Effect of Coulomb interaction on chemical potential of metal film

被引：1

作者：

Kostrobij, P. P. ^{[1
]}

Markovych, B. M. ^{[1
]}

机构：

[1] Lviv Polytech Natl Univ, Dept Appl Math, Lvov, Ukraine

来源：

PHILOSOPHICAL MAGAZINE | 2018年 / 98卷 / 21期

关键词：

Quantum size effect; metal slab; metal film; chemical potential; jellium model; FREE-ELECTRON METALS; SURFACE-ENERGY; WORK FUNCTION; THIN-FILMS; PHYSICS; CLUSTERS; DENSITY; JELLIUM; STATES; MODEL;

D O I：

10.1080/14786435.2018.1459056

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The chemical potential of a metal film within the jellium model taking into account the Coulomb interaction between electrons is calculated. The surface potential is modelled as the infinite rectangular potential well. The behaviour of the chemical potential as a function of the film thickness is studied, the quantum size effect for this quantity is analysed. It is shown that taking into account the Coulomb interaction leads to a significant decrease of the chemical potential and to an enhancement of the quantum size effect.

引用

页码：1991 / 2002

页数：12

共 27 条

[1] A free-electron calculation for quantum size effects in the properties of metallic islands on surfaces
Atkinson, W. A.
Slavin, A. J.
[J]. AMERICAN JOURNAL OF PHYSICS, 2008, 76 (12) : 1099 - 1101
[2] Theory of the work function II. The surface double layer
Bardeen, J
[J]. PHYSICAL REVIEW, 1936, 49 (09): : 0653 - 0663
[3] THE PHYSICS OF SIMPLE METAL-CLUSTERS - SELF-CONSISTENT JELLIUM MODEL AND SEMICLASSICAL APPROACHES
BRACK, M
[J]. REVIEWS OF MODERN PHYSICS, 1993, 65 (03) : 677 - 732
[4] Photoemission studies of quantum well states in thin films
Chiang, TC
[J]. SURFACE SCIENCE REPORTS, 2000, 39 (7-8) : 181 - 235
[5] THE PHYSICS OF METAL-CLUSTERS
COHEN, ML
KNIGHT, WD
[J]. PHYSICS TODAY, 1990, 43 (12) : 42 - 50
[6] THE PHYSICS OF SIMPLE METAL-CLUSTERS - EXPERIMENTAL ASPECTS AND SIMPLE-MODELS
DEHEER, WA
[J]. REVIEWS OF MODERN PHYSICS, 1993, 65 (03) : 611 - 676
[7] Fermi energy of electrons in a thin metallic plate
Dymnikov, V. D.
[J]. PHYSICS OF THE SOLID STATE, 2011, 53 (05) : 901 - 907
[8] SIZE QUANTIZATION OF ELECTRONIC STATES IN VERY THIN PLATINUM FILMS
FISCHER, G
HOFFMANN, H
[J]. ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1980, 39 (04): : 287 - 297
[9] MEAN FREE-PATH AND DENSITY OF CONDUCTANCE ELECTRONS IN PLATINUM DETERMINED BY THE SIZE EFFECT IN EXTREMELY THIN-FILMS
FISCHER, G
HOFFMANN, H
VANCEA, J
[J]. PHYSICAL REVIEW B, 1980, 22 (12): : 6065 - 6073
[10] Quantum size effects in metal nanofilms: Comparison of an electron-gas model and density functional theory calculations
Han, Yong
Liu, Da-Jiang
[J]. PHYSICAL REVIEW B, 2009, 80 (15)

← 1 2 3 →