section: Resultssupporting
confidence: 84%
See 1 more Smart Citation
“…In the absence of background tunneling, Figure 2a, the combined molecule and background model encounters numerical difficulties: the integrand becomes singular as g À f 0. However, as expected, 36 the molecule-only model successfully estimates c ε and c Γ in this case. For a "small" amount of background tunneling (relative to the molecular conductance), Figure 2b, the moleculeonly model poorly estimates c ε (∼40% relative error) and c Γ (∼10% error).…”
Section: Resultssupporting
confidence: 84%
“…For example, a single-channel molecular histogram peak encodes quantitative information on (i) the channel's level alignment and (ii) the moleculeÀelectrode coupling strength(s). 34,36 Most analyses, however, ignore the presence of direct electrodeÀelectrode tunneling, which leads to the monotonically decaying "signal" at the left of the histograms. 33,38À40 Such background tunneling is always measured ; in addition to molecular tunneling ; and can qualitatively change the molecular histogram peak.…”
mentioning
confidence: 99%
“…However, instead of using a fixed bias, during the breaking process, I – V s are recorded continuously. We then fit the I – V s to the Breit–Wigner single‐level model and compare the extracted parameters with the ones obtained using a new approach, which was recently proposed by Williams and Reuter . Their approach is based on the application of the single‐level model to conductance histograms.…”
Section: Introductionmentioning
confidence: 99%
“…Dank theoretischer Entwicklungen lässt sich aus diesen Fluktuationen aber auch Nutzen ziehen. Beispielsweise können die Form der Verteilungskurven mit Größen wie der Molekül‐Elektroden‐Kopplung und der relativen energetischen Lage der Molekülorbitale zur Fermi‐Energie der Elektroden in Verbindung gebracht werden 318…”
Section: Evaluation Und Verbesserung Etablierter Theoretischer Ansätzeunclassified