Bound states in two-dimensional shielded potentials

We study numerically the existence and character of bound states for positive and negative point charges shielded by the response of a two-dimensional homogeneous electron gas. The problem is related to many physical situations and has recently arisen in experiments for impurities on metal surfaces...

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Bibliographic Details
Published inarXiv.org
Main Authors Nagy, I, Puska, M J, Zabala, N
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 17.03.2006
Subjects
Electron gas
Electrons
Gas density
Metal surfaces
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Summary:We study numerically the existence and character of bound states for positive and negative point charges shielded by the response of a two-dimensional homogeneous electron gas. The problem is related to many physical situations and has recently arisen in experiments for impurities on metal surfaces with Schockley surface states. Mathematical theorems ascertain a bound state for two-dimensional circularly symmetric potentials \(V(r)\) with \(\int_{0}^{\infty}{dr r V(r)} \leq 0\). We find that a shielded potential with \(\int_{0}^{\infty}{dr r V(r)} > 0\) may also sustain a bound state. Moreover, on the same footing we study the electron-electron interactions in the two-dimensional electron gas finding a bound state with an energy minimum for a certain electron gas density.
ISSN:2331-8422