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Generalized n-dimensional field emission

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Abstract

We report a theoretical investigation of field emission from metals in n-dimension. The field-emission current density is derived as a function of the electric field in one to three dimensions. Then, the generalized field-emission current density is calculated for arbitrary n dimensions, is shown as a function of electric field for different work functions of one-, two- and three-dimensional materials, and is expressed as a function of dimension for different work functions. These analyses reveal that the current density increases as the spatial dimension increases in the conductors and work function decreases. Our study on the generalized current density can be applied to material systems with high dimensions or fractional dimensions.

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Acknowledgements

This work was supported by the National Research Foundation (NRF-2020R1I1A1A01057799) funded by the Ministry of Education, Republic of Korea and by the R&D Convergence Program of National Research Council of Science & Technology, Republic of Korea (CAP-16-10-KIMS).

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Authors and Affiliations

  1. Rare Isotope Science Project, Institute for Basic Science, Daejeon, 34000, Korea

    Heetae Kim

  2. Division of Energy and Optical Technology Convergence, Cheongju University, Cheongju-si, Chungcheongbuk-do, 28503, Korea

    Jong-Kwon Lee

  3. Department of Applied Physics, Kyung Hee University, Yong-In, 17104, Korea

    Chang-Soo Park

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  1. Heetae Kim
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  2. Jong-Kwon Lee
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  3. Chang-Soo Park
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Correspondence to Heetae Kim or Chang-Soo Park.

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Kim, H., Lee, JK. & Park, CS. Generalized n-dimensional field emission. J. Korean Phys. Soc. 79, 363–368 (2021). https://doi.org/10.1007/s40042-021-00211-1

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