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The emergence of phase separation is investigated in the framework of a 2Dt-J model by means of a variational product ansatz, which covers the infinitelattice by two types of L x L clusters. Clusters of the first type arecompletely occupied with electrons, i.e. they carry maximal charge Q_e=L^2 andtotal spin 0, and thereby form the antiferromagnetic background. Holes occur inthe second type of clusters -- called ``hole clusters''. They carry a chargeQ_h<L^2. The charge Q_h and the number N(Q_h) of hole clusters is fixed byminimizing the total energy at given hole density and spin exchange coupling\alpha=J/t. For \alpha not too small (\alpha>0.5) it turns out that holeclusters are occupied with an even number Q_h<L^2 of electrons and carry atotal spin 0. For increasing \alpha the charge Q_h(\alpha) of the hole clustersdecreases.Some points on the boundary curve can be extracted from Q_h(\alpha).Comment: 11 pages and 3 figure

Formation of clusters in the 2Dt–Jmodel: the mechanism for phase separation