6533b874fe1ef96bd12d612f

RESEARCH PRODUCT

Quantum capacitance: a microscopic derivation

M. ManninenSreemoyee MukherjeeP. Singha Deo

subject

PhysicsSeries (mathematics)ta114Condensed Matter - Mesoscale and Nanoscale PhysicsFOS: Physical sciencesFunction (mathematics)Condensed Matter PhysicsCondensed Matter::Mesoscopic Systems and Quantum Hall EffectCapacitanceAtomic and Molecular Physics and OpticsMany bodyElectronic Optical and Magnetic MaterialsQuantum capacitanceClassical mechanicsQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Limit (mathematics)Microscopic theoryQuantum dissipation

description

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.

yearjournalcountryeditionlanguage
2010-06-08
10.1016/j.physe.2011.07.005http://arxiv.org/abs/1006.1451