Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He

The Bose–Einstein condensation of vacancies in a three-dimensional decorated lattice is considered. The model describes possible scenario of superfluidity of solid helium, caused by the presence of zero-point vacancies in a dislocation network. It is shown that the temperature of Bose–Einstein con...

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Бібліографічні деталі
Дата:2008
Автори: Fil, D.V., Shevchenko, S.I.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/116910
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He / D.V. Fil, S.I. Shevchenko // Физика низких температур. — 2008. — Т. 34, № 4-5. — С. 440–446. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-116910
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spelling irk-123456789-1169102017-05-19T03:02:28Z Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He Fil, D.V. Shevchenko, S.I. Твердый гелий The Bose–Einstein condensation of vacancies in a three-dimensional decorated lattice is considered. The model describes possible scenario of superfluidity of solid helium, caused by the presence of zero-point vacancies in a dislocation network. It is shown that the temperature of Bose–Einstein condensation decreases under increase of the length of the network segments, and the law of decrease depends essentially on the properties of the vertexes of the network. If the vertexes correspond to barriers with a small transparency, the critical temperature is inversely as the square of the length of the segment. On the contrary, if the vertexes correspond to traps for the vacancies (it is energetically preferable for the vacancies to be localized at the vertexes), an exponential lowering of the temperature of transition takes place. The highest temperature of Bose–Einstein condensation is reached in the intermediate case of vertexes with large transparency, but in the absence of tendency of localization at them. In the latter case the critical temperature is inversely as the length of the segment. 2008 Article Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He / D.V. Fil, S.I. Shevchenko // Физика низких температур. — 2008. — Т. 34, № 4-5. — С. 440–446. — Бібліогр.: 13 назв. — англ. 0132-6414 PACS: 67.80.–s;67.10.Ba http://dspace.nbuv.gov.ua/handle/123456789/116910 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Твердый гелий
Твердый гелий
spellingShingle Твердый гелий
Твердый гелий
Fil, D.V.
Shevchenko, S.I.
Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He
Физика низких температур
description The Bose–Einstein condensation of vacancies in a three-dimensional decorated lattice is considered. The model describes possible scenario of superfluidity of solid helium, caused by the presence of zero-point vacancies in a dislocation network. It is shown that the temperature of Bose–Einstein condensation decreases under increase of the length of the network segments, and the law of decrease depends essentially on the properties of the vertexes of the network. If the vertexes correspond to barriers with a small transparency, the critical temperature is inversely as the square of the length of the segment. On the contrary, if the vertexes correspond to traps for the vacancies (it is energetically preferable for the vacancies to be localized at the vertexes), an exponential lowering of the temperature of transition takes place. The highest temperature of Bose–Einstein condensation is reached in the intermediate case of vertexes with large transparency, but in the absence of tendency of localization at them. In the latter case the critical temperature is inversely as the length of the segment.
format Article
author Fil, D.V.
Shevchenko, S.I.
author_facet Fil, D.V.
Shevchenko, S.I.
author_sort Fil, D.V.
title Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He
title_short Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He
title_full Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He
title_fullStr Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He
title_full_unstemmed Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He
title_sort bose–einstein condensation in a decorated lattice: an application to the problem of supersolid he
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2008
topic_facet Твердый гелий
url http://dspace.nbuv.gov.ua/handle/123456789/116910
citation_txt Bose–Einstein condensation in a decorated lattice: an application to the problem of supersolid He / D.V. Fil, S.I. Shevchenko // Физика низких температур. — 2008. — Т. 34, № 4-5. — С. 440–446. — Бібліогр.: 13 назв. — англ.
series Физика низких температур
work_keys_str_mv AT fildv boseeinsteincondensationinadecoratedlatticeanapplicationtotheproblemofsupersolidhe
AT shevchenkosi boseeinsteincondensationinadecoratedlatticeanapplicationtotheproblemofsupersolidhe
first_indexed 2023-10-18T20:28:34Z
last_indexed 2023-10-18T20:28:34Z
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