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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Main Authors | , , |
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Format | Journal Article |
Language | English |
Published |
17.03.2006
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Subjects | |
Online Access | Get full text |
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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. |
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DOI: | 10.48550/arxiv.cond-mat/0603462 |