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Self-consistent density functional calculation of the image potential at a metal surface

J Jung1, J E Alvarellos1, E Chacón2 and P García-González1

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It is well known that the exchange–correlation (XC) potential at a metal surface has an image-like asymptotic behaviour given by −1/4(zz0), where z is the coordinate perpendicular to the surface. Using a suitable fully non-local functional prescription, we evaluate self-consistently the XC potential with the correct image behaviour for simple jellium surfaces in the range of metallic densities. This allows a proper comparison between the corresponding image-plane position, z0, and other related quantities such as the centroid of an induced charge by an external perturbation. As a by-product, we assess the routinely used local density approximation when evaluating electron density profiles, work functions, and surface energies by focusing on the XC effects included in the fully non-local description.


PACS

71.15.Mb Density functional theory, local density approximation, gradient and other corrections

73.20.-r Electron states at surfaces and interfaces

73.30.+y Surface double layers, Schottky barriers, and work functions

Subjects

Condensed matter: electrical, magnetic and optical

Surfaces, interfaces and thin films

Dates

Issue 26 (4 July 2007)

Received 2 March 2007, in final form 13 May 2007

Published 15 June 2007



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