English

Quantum capacitance: a microscopic derivation

Mesoscale and Nanoscale Physics 2015-05-19 v2

Abstract

We start from microscopic approach to many body physics and show the analytical steps and approximations required to arrive at the concept of quantum capacitance. These approximations are valid only in the semi-classical limit and the quantum capacitance in that case is determined by Lindhard function. The effective capacitance is the geometrical capacitance and the quantum capacitance in series, and this too is established starting from a microscopic theory.

Keywords

Cite

@article{arxiv.1006.1451,
  title  = {Quantum capacitance: a microscopic derivation},
  author = {Sreemoyee Mukherjee and M. Manninen and P. Singha Deo},
  journal= {arXiv preprint arXiv:1006.1451},
  year   = {2015}
}

Comments

7 figs

R2 v1 2026-06-21T15:33:12.329Z