English

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

Quantum Physics 2020-10-23 v1

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=0T=0 and the results were presented graphically.

Keywords

Cite

@article{arxiv.2010.11480,
  title  = {Application of a quantum wave impedance approach for a quantum capacitance calculation},
  author = {O. I. Hryhorchak},
  journal= {arXiv preprint arXiv:2010.11480},
  year   = {2020}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-23T19:32:39.435Z