2006/03/17 by I. Nagy, Nagy, I., M. J. Puska +3
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Surface and Thin Film Phenomena
paper · pdf · doi:10.48550/arxiv.cond-mat/0603462
openalex publication_date 2006/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ∫0∞dr r V(r) ≤ 0. We find that a shielded potential with ∫0∞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.