Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-02-18
Phys. Rev. B 78, 085305 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
13 pages, 10 figures
Scientific paper
10.1103/PhysRevB.78.085305
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 kL (where k is the Fermi wave number and L 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 strongly non-Gaussian distributions, despite the Gaussian random nature of the single-electron wave functions.
Alhassid Yoram
Kaplan Leah
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