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Theoretical Bounds on Electron Energy Filtering in Disordered Nanomaterials

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Author(s)
Dodin, Amro
•
Aull, Brian F.
•
Kunz, Roderick R
•
Willard, Adam P.
Date Issued
October 2019
Journal
Nano letters
Publisher
American Chemical Society (ACS)
Citation
Dodin, Amro et al. “Theoretical Bounds on Electron Energy Filtering in Disordered Nanomaterials.” Nano letters 19 (2019): 8441-8446.
Version
Original manuscript
Abstract
Electron energy filters have recently been proposed as a method of reducing the effects of thermal broadening in device and sensing applications, enabling substantial improvements in their room temperature performance. Nanostructured materials can act as electron energy filters by funneling thermally broadened electrons through discrete energy levels. In this study, we develop a theoretical model of the electron filtering properties of nanostructured materials that explicitly includes the effects of thermal broadening and size heterogeneity on the heterogeneity of nanostructure energy levels. We find that under certain conditions quantum dot solids can perform as effective electronic energy filters. We identify a material-specific length scale parameter, Lcrit, that specifies the maximum mean quantum dot size that can yield effective energy filtering. Moreover, we show that energy filtering materials composed of quantum dots with size near Lcrit are maximally robust to heterogeneity in quantum dot size, tolerating variations ∼10% of the mean size. The length scale Lcrit can be estimated directly from the widely tabulated density of states effective mass and shows that semiconductors with light conduction band electrons, such as III-V type materials InSb and GaAs, are the most forgiving for energy filtering applications. Taken together, these results provide a practical set of quantitative design principles for semiconductor electron filters.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
Lincoln Laboratory
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
https://hdl.handle.net/1721.1/125594
DOI of Published Version
https://dx.doi.org/10.1021/acs.nanolett.9b02701
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