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Title: Some exact results for the zero-bandwidth extended Hubbard model with intersite charge and magnetic interactions
Authors: Kapcia, Konrad Jerzy
Kłobus, Waldemar
Robaszkiewicz, Stanisław
Keywords: extended Hubbard model
atomic limit
phase separation
transfer matrix method
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.
DOI: 10.12693/APhysPolA.127.284
ISSN: 0587-4246
Appears in Collections:Artykuły naukowe (WF)

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