Compressibility, capacitance and ground state energy fluctuations in a weakly interacting quantum dot
Abstract
We study the effect of electron-electron (e-e) interactions on compressibility, capacitance and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation. As expected, the ensemble-averaged compressibility and capacitance decreases as a function of the interaction strength, while the mean inverse compressibility increases. Fluctuations of the compressibility are found to be strongly suppressed by the e-e interactions. Fluctuations of the capacitance and inverse compressibility also turn out to be much smaller than their averages. The analytical calculations are compared with the results of a numerical calculation for the inverse compressibility of a disordered tight-binding model. Excellent agreement for weak interaction values is found. Implications for the interpretation of current experimental data are discussed.
Cite
@article{arxiv.cond-mat/9610214,
title = {Compressibility, capacitance and ground state energy fluctuations in a weakly interacting quantum dot},
author = {R. Berkovits and B. L. Altshuler},
journal= {arXiv preprint arXiv:cond-mat/9610214},
year = {2009}
}
Comments
REVTeX, 23 pages, 6 figures, accepted for publication in PRB