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A unified realization of the modified Einstein equation approach in organic semiconductors: theoretical interpretation and experimental validation

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Abstract

An analytical approach has been introduced to determine the applicability of Einstein equation in organic semiconductors. In our proposed theoretical work, modified Einstein equation is implemented directly in Mott–Gurney equation to obtain permittivity of the semiconductor. Our proposed theoretical outcome has also been validated by introducing it in the current–voltage relation plot obtained in GPVDM simulation. Simulation result shows high consistency with our proposed theoretical work. Experiments have also been performed on turmeric dye-based natural organic semiconductor at 303–338 K temperature range on the basis of proposed theoretical aspect. High consistency has been obtained from the outcome of performed experiments. Material permittivity-related other parameters have been estimated from repeated experiment at aforementioned temperature range which indicates the reliability of our proposed applicability of modified Einstein equation and helps to give a fruitful explanation of current conduction into organic semiconductors.

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Acknowledgements

Authors are thankful to School of Energy Studies, Jadavpur University, for their support to perform the experiments, and they are grateful to University Grants Commission, India.

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Authors and Affiliations

  1. Department of Physics, Jadavpur University, Kolkata, 700032, India

    Kushal Chakraborty

  2. School of Energy Studies, Jadavpur University, Kolkata, 700032, India

    Ratan Mandal & Aloke Das

  3. Department of Mechanical Engineering, Jadavpur University, Kolkata, 700032, India

    Dulal K Mandal

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  1. Kushal Chakraborty
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  2. Ratan Mandal
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  3. Aloke Das
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  4. Dulal K Mandal
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Correspondence to Kushal Chakraborty.

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Chakraborty, K., Mandal, R., Das, A. et al. A unified realization of the modified Einstein equation approach in organic semiconductors: theoretical interpretation and experimental validation. Indian J Phys 97, 3033–3040 (2023). https://doi.org/10.1007/s12648-023-02645-8

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