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Calculation of parallel Peltier coefficient in rectangular quantum wires under the influence of confined optical phonons and electromagnetic waves using quantum kinetic equation

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Abstract

The influence of confined optical phonons (confined OP) and electromagnetic waves on the Peltier effects in rectangular quantum wires (RQW) in a parallel magnetic field is investigated. Theoretical results for the parallel Peltier coefficient (PC) are determined using the quantum kinetic equation method. It is defined as a function of the external magnetic field, amplitude, and frequency of the electromagnetic wave, temperature, and size of the RQW, especially quantum numbers \(m_1\), and \(m_2\) characterizing the confined OP. The theoretical results are numerically appraised and graphed for the GaAs RQW model. It shows that confined OP not only increases the parallel PC but also expands the resonance position compared to the unconfined OP case. Besides, the parallel PC increases significantly as the temperature rises and the confined OP is the main cause of the increase in the parallel PC at low temperatures. In addition, the resonance peaks of the parallel PC are shifted to the region of the larger magnetic field. When the width of the RQW is less than 20 nm, the parallel PC increases significantly. When the width of the RQW rises to infinity, the results of bulk semiconductors could be obtained.

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Acknowledgements

Tang Thi Dien was funded by Vingroup JSC and supported by the Master, Ph.D. Scholarship Programe of Vingroup Innovation Foundation (VINIF), Institute of Big Data, code VINIF.2021.Ths.92.

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Authors and Affiliations

  1. Department of Theoretical Physics, Faculty of Physics, University of Science, Vietnam National University, Hanoi, Vietnam, 334 Nguyen Trai Street, Thanh Xuan District, Hanoi, Vietnam

    Tang Thi Dien, Cao Thi Vi Ba, Nguyen Quang Bau & Nguyen Thi Nguyet Anh

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  1. Tang Thi Dien
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  2. Cao Thi Vi Ba
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  3. Nguyen Quang Bau
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  4. Nguyen Thi Nguyet Anh
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Correspondence to Cao Thi Vi Ba or Nguyen Quang Bau.

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Dien, T.T., Ba, C.T.V., Bau, N.Q. et al. Calculation of parallel Peltier coefficient in rectangular quantum wires under the influence of confined optical phonons and electromagnetic waves using quantum kinetic equation. J. Korean Phys. Soc. 82, 1187–1195 (2023). https://doi.org/10.1007/s40042-023-00781-2

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  • DOI: https://doi.org/10.1007/s40042-023-00781-2

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