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

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dc.citation.epage26
dc.citation.issue1
dc.citation.journalTitleMathematical Modeling and Computing
dc.citation.spage21
dc.citation.volume5
dc.contributor.affiliationНаціональний університет "Львівська політехніка"
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorКостробій, П.
dc.contributor.authorМаркович, Б.
dc.contributor.authorKostrobij, P.
dc.contributor.authorMarkovych, B.
dc.coverage.placenameLviv
dc.date.accessioned2019-05-07T14:01:58Z
dc.date.available2019-05-07T14:01:58Z
dc.date.created2018-01-15
dc.date.issued2018-01-15
dc.description.abstractЧисельно 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.
dc.description.abstractAn 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.
dc.format.extent21-26
dc.format.pages6
dc.identifier.citationKostrobij 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.
dc.identifier.citationenKostrobij 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.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/44896
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (5), 2018
dc.relation.references[1] CohenM. L., KnightW.D. The Physics of Metal Clusters. Phys. Today. 43 (12), 42–50 (1990).
dc.relation.references[2] de HeerW.A. The physics of simple metal clusters: experimental aspects and simple models. Rev. Mod. Phys. 65 (3), 611–676 (1993).
dc.relation.references[3] Pitarke J.M., EguiluzA.G. Jellium surface energy beyond the local-density approximation: Self-consistentfield calculations. Phys. Rev. B. 63 (4), 045116 (2001).
dc.relation.references[4] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy. Phys. Rev. B. 92 (7), 075441 (2015).
dc.relation.references[5] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Step potential model. Phys. Rev. B. 93 (15),155401 (2016).
dc.relation.references[6] KostrobijP.P., MarkovychB.M. Effect of Coulomb interaction on chemical potential of metal film. Philosophical Magazine. 98 (21), 1991–2002 (2018).
dc.relation.references[7] LangN.D., KohnW. Theory of Metal Surfaces: Charge Density and Surface Energy. Phys. Rev. B. 1(12), 4555–4568 (1970).
dc.relation.references[8] KostrobijP., MarkovychB. Effective inter-electron interaction for metallic slab. Mathematical Modeling and Computing. 3 (1), 51–58 (2016).
dc.relation.references[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).
dc.relation.references[10] KostrobijP.P., MarkovychB.M. An effective potential of electron-electron interaction in semi-infinite jellium. Condensed Matter Physics. 9 (4), 747–756 (2006).
dc.relation.references[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).
dc.relation.referencesen[1] CohenM. L., KnightW.D. The Physics of Metal Clusters. Phys. Today. 43 (12), 42–50 (1990).
dc.relation.referencesen[2] de HeerW.A. The physics of simple metal clusters: experimental aspects and simple models. Rev. Mod. Phys. 65 (3), 611–676 (1993).
dc.relation.referencesen[3] Pitarke J.M., EguiluzA.G. Jellium surface energy beyond the local-density approximation: Self-consistentfield calculations. Phys. Rev. B. 63 (4), 045116 (2001).
dc.relation.referencesen[4] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy. Phys. Rev. B. 92 (7), 075441 (2015).
dc.relation.referencesen[5] KostrobijP.P., MarkovychB.M. Semi-infinite jellium: Step potential model. Phys. Rev. B. 93 (15),155401 (2016).
dc.relation.referencesen[6] KostrobijP.P., MarkovychB.M. Effect of Coulomb interaction on chemical potential of metal film. Philosophical Magazine. 98 (21), 1991–2002 (2018).
dc.relation.referencesen[7] LangN.D., KohnW. Theory of Metal Surfaces: Charge Density and Surface Energy. Phys. Rev. B. 1(12), 4555–4568 (1970).
dc.relation.referencesen[8] KostrobijP., MarkovychB. Effective inter-electron interaction for metallic slab. Mathematical Modeling and Computing. 3 (1), 51–58 (2016).
dc.relation.referencesen[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).
dc.relation.referencesen[10] KostrobijP.P., MarkovychB.M. An effective potential of electron-electron interaction in semi-infinite jellium. Condensed Matter Physics. 9 (4), 747–756 (2006).
dc.relation.referencesen[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).
dc.rights.holder© 2018 Lviv Polytechnic National University CMM IAPMM NASU
dc.rights.holder© 2018 Lviv Polytechnic National University CMM IAPMM NASU
dc.subjectефективна взаємодiя
dc.subjectкулонiвська взаємодiя
dc.subjectхiмiчний потенцiал
dc.subjectметалева плiвка
dc.subjecteffective interaction
dc.subjectCoulomb interaction
dc.subjectchemical potential
dc.subjectmetal film
dc.subject.udc530.145
dc.titleEffect of the film thickness on the effective electron-electron interaction in a metal film
dc.title.alternativeВплив товщини плівки на ефективну міжелектронну взаємодію в металевій плівці
dc.typeArticle

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Mathematical Modeling And Computing. – 2018. – Vol. 5, No. 1