Low temperature behavior of entropy and specific heat of a three dimensional quantum wire: Shannon and Tsallis entropies

Mojtaba Servatkhah, Reza Khordad (), Arezoo Firoozi, Hamid Reza Rastegar Sedehi and Ahmad Mohammadi
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Mojtaba Servatkhah: Marvdasht Branch, Islamic Azad University
Reza Khordad: College of Sciences, Yasouj University
Arezoo Firoozi: College of Sciences, Yasouj University
Hamid Reza Rastegar Sedehi: Jahrom University
Ahmad Mohammadi: Persian Gulf University

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 6, 1-7

Abstract: Abstract In this work, we first use the finite-differential time-domain (FDTD) to calculate the eigenenergies and eigenfunctions of a three dimensional (3D) cylindrical quantum wire. We assume that the inside of the wire is at zero potential. But, the outside of the wire has been chosen at different potentials as infinite and finite values. This is a true 3D procedure based on a direct implementation of the time-dependent Schrödinger equation. Then, we apply the Shannon and Tsallis entropy to obtain entropy and specific of the system. The results show that (i) the specific heat obtained by Tsallis has a peak structure. (ii) The entropy behavior for the finite and infinite confining potential has the same behavior at low temperatures. (iii) The peak value of specific heat increases with enhancing the quantum wire radius. Graphical abstract

Keywords: Mesoscopic; and; Nanoscale; Systems (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1140/epjb/e2020-10034-5

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