Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain

We study the AB2 "dimmer-connector" chain within a generalized Hubbard model, which contains site-dependent parameters, and different chemical potentials for A and B sites. Considering one electron per atom, we carry out exact calculations for finite clusters, and derive some asymptotic re...

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Бібліографічні деталі
Дата:2010
Автори: Rössler, J., Mainemer, D.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2010
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/32048
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain / J. Rössler, D. Mainemer // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13704: 1-8. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-320482012-04-07T12:22:54Z Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain Rössler, J. Mainemer, D. We study the AB2 "dimmer-connector" chain within a generalized Hubbard model, which contains site-dependent parameters, and different chemical potentials for A and B sites. Considering one electron per atom, we carry out exact calculations for finite clusters, and derive some asymptotic results, valid for macroscopic chains. We take a non-vanishing intra-dimmer electron hopping, thus departing from the condition of a bipartite lattice. In spite of that, the system persists ferrimagnetic in some region of the parameter space, thus generalizing a theorem of Lieb for bipartite lattices. A somewhat surprising result is that the ferrimagnetic phase is possible, even for a very large chemical potential jump between A and B sites. In another respect, we show that a previously reported macroscopic (2N) degenerancy of the AB2 Heisenberg chain ground state (GS) is fully removed on going to the (more fundamental) Hubbard model, yielding a non-magnetic GS. 2010 Article Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain / J. Rössler, D. Mainemer // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13704: 1-8. — Бібліогр.: 15 назв. — англ. 1607-324X PACS: 73.90.+f, 75.10.Lp, 75.10--75.25 http://dspace.nbuv.gov.ua/handle/123456789/32048 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We study the AB2 "dimmer-connector" chain within a generalized Hubbard model, which contains site-dependent parameters, and different chemical potentials for A and B sites. Considering one electron per atom, we carry out exact calculations for finite clusters, and derive some asymptotic results, valid for macroscopic chains. We take a non-vanishing intra-dimmer electron hopping, thus departing from the condition of a bipartite lattice. In spite of that, the system persists ferrimagnetic in some region of the parameter space, thus generalizing a theorem of Lieb for bipartite lattices. A somewhat surprising result is that the ferrimagnetic phase is possible, even for a very large chemical potential jump between A and B sites. In another respect, we show that a previously reported macroscopic (2N) degenerancy of the AB2 Heisenberg chain ground state (GS) is fully removed on going to the (more fundamental) Hubbard model, yielding a non-magnetic GS.
format Article
author Rössler, J.
Mainemer, D.
spellingShingle Rössler, J.
Mainemer, D.
Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
Condensed Matter Physics
author_facet Rössler, J.
Mainemer, D.
author_sort Rössler, J.
title Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_short Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_full Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_fullStr Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_full_unstemmed Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_sort ferrimagnetism in the hubbard, dimmer-connector frustrated chain
publisher Інститут фізики конденсованих систем НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/32048
citation_txt Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain / J. Rössler, D. Mainemer // Condensed Matter Physics. — 2010. — Т. 13, № 1. — С. 13704: 1-8. — Бібліогр.: 15 назв. — англ.
series Condensed Matter Physics
work_keys_str_mv AT rosslerj ferrimagnetisminthehubbarddimmerconnectorfrustratedchain
AT mainemerd ferrimagnetisminthehubbarddimmerconnectorfrustratedchain
first_indexed 2023-10-18T17:33:51Z
last_indexed 2023-10-18T17:33:51Z
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