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

I. Nagy, M.J. Puska, N. Zabala

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)
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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.
Original languageEnglish
Article number115411
Pages (from-to)1-5
Number of pages5
JournalPhysical Review B
Volume74
Issue number11
DOIs
Publication statusPublished - 25 Sep 2006
MoE publication typeA1 Journal article-refereed

Keywords

  • electron-electron interaction
  • impurity potential
  • screening
  • two-dimensional electron gas

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