Some properties of two dimensional extended repulsive Hubbard model with intersite magnetic interactions - a Monte Carlo study

Abstract

In this paper the two dimensional extended Hubbard model with intersite magnetic Ising-like interaction in the atomic limit is analyzed by means of the classical Monte Carlo method in the grand canonical ensemble. Such an effective simple model could describe behavior of insulating (anti)ferromagnets. In the model considered the Coulomb interaction ($U$) is on-site and the magnetic interactions in $z$-direction ($J>0$, antiferromagnetic) are restricted to nearest-neighbors. Simulations of the model have been performed on a square lattice consisting of $N=L\times L=400$ sites ($L=20$) in order to obtain the full phase diagram for $U/(4J)=1$. Results obtained for on-site repulsion ($U>0$) show that, apart from homogeneous non-ordered (NO) and ordered magnetic (antiferromagnetic, AF) phases, there is also a region of phase separation (PS: AF/NO) occurrence. We present a phase diagram as well as some thermodynamic properties of the model for the case of $U/(4J)=1$ (and arbitrary chemical potential and arbitrary electron concentration). The AF-NO transition can be second-order as well as first-order and the tricritical point occurs on the diagram.

5 pages, 4 figures, pdf-ReVTeX, presented at 16th National School of Superconductivity: Unconventional superconductivity and strongly correlated systems, Zakopane, Poland, October 7-12, 2013, submitted to Acta Physica Polonica A

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• Some properties of two dimensional extended repulsive Hubbard model with intersite magnetic interactions - a Monte Carlo study
• Probe-type of superconductivity by impurity in materials with short coherence length: the s-wave and $\eta$-wave phases study
• Thermodynamic and electromagnetic properties of the eta-pairing superconductivity in the Penson-Kolb model
• Coexistence of $s$- and $d$-wave gaps due to pair-hopping and exchange interactions
• Spin-polarized superconducting phase in semiconducting system with next-nearest-neighbor hopping on the honeycomb lattice