2010/06/30 by Sreemoyee Mukherjee, M. Manninen, P. Singha Deo
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Capacitance #Differential capacitance #Limit (mathematics) #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Physics #Quantum #Quantum and electron transport phenomena #Quantum capacitance #Quantum mechanics #Series (stratigraphy) #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.physe.2011.07.005
7 figs
arxiv created 2011/05/23 · openalex publication_date 2011/07/26 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.