2004
DOI: 10.1103/physrevb.69.153410
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Quantum size effects in Pb islands on Cu(111): Electronic structure calculations

Abstract: The appearance of "magic" heights of Pb islands grown on Cu(111) is studied by self-consistent electronic structure calculations. The Cu(111) substrate is modeled with a one-dimensional pseudopotential reproducing the essential features, i.e. the band gap and the work function, of the Cu band structure in the [111] direction. Pb islands are presented as stabilized jellium overlayers. The experimental eigenenergies of the quantum well states confined in the Pb overlayer are well reproduced. The total energy os… Show more

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Cited by 38 publications
(68 citation statements)
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“…LWF should show similar quantum behavior with respect to local thickness change. Previous studies have shown the evidence of an oscillatory work function over film thickness, [74][75][76][77][78][79] however, experiment measurement of LWF of a nanostructure is essentially difficult since it requires high spatial resolution and high sensitivity in terms of the very local variation.…”
Section: Local Work Functionmentioning
confidence: 99%
“…LWF should show similar quantum behavior with respect to local thickness change. Previous studies have shown the evidence of an oscillatory work function over film thickness, [74][75][76][77][78][79] however, experiment measurement of LWF of a nanostructure is essentially difficult since it requires high spatial resolution and high sensitivity in terms of the very local variation.…”
Section: Local Work Functionmentioning
confidence: 99%
“…In practice, the jellium model allows us to simulate any Pb overlayer thickness. 13 The Pb contribution to V ps ͑z͒ stabilizing the electron gas at the density ͑n =3/4r s 3 ͒ corresponding to r s = 2.30a 0 is a constant shift V stab relative to the vacuum level restricted to the region of the positive background charge. The stabilized Pb provides a proper work function so that the spilling of the electron density into the vacuum is well described.…”
Section: A Construction Of the Pseudopotentialmentioning
confidence: 99%
“…The oscillations in energy are the origin of the "magic" islands heights. [3][4][5][6][7][8][9][10][11][12][13][14][15][16] In a previous publication 13 we successfully applied a one-dimensional ͑1D͒ pseudopotential model to gain physical insight into the magic heights of Pb islands on Cu͑111͒, by studying the energetics of that system. In fact, the beating pattern obtained has been measured in the Pb/ Si͑111͒ system.…”
Section: Introductionmentioning
confidence: 99%
“…Scanning-tunneling microscopy observation of Pb nanocrystals grown on Cu(111) indicates that in the equilibrium distribution of the island heights, some heights appear much more frequently than other ones [2]. An appearance of these 'magic" island heights on the Cu flat surface was studied by self-consistent electronic structure calculations [3].…”
Section: Introductionmentioning
confidence: 99%