Abstract
We study matrix element fluctuations of the two-body screened Coulomb interaction and of the one-body surface-charge potential in ballistic quantum dots. For chaotic dots, we use a normalized random wave model to obtain analytic expansions for matrix element variances and covariances in the limit of large (where is the Fermi wave number and is the linear size of the dot). These leading-order analytical results are compared with exact numerical results. Both two-body and one-body matrix elements are shown to follow non-Gaussian distributions, in spite of the Gaussian random nature of the single-electron wave functions.
3 More- Received 17 February 2008
DOI:https://doi.org/10.1103/PhysRevB.78.085305
©2008 American Physical Society