https://oldena.lpnu.ua/handle/ntb/46140| Title: | Investigation of effective potential of electron-ion interaction in semibounded metal |
| Other Titles: | Дослідження ефективного потенціалу електрон-іонної взаємодії в напівобмеженому металі |
| Authors: | Маркович, Б. Markovych, B. |
| Affiliation: | Національний університет “Львівська політехніка” Lviv Polytechnic National University |
| Bibliographic description (Ukraine): | Markovych B. Investigation of effective potential of electron-ion interaction in semibounded metal / B. Markovych // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 2. — P. 184–192. |
| Bibliographic description (International): | Markovych B. Investigation of effective potential of electron-ion interaction in semibounded metal / B. Markovych // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 2. — P. 184–192. |
| Is part of: | Mathematical Modeling and Computing, 2 (5), 2018 |
| Issue: | 2 |
| Issue Date: | 26-Feb-2018 |
| Publisher: | Lviv Politechnic Publishing House |
| Place of the edition/event: | Львів Lviv |
| UDC: | 530.145 |
| Keywords: | ефективна електрон–іонна взаємодія напівобмежений метал поправка на локальне поле effective electron–ion interaction semibounded metal local field correction |
| Number of pages: | 9 |
| Page range: | 184-192 |
| Start page: | 184 |
| End page: | 192 |
| Abstract: | Подано чисельні розрахунки ефективного потенціалу електрон–іоної взаємодії в напівобмеженому металі
(калії) з урахуванням поправки на локальне поле у формі Хаббарда з використанням локального псевдопотенціалу Красько–Гурського.
Досліджено вплив поверхні поділу “метал–вакуум” та апроксимації для поправки на локальне
поле на поведінку ефективного потенціалу електрон–іонної взаємодії. The effective potential of the electron–ion interaction in a semibounded metal (potassium) is calculated numerically, taking into account the local field correction in the Hubbard form, using the local pseudopotential of Krasko–Gursky. The influence of the metal/vacuum interface and the approximation for the local field correction on the behavior of the effective potential of the electron–ion interaction is investigated. |
| URI: | https://ena.lpnu.ua/handle/ntb/46140 |
| Copyright owner: | CMM IAPMM NASU © 2018 Lviv Polytechnic National University |
| References (Ukraine): | 1. Vavrukh M. V., Kostrobij P. P., Markovych B. M. Bazisnij pidhid v teoriї bagatoelektronnih sistem. Rastr7, Lviv (2017), (in Ukrainian). 2. Kostrobij P. P., Markovych B. M. Semi-infinite metal: perturbative treatment based on semi-infinite jellium. Condensed Matter Physics. 11 (4), 641–651 (2008). 3. Kaim S. D. O mnogochastichnom podhode v teorii metallicheskoj poverhnovsti. Ukr. Fiz. Zhurn. 26 (8), 1351–1357 (1981), (in Russian). 4. Kostrobij P. P., Markovych B. M. An effective potential of electron-electron interaction in semi-infinite jellium. Condensed Matter Physics. 9 (4), 747–756 (2006). 5. Kostrobij P. P., Markovych B. M. Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy. Phys. Rev. B. 92 (7), 075441 (2015). 6. Kostrobij P. P., Markovych B. M. Semi-infinite jellium: Step potential model. Phys. Rev. B. 93 (15), 155401 (2016). 7. Yakibchuk P. M. Calculation of the thermodynamical potential for the electron-ionic model of metal with nonlocal interactions. Condensed Matter Physics. 10, 179–187 (1997). 8. Yakibchuk P. M., Shvec V. T. Modelni metodi u fizici metaliv. Lviv. nac. un-t im. Ivana Franka, L’viv (2012), (in Ukrainian). 9. Gurskij Z. A., Krasko G. L. Modelnyj psevdopotencial i nekotorye atomnye svojstva shhelochnyh i shhelochnozemelnyh metallov. Doklady Akademii nauk SSSR. 197 (4), 810–813 (1971), (in Russian). 10. Krasko G. L., Gurskij Z. A. Ob odnom modelnom psevdopotenciale. Pisma v JETF. 9, 596–601 (1969). 11. Gradshtejn I. S., Ryzhik I. M. Tablicy integralov, summ, rjadov i proizvedenij. Nauka, Moscow (1971), (in Russian). 12. Kostrobij P. P., Markovych B. M. Semi-infinite metal: thermodynamic potential and effective interionic pair potentials. AIP Conference Proceedings. 1198, 78–86 (2009). 13. Mahan G. D. Many-particle physics. Plenum Press, New York (1990). 14. Gorobchenko V. D., Maksimov E. G. The dielectric constant of an interacting electron gas. Sov. Phys. Usp. 23 (1), 35–58 (1980). 15 Markovych B. 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. Vavrukh M. V., Kostrobij P. P., Markovych B. M. Bazisnij pidhid v teorii bagatoelektronnih sistem. Rastr7, Lviv (2017), (in Ukrainian). 2. Kostrobij P. P., Markovych B. M. Semi-infinite metal: perturbative treatment based on semi-infinite jellium. Condensed Matter Physics. 11 (4), 641–651 (2008). 3. Kaim S. D. O mnogochastichnom podhode v teorii metallicheskoj poverhnovsti. Ukr. Fiz. Zhurn. 26 (8), 1351–1357 (1981), (in Russian). 4. Kostrobij P. P., Markovych B. M. An effective potential of electron-electron interaction in semi-infinite jellium. Condensed Matter Physics. 9 (4), 747–756 (2006). 5. Kostrobij P. P., Markovych B. M. Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy. Phys. Rev. B. 92 (7), 075441 (2015). 6. Kostrobij P. P., Markovych B. M. Semi-infinite jellium: Step potential model. Phys. Rev. B. 93 (15), 155401 (2016). 7. Yakibchuk P. M. Calculation of the thermodynamical potential for the electron-ionic model of metal with nonlocal interactions. Condensed Matter Physics. 10, 179–187 (1997). 8. Yakibchuk P. M., Shvec V. T. Modelni metodi u fizici metaliv. Lviv. nac. un-t im. Ivana Franka, L’viv (2012), (in Ukrainian). 9. Gurskij Z. A., Krasko G. L. Modelnyj psevdopotencial i nekotorye atomnye svojstva shhelochnyh i shhelochnozemelnyh metallov. Doklady Akademii nauk SSSR. 197 (4), 810–813 (1971), (in Russian). 10. Krasko G. L., Gurskij Z. A. Ob odnom modelnom psevdopotenciale. Pisma v JETF. 9, 596–601 (1969). 11. Gradshtejn I. S., Ryzhik I. M. Tablicy integralov, summ, rjadov i proizvedenij. Nauka, Moscow (1971), (in Russian). 12. Kostrobij P. P., Markovych B. M. Semi-infinite metal: thermodynamic potential and effective interionic pair potentials. AIP Conference Proceedings. 1198, 78–86 (2009). 13. Mahan G. D. Many-particle physics. Plenum Press, New York (1990). 14. Gorobchenko V. D., Maksimov E. G. The dielectric constant of an interacting electron gas. Sov. Phys. Usp. 23 (1), 35–58 (1980). 15 Markovych B. 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. 2 |
| File | Description | Size | Format | |
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| 2018v5n2_Markovych_B-Investigation_of_effective_184-192.pdf | 1.15 MB | Adobe PDF | View/Open | |
| 2018v5n2_Markovych_B-Investigation_of_effective_184-192__COVER.png | 408.34 kB | image/png | View/Open |
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