Please use this identifier to cite or link to this item: https://hdl.handle.net/10593/13048
 Title: Some exact results for the zero-bandwidth extended Hubbard model with intersite charge and magnetic interactions Authors: Kapcia, Konrad JerzyKłobus, WaldemarRobaszkiewicz, Stanisław Keywords: extended Hubbard modelatomic limitmagnetismcharge-orderphase separationtransfer matrix method1D-chain Issue Date: Feb-2015 Publisher: Polish Academy of Sciences, Institute of Physics, al. Lotników 32-46, PL-02-668 Warsaw, Poland Citation: Acta Physica Polonica A, Vol. 121, No. 2, 284-286 (2015) Abstract: The 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. Sponsorship: National 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 in Description: This is an author-created, un-copyedited version of an article accepted for publication in Acta Physica Polonica A. URI: http://hdl.handle.net/10593/13048 DOI: 10.12693/APhysPolA.127.284 ISSN: 0587-4246 Appears in Collections: Artykuły naukowe (WF)

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