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\begin{document}
\title{Transport properties of magnetic narrow-band semiconductors}
\author{\underline{S.~Murawski}}
\affiliation{Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Pozna\'n, Umultowska 85, 61-614 Pozna\'n, Poland}
\author{K.~Kapcia}
\affiliation{Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Pozna\'n, Umultowska 85, 61-614 Pozna\'n, Poland}
\author{G.~Paw\l owski}
\affiliation{Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Pozna\'n, Umultowska 85, 61-614 Pozna\'n, Poland}
\author{S.~Robaszkiewicz}
\affiliation{Electron States of Solids Division, Faculty of Physics, Adam Mickiewicz University in Pozna\'n, Umultowska 85, 61-614 Pozna\'n, Poland}
\begin{abstract}
Magnetic insulators are materials in which a mixture of localized and itinerant electrons give rise to magnetic orderings [1]. 
This is realized in transition metal cluster compounds with formula AM$_4$X$_8$ where A-Al,Ga, M-V,Mo, X-S,Se,Te as well as in high-$T_c$ superconductors.
The extended Hubbard model with intersite magnetic interactions can be an effective model for these materials. 
This model was heavily investigated, especially for 1D and pseudo-1D systems [2-3].
This work presents results obtained using algorithms from the ALPS package [4] on square lattice. Ground state is shown as well as compressibility, magnetization and specific heat behaviour.


\textbf{References:}
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{\scriptsize[1] S. Lamba, A. K. Rastogi, and D. Kumar, Phys. Rev. B \textbf{56} (1997)}

{\scriptsize[2] G.I. Japaridze and E. M\"uller-Hartmann, Phys. Rev. B \textbf{61}, 9019 (2000)}

{\scriptsize[4] S. Daul, D.J. Scalapino, S.R. White PRL \textbf{84}, 18 (2000)}

{\scriptsize[5] B. Bauer et al. (ALPS collaboration) J. Stat. Mech. P05001 (2011)}
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\textit{The work has been financed by National Science Center as a project No. DEC-2011/01/N/ST3/00413 (K.K) and as the doctoral scholarship No.  DEC-2013/08/T/ST3/00012 (K.K) as well as by ESF--OP Human Capital--POKL.04.01.01-00-133/09-00 (S.M., K.K.).}
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