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\begin{document}
\title{Monte Carlo study of phase separation in magnetic insulators}
\author{\underline{S.~Murawski}}
\affiliation{Electron States of Solids Division, Faculty of Physics, \mbox{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, \mbox{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, \mbox{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, \mbox{Adam Mickiewicz University in Pozna\'n, Umultowska 85, 61-614 Pozna\'n, Poland}}
\begin{abstract}
Phase separation in the zero-bandwidth extended Hubbard with nearest-neighbors intersite Ising-like magnetic interaction $J^z$ and on-site Coulomb interaction $U$ is the focus of this study [1-4].
The system was analyzed by means of Monte Carlo simulations on two dimensional square lattice
and the results in full range of chemical potential and electron concentration have been obtained.
Depending on the values of interaction parameters the system could be in magnetic (F), non-ordered (NO) or phase separation state PS:F/NO [1-2]. The compressibility $K$ is an indicator of the phase separation. Transitions between homogeneous phases (i.e. F--NO transitions) can be of first or second order. The tricritical point is also present on the diagrams.

\textbf{References:}
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{\scriptsize[1] W. K\l{}obus, K. Kapcia, S. Robaszkiewicz, Acta Phys. Pol. A \textbf{118}, 353 (2010)}

{\scriptsize[2]  S. Murawski, K. Kapcia, G. Paw\l{}owski, S. Robaszkiewicz, Acta Phys. Pol. A \textbf{121}, 1035 (2012)}

{\scriptsize[3] F. Mancini, E. Plekhanov, G. Sica, Cen. Eur. J. Phys. \textbf{10},  609 (2012)}

{\scriptsize[4] F. Mancini, E. Plekhanov, G. Sica, Eur. Phys. J. B, \textbf{86},  224 (2013)}
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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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