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Dielectric function and impurity-limited mobility of semiconductor quantum wires: effects of dielectric mismatch and finite confining potential

  • Regular Article - Mesoscopic and Nanoscale Systems
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Abstract

The dielectric response function of the electron system in a cylindrical semiconductor quantum wire (QWR) embedded in a dielectric material is derived within the random phase approximation in the quantum limit when only the lowest electron subband is considered. The wire is studied in both finite and infinite confining potential models. It is shown that the dielectric mismatch strongly affects the collective excitations of the electron system and the electrostatic interaction between charged particles in the wire. The electron screening is greatly enhanced in thin QWRs with low-\(\kappa \) dielectric surroundings and weakened for high-\(\kappa \) dielectric environment. Thus, the impurity-limited electron mobility can be improved in small-radius semiconductor QWRs coated with a material having a dielectric constant smaller than that of the semiconductor, as opposed to a number of previous reports. The calculations also indicate that the model of infinite potential barrier for thin QWRs underestimates the impurity electron mobility compared to the finite barrier model and can be used in the case of QWRs with large radii.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and no experimental data.]

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Authors and Affiliations

  1. Institute of Theoretical and Applied Research, Duy Tan University, 1 Phung Chi Kien, Hanoi, 100000, Vietnam

    Nguyen Nhu Dat & Nguyen Thi Thuc Hien

  2. Faculty of Natural Sciences, Duy Tan University, 3 Quang Trung, Da Nang, 550000, Vietnam

    Nguyen Nhu Dat

  3. Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Hanoi, 100000, Vietnam

    Nguyen Nhu Dat

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  1. Nguyen Nhu Dat
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  2. Nguyen Thi Thuc Hien
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The authors contributed equally to the paper and have read and approved the final manuscript.

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Correspondence to Nguyen Nhu Dat.

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Dat, N.N., Hien, N.T.T. Dielectric function and impurity-limited mobility of semiconductor quantum wires: effects of dielectric mismatch and finite confining potential. Eur. Phys. J. B 95, 31 (2022). https://doi.org/10.1140/epjb/s10051-022-00295-z

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