Remarks on Thermodynamic Properties of a Double Ring-Shaped Quantum Dot at Low and High Temperatures

Author(s)

Vicente, Andres G. Jiron ^[1] ; Castro, Luis B. ^{[1, 2]} ; Obispo, Angel E. ^[1] ; Meza, Luis E. Arroyo ^[1]

Affiliation

^[1] Univ Fed Maranhao, Dept Fis, Campus Univ Bacanga, BR-65080805 Sao Luis, MA - Brazil

^[2] Univ Estadual Paulista UNESP, Dept Fis, Campus Guaratingueta, BR-12516410 Guaratingueta, SP - Brazil

• Document type: Journal article
• Source: JOURNAL OF LOW TEMPERATURE PHYSICS; v. 202, n. 3-4, p. 372-381, FEB 2021.
• Web of Science Citations: 0

Abstract

In a recent paper published in this Journal, Khordad and Sedehi (J Low Temp Phys 190(3):200, 2018) have studied the thermodynamic properties of a GaAs double ring-shaped quantum dot under external magnetic and electric fields. In that meritorious research the energy of the system was obtained by solving the Schrodinger equation. The radial equation was mapped into a confluent hypergeometric differential equation and the differential equation associated to z coordinate was mapped into a biconfluent Heun differential equation. In this paper, it is pointed out a misleading treatment on the solution of the biconfluent Heun equation. It is shown that the energy E-z can not be labeled with n(z) and this fact jeopardizes the results of this system. We calculate the partition function with the correct energy spectrum and recalculate the specific heat and entropy as a function of low and high temperatures. (AU)

• FAPESP's process: 18/20577-4 - Studies on fermions and bosons in low dimensions and their applications in graphene and topological insulators
• Grantee: Antonio Soares de Castro
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil