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Using the real-space Hartree Fock approximation, the magnetic phase diagramof a five-orbital Hubbard model for the iron-based superconductors is studiedvarying the electronic density $n$ in the range from 5 to 7 electrons pertransition metal atom. The Hubbard interaction $U$ is also varied, at a fixedHund coupling $J/U=0.25$. Several qualitative trends and a variety of competingmagnetic states are observed. At $n$=5, a robust G-type antiferromagneticinsulator is found, in agreement with experimental results for BaMn$_2$As$_2$.As $n$ increases away from 5, magnetic states with an increasing number ofnearest-neighbors ferromagnetic links become energetically stable. Thisincludes the well-known C-type antiferromagnetic state at $n$=6, the E-phaseknown to exist in FeTe, and also a variety of novel states not found yetexperimentally, some of them involving blocks of ferromagnetically orientedspins. Regions of phase separation, as in Mn-oxides, have also been detected.Comparison with previous theoretical investigations indicate that thesequalitative trends may be generic characteristics of phase diagrams ofmultiorbital Hubbard models.

Magnetic Phase Diagram of a Five-Orbital Hubbard Model in the Real-Space Hartree Fock Approximation Varying the Electronic Density