Gaining insight into molecular tunnel junctions with a pocket calculator without I-V data fitting. Five-thirds protocol

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Main Author: Baldea, Ioan
Format: Preprint
Published: 2024
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author Baldea, Ioan
author_facet Baldea, Ioan
contents The proposed protocol is an attempt to meet the experimentalists' legitimate desire of reliably and easily extracting microscopic parameters from current-voltage measurements on molecular junctions. It applies to junctions wherein charge transport dominated by a single level (molecular orbital, MO) occurs via off-resonant tunneling. The recipe is simple. The measured current-voltage curve $I = I(V)$ should be recast as a curve of $V^{5/3}/I$ versus $V$. This curve exhibits two maxima: one at positive bias ($V = V_{p+}$), another at negative bias ($V = V_{p-}$). The values $V_{p +} > 0$ and $V_{p -} < 0$ at the two peaks of the curve for $V^{5/3}/I$ at positive and negative bias and the corresponding values $I_{p +} = I(V_{p+}) > 0$ and $I_{p -} = I(V_{p-}) < 0$ of the current is all information needed as input. The arithmetic average of $V_{p +}$ and $\vert V_{p -}\vert$ in volt provides the value in electronvolt of the MO energy offset $\varepsilon_0 = E_{MO} - E_F$ relative to the electrode Fermi level ($\vert \varepsilon_0\vert = e (V_{p +} + \vert V_{p -}\vert )/2$). The value of the (Stark) strength of the bias-driven MO shift is obtained as $γ= (4/5) (V_{p +} - \vert V_{p -} \vert) / (V_{p +} + \vert V_{p -} \vert) $. Even the low-bias conductance estimate, $ G = (3/8) (I_{p +} / V_{p +} + I_{p -} / V_{p -})$, can be a preferable alternative to that deduced from fitting the $I$-$V$ slope in situations of noisy curves at low bias. To demonstrate the reliability and the generality of this ``five-thirds'' protocol, I illustrate its wide applicability for molecular tunnel junctions fabricated using metallic and nonmetallic electrodes, molecular species possessing localized $σ$ and delocalized $π$ electrons, and} various techniques (mechanically controlled break junctions, STM break junctions, conducting probe AFM junctions, and large area junctions).
format Preprint
id arxiv_https___arxiv_org_abs_2402_10037
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gaining insight into molecular tunnel junctions with a pocket calculator without I-V data fitting. Five-thirds protocol
Baldea, Ioan
Mesoscale and Nanoscale Physics
Chemical Physics
The proposed protocol is an attempt to meet the experimentalists' legitimate desire of reliably and easily extracting microscopic parameters from current-voltage measurements on molecular junctions. It applies to junctions wherein charge transport dominated by a single level (molecular orbital, MO) occurs via off-resonant tunneling. The recipe is simple. The measured current-voltage curve $I = I(V)$ should be recast as a curve of $V^{5/3}/I$ versus $V$. This curve exhibits two maxima: one at positive bias ($V = V_{p+}$), another at negative bias ($V = V_{p-}$). The values $V_{p +} > 0$ and $V_{p -} < 0$ at the two peaks of the curve for $V^{5/3}/I$ at positive and negative bias and the corresponding values $I_{p +} = I(V_{p+}) > 0$ and $I_{p -} = I(V_{p-}) < 0$ of the current is all information needed as input. The arithmetic average of $V_{p +}$ and $\vert V_{p -}\vert$ in volt provides the value in electronvolt of the MO energy offset $\varepsilon_0 = E_{MO} - E_F$ relative to the electrode Fermi level ($\vert \varepsilon_0\vert = e (V_{p +} + \vert V_{p -}\vert )/2$). The value of the (Stark) strength of the bias-driven MO shift is obtained as $γ= (4/5) (V_{p +} - \vert V_{p -} \vert) / (V_{p +} + \vert V_{p -} \vert) $. Even the low-bias conductance estimate, $ G = (3/8) (I_{p +} / V_{p +} + I_{p -} / V_{p -})$, can be a preferable alternative to that deduced from fitting the $I$-$V$ slope in situations of noisy curves at low bias. To demonstrate the reliability and the generality of this ``five-thirds'' protocol, I illustrate its wide applicability for molecular tunnel junctions fabricated using metallic and nonmetallic electrodes, molecular species possessing localized $σ$ and delocalized $π$ electrons, and} various techniques (mechanically controlled break junctions, STM break junctions, conducting probe AFM junctions, and large area junctions).
title Gaining insight into molecular tunnel junctions with a pocket calculator without I-V data fitting. Five-thirds protocol
topic Mesoscale and Nanoscale Physics
Chemical Physics
url https://arxiv.org/abs/2402.10037