Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas
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© 2006 American Physical Society (APS). This is the accepted version of the following article: Nagy, I. & Puska, Martti J. & Zabala, N. 2006. Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas. Physical Review B. Volume 74, Issue 11. 115411/1-5. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.74.115411, which has been published in final form at http://journals.aps.org/prb/abstract/10.1103/PhysRevB.74.115411.
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2006
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en
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115411/1-5
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Physical Review B, Volume 74, Issue 11
Abstract
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 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.Description
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two-dimensional electron gas, screening, impurity potential, electron-electron interaction
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Citation
Nagy, I. & Puska, Martti J. & Zabala, N. 2006. Numerical study of bound states for point charges shielded by the response of a homogeneous two-dimensional electron gas. Physical Review B. Volume 74, Issue 11. 115411/1-5. ISSN 1550-235X (electronic). DOI: 10.1103/physrevb.74.115411.