Application of a quantum wave impedance approach for a quantum capacitance calculation

• URL: http://arxiv.org/abs/2010.11480v1
• Date: Thu, 22 Oct 2020 06:56:13 GMT
• Title: Application of a quantum wave impedance approach for a quantum capacitance calculation
• Authors: O. I. Hryhorchak
• Abstract summary: The application of this method was illustated on four different forms of potential wells: infinite and finit rectangular well, a finit rectangular double well and a parabolic double well. It was shown how a quantum capacitance of these wells depends on its parametres.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A method for a calculation of quantum capacitance for a two-dimesional electron gas (2DEG) in potential wells of complicated geometry on the base of a quantum wave impedance technique was proposed. The application of this method was illustated on four different forms of potential wells: infinite and finit rectangular well, a finit rectangular double well and a parabolic double well. It was shown how a quantum capacitance of these wells depends on its parametres. Numerical calculations of a quantum capacitance for mentioned potential wells were made at temperature $T=0$ and the results were presented graphically.

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