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Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas

AuthorsNagy, Istvan; Puska, M. J.; Zabala, Nerea
Issue Date2006
PublisherAmerican Physical Society
CitationPhysical Review B 74(11): 115411 (2006)
AbstractWe 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 on impurities on metal surfaces with Shockley surface states. Mathematical theorems ascertain a bound state for two-dimensional circularly symmetric potentials V(r) with ∫∞0drrV(r)⩽0. We find that a shielded potential with ∫∞0drrV(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.
Publisher version (URL)https://doi.org/10.1103/PhysRevB.74.115411
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