Surface Screening Charge and Effective Charge
S.Clarke, J.E.Inglesfield, M.Nekovee, P.K. de Boer

TL;DR
This paper investigates how surface atoms on Ag(001) respond to external electric fields by analyzing charge screening and effective charge, revealing how Xe atoms are influenced and how charge sign changes at high fields.
Contribution
It introduces a method to determine surface screening and effective charge from potential shifts, applying it to Xe on Ag(001) under various electric fields.
Findings
Xe has a negative effective charge of -0.093 e at low fields
Charge sign reverses at 2.3 V/Å, leading to outward forces at higher fields
Results relate to field desorption and the Eigler switch phenomena
Abstract
The charge on an atom at a metallic surface in an electric field is defined as the field-derivative of the force on the atom, and this is consistent with definitions of effective charge and screening charge. This charge can be found from the shift in the potential outside the surface when the atoms are moved. This is used to study forces and screening on surface atoms of Ag(001) c -- Xe as a function of external field. It is found that at low positive (outward) fields, the Xe with a negative effective charge of -0.093 is pushed into the surface. At a field of 2.3 V \AA the charge changes sign, and for fields greater than 4.1 V \AA the Xe experiences an outward force. Field desorption and the Eigler switch are discussed in terms of these results.
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