https://oldena.lpnu.ua/handle/ntb/44896| Title: | Effect of the film thickness on the effective electron-electron interaction in a metal film |
| Other Titles: | Вплив товщини плівки на ефективну міжелектронну взаємодію в металевій плівці |
| Authors: | Костробій, П. Маркович, Б. Kostrobij, P. Markovych, B. |
| Affiliation: | Національний університет "Львівська політехніка" Lviv Polytechnic National University |
| Bibliographic description (Ukraine): | 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. |
| Bibliographic description (International): | 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. |
| Is part of: | Mathematical Modeling and Computing, 1 (5), 2018 |
| Journal/Collection: | Mathematical Modeling and Computing |
| Issue: | 1 |
| Volume: | 5 |
| Issue Date: | 15-Jan-2018 |
| Publisher: | Lviv Politechnic Publishing House |
| Place of the edition/event: | Lviv |
| UDC: | 530.145 |
| Keywords: | ефективна взаємодiя кулонiвська взаємодiя хiмiчний потенцiал металева плiвка effective interaction Coulomb interaction chemical potential metal film |
| Number of pages: | 6 |
| Page range: | 21-26 |
| Start page: | 21 |
| End page: | 26 |
| Abstract: | 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. |
| URI: | https://ena.lpnu.ua/handle/ntb/44896 |
| Copyright owner: | © 2018 Lviv Polytechnic National University CMM IAPMM NASU © 2018 Lviv Polytechnic National University CMM IAPMM NASU |
| References (Ukraine): | [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). |
| References (International): | [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). |
| Content type: | Article |
| Appears in Collections: | Mathematical Modeling And Computing. – 2018. – Vol. 5, No. 1 |
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2018v5n1_Kostrobij_P-Effect_of_the_film_thickness_21-26.pdf | 778.98 kB | Adobe PDF | View/Open | |
| 2018v5n1_Kostrobij_P-Effect_of_the_film_thickness_21-26__COVER.png | 427.74 kB | image/png | View/Open |
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