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Thermodynamic Properties of Electron Gas in Semiconductor Nanowires

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Abstract

Expressions are given for the concentration, density of thermodynamic states, entropy, and heat capacity of the electron gas in narrow-gap InAs nanowires, and it is shown that they are of an oscillatory nature. At low temperatures, the oscillations manifest themselves quite distinctly, and they are smoothed out with increasing temperature. Graphs of the dependence of the thermodynamic quantities of the electron gas on the chemical potential for electrons with a nonparabolic zone are steeper than those with a parabolic zone. It has been established that an increase in the nonparabolicity of the energy bands will lead to a weakening of the oscillations of the thermodynamic quantities of the electron gas. The temperature dependences of the concentration, density of thermodynamic states of entropy and heat capacity of the electron gas in InAs nanowires are found when the chemical potential \(\mu\) and energy levels \(E_{(N,L)}\) satisfy the following relation \(\mu <E_{(N,L)}\), \(\mu =E_{(N,L)}\), and \(\mu >E_{(N,L)}\). It has been established that the concentration, density of thermodynamic states, entropy and heat capacity of the electron gas at resonance points (when \(\mu =E_{(N,L)}\)) do not depend on the energy level \(E_{(N,L)}\). It is shown that the entropy and density of thermodynamic states reach their peak values at resonance points, while the heat capacity is around the resonance point

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The work was performed on the basis of the Fundamental Research Grant Programs FZ-20200929243 “The Effect of Hot Electrons and Phonons in a Strong Electromagnetic Field on the Characteristics of Semiconductor Solar Photovoltaic Elements and Nanostructures”

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Author notes

  1. Gafur Gulyamov and Doston Urinboev have contributed equally to this work.

Authors and Affiliations

  1. Physical-Technical Institute, Uzbek Academy of Sciences, Chingiz Aytmatov, 100084, Tashkent, Tashkent, Uzbekistan

    Abror Davlatov

  2. Namangan Engineering Construction Institute, Islam Karimov, 160103, Namangan, Namangan, Uzbekistan

    Gafur Gulyamov & Doston Urinboev

  3. Namangan State University, 160107, Uychi, Namangan, Namangan, Uzbekistan

    Abror Davlatov

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  1. Abror Davlatov
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Davlatov, A., Gulyamov, G. & Urinboev, D. Thermodynamic Properties of Electron Gas in Semiconductor Nanowires. J Low Temp Phys 212, 36–53 (2023). https://doi.org/10.1007/s10909-023-02974-2

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