Some exact results for the zero-bandwidth extended Hubbard model with intersite charge and magnetic interactions

dc.contributor.authorKapcia, Konrad Jerzy
dc.contributor.authorKłobus, Waldemar
dc.contributor.authorRobaszkiewicz, Stanisław
dc.date.accessioned2015-05-20T16:30:02Z
dc.date.available2015-05-20T16:30:02Z
dc.date.issued2015-02
dc.descriptionThis is an author-created, un-copyedited version of an article accepted for publication in Acta Physica Polonica A.pl_PL
dc.description.abstractThe extended Hubbard model in the zero-bandwidth limit is studied. The effective Hamiltonian consists of (i) on-site U interaction and intersite (ii) density-density interaction W and (iii) Ising-like magnetic exchange interaction J (between the nearest-neighbors). We present rigorous (and analytical) results obtained within the transfer-matrix method for 1D-chain in two particular cases: (a) W=0 and n=1; (b) $U\rightarrow+\infty$ and n=1/2 ($W\neq 0$, $J\neq 0$). We obtain the exact formulas for the partition functions which enables to calculate thermodynamic properties such as entropy, specific heat (c), and double occupancy per site. In both cases the system exhibits an interesting temperature dependence of c involving a characteristic two-peak structure. There are no phase transitions at finite temperatures and the only transitions occur in the ground state.pl_PL
dc.description.sponsorshipNational Science Center (NCN) as a research project in years 2011-2013, under grant No. DEC-2011/01/N/ST3/00413; National Science Center (NCN) as a doctoral scholarship in years 2013-2014 No. DEC- 2013/08/T/ST3/00012; European Commission and Ministry of Science and Higher Education (Poland) - partial financial support from European Social Fund – Operational Programme "Human Capital" – POKL.04.01.01-00-133/09-00 – "Proinnowacyjne kształcenie, kompetentna kadra, absolwenci przyszłości"; The Fundation of Adam Mickiewicz University inpl_PL
dc.identifier.citationActa Physica Polonica A, Vol. 121, No. 2, 284-286 (2015)pl_PL
dc.identifier.doihttps://doi.org/10.12693/APhysPolA.127.284
dc.identifier.issn0587-4246
dc.identifier.urihttp://hdl.handle.net/10593/13048
dc.language.isoenpl_PL
dc.publisherPolish Academy of Sciences, Institute of Physics, al. Lotników 32-46, PL-02-668 Warsaw, Polandpl_PL
dc.rightsinfo:eu-repo/semantics/openAccesspl_PL
dc.subjectextended Hubbard modelpl_PL
dc.subjectatomic limitpl_PL
dc.subjectmagnetismpl_PL
dc.subjectcharge-orderpl_PL
dc.subjectphase separationpl_PL
dc.subjecttransfer matrix methodpl_PL
dc.subject1D-chainpl_PL
dc.titleSome exact results for the zero-bandwidth extended Hubbard model with intersite charge and magnetic interactionspl_PL
dc.typeArtykułpl_PL

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