Bound states in two-dimensional shielded potentials
| dc.creator | Nagy, I. | |
| dc.creator | Puska, M. J. | |
| dc.creator | Zabala, N. | |
| dc.date | 2006-03-17 | |
| dc.date.accessioned | 2026-07-07T07:04:47Z | |
| dc.date.available | 2026-07-07T07:04:47Z | |
| dc.description | 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. | |
| dc.description | Revtex-file and 8 eps figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0603462 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0603462 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109448 | |
| dc.subject | Materials Science | |
| dc.title | Bound states in two-dimensional shielded potentials | |
| dc.type | text |