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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Veröffentlicht in:Condensed Matter Physics
Datum:2010
Hauptverfasser: Rössler, J., Mainemer, D.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут фізики конденсованих систем НАН України 2010
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/32048
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Zitieren: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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author Rössler, J.
Mainemer, D.
author_facet Rössler, J.
Mainemer, D.
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.
collection DSpace DC
container_title Condensed Matter Physics
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.
first_indexed 2025-12-07T17:19:11Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1607-324X
language English
last_indexed 2025-12-07T17:19:11Z
publishDate 2010
publisher Інститут фізики конденсованих систем НАН України
record_format dspace
spelling Rössler, J.
Mainemer, D.
2012-04-06T18:01:58Z
2012-04-06T18:01:58Z
2010
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
https://nasplib.isofts.kiev.ua/handle/123456789/32048
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.
en
Інститут фізики конденсованих систем НАН України
Condensed Matter Physics
Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
Феримагнетизм у димер-конекторному фрустрованому ланцюжку Габбарда
Article
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spellingShingle Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
Rössler, J.
Mainemer, D.
title Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_alt Феримагнетизм у димер-конекторному фрустрованому ланцюжку Габбарда
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_short Ferrimagnetism in the Hubbard, dimmer-connector frustrated chain
title_sort ferrimagnetism in the hubbard, dimmer-connector frustrated chain
url https://nasplib.isofts.kiev.ua/handle/123456789/32048
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AT mainemerd ferimagnetizmudimerkonektornomufrustrovanomulancûžkugabbarda