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Effect of the film thickness on the effective electron-electron interaction in a metal film

Електронний науковий архів Науково-технічної бібліотеки Національного університету "Львівська політехніка"

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Title Effect of the film thickness on the effective electron-electron interaction in a metal film
Вплив товщини плівки на ефективну міжелектронну взаємодію в металевій плівці
 
Creator Костробій, П.
Маркович, Б.
Kostrobij, P.
Markovych, B.
 
Contributor Національний університет "Львівська політехніка"
Lviv Polytechnic National University
 
Subject ефективна взаємодiя
кулонiвська взаємодiя
хiмiчний потенцiал
металева плiвка
effective interaction
Coulomb interaction
chemical potential
metal film
530.145
 
Description Чисельно розраховано ефективний потенцiал мiжелектронної взаємодiї в металевiй
плiвцi, яку розглядають у межах моделi ¾желе¿. Дослiджено вплив товщини плiвки
на цей потенцiал та виявлено, що навiть незначнi змiни товщини плiвки спричинюють
суттєвi змiни поведiнки цього потенцiалу.
An effective electron-electron interaction potential in a metal film is numerically calculated
within the jellium model. The effect of the film thickness on this potential is studied and
it is found that even minor changes in the film thickness cause significant changes in the
behavior of this potential.
 
Date 2019-05-07T14:01:58Z
2019-05-07T14:01:58Z
2018-01-15
2018-01-15
 
Type Article
 
Identifier Kostrobij P. Effect of the film thickness on the effective electron-electron interaction in a metal film / P. Kostrobij, B. Markovych // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 1. — P. 21–26.
http://ena.lp.edu.ua:8080/handle/ntb/44896
Kostrobij P. Effect of the film thickness on the effective electron-electron interaction in a metal film / P. Kostrobij, B. Markovych // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 1. — P. 21–26.
 
Language en
 
Relation Mathematical Modeling and Computing, 1 (5), 2018
[1] CohenM. L., KnightW.D. The Physics of Metal Clusters. Phys. Today. 43 (12), 42–50 (1990).
[2] de HeerW.A. The physics of simple metal clusters: experimental aspects and simple models. Rev. Mod. Phys. 65 (3), 611–676 (1993).
[3] Pitarke J.M., EguiluzA.G. Jellium surface energy beyond the local-density approximation: Self-consistentfield calculations. Phys. Rev. B. 63 (4), 045116 (2001).
[4] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy. Phys. Rev. B. 92 (7), 075441 (2015).
[5] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Step potential model. Phys. Rev. B. 93 (15),155401 (2016).
[6] KostrobijP.P., MarkovychB.M. Effect of Coulomb interaction on chemical potential of metal film. Philosophical Magazine. 98 (21), 1991–2002 (2018).
[7] LangN.D., KohnW. Theory of Metal Surfaces: Charge Density and Surface Energy. Phys. Rev. B. 1(12), 4555–4568 (1970).
[8] KostrobijP., MarkovychB. Effective inter-electron interaction for metallic slab. Mathematical Modeling and Computing. 3 (1), 51–58 (2016).
[9] van Himbergen J.E., SilbeyR. Exact solution of metal surface properties in square barrier and linear one-electron potential models. Phys. Rev. B. 18 (6), 2674–2682 (1978).
[10] KostrobijP.P., MarkovychB.M. An effective potential of electron-electron interaction in semi-infinite jellium. Condensed Matter Physics. 9 (4), 747–756 (2006).
[11] MarkovychB.M., Zadvorniak I.M. Effective potential of electron-electron interaction in the semiinfinite electron gas with regard for the local-field correction. Ukr. J. Phys. 59 (11), 1107–1113 (2014).
[1] CohenM. L., KnightW.D. The Physics of Metal Clusters. Phys. Today. 43 (12), 42–50 (1990).
[2] de HeerW.A. The physics of simple metal clusters: experimental aspects and simple models. Rev. Mod. Phys. 65 (3), 611–676 (1993).
[3] Pitarke J.M., EguiluzA.G. Jellium surface energy beyond the local-density approximation: Self-consistentfield calculations. Phys. Rev. B. 63 (4), 045116 (2001).
[4] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy. Phys. Rev. B. 92 (7), 075441 (2015).
[5] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Step potential model. Phys. Rev. B. 93 (15),155401 (2016).
[6] KostrobijP.P., MarkovychB.M. Effect of Coulomb interaction on chemical potential of metal film. Philosophical Magazine. 98 (21), 1991–2002 (2018).
[7] LangN.D., KohnW. Theory of Metal Surfaces: Charge Density and Surface Energy. Phys. Rev. B. 1(12), 4555–4568 (1970).
[8] KostrobijP., MarkovychB. Effective inter-electron interaction for metallic slab. Mathematical Modeling and Computing. 3 (1), 51–58 (2016).
[9] van Himbergen J.E., SilbeyR. Exact solution of metal surface properties in square barrier and linear one-electron potential models. Phys. Rev. B. 18 (6), 2674–2682 (1978).
[10] KostrobijP.P., MarkovychB.M. An effective potential of electron-electron interaction in semi-infinite jellium. Condensed Matter Physics. 9 (4), 747–756 (2006).
[11] MarkovychB.M., Zadvorniak I.M. Effective potential of electron-electron interaction in the semiinfinite electron gas with regard for the local-field correction. Ukr. J. Phys. 59 (11), 1107–1113 (2014).
 
Rights © 2018 Lviv Polytechnic National University CMM IAPMM NASU
© 2018 Lviv Polytechnic National University CMM IAPMM NASU
 
Format 21-26
6
application/pdf
image/png
 
Coverage Lviv
 
Publisher Lviv Politechnic Publishing House