  Magnetic phase diagram for the Hubbard model on the Beta-Mn type lattice has
been calculated as a function of the Coulomb interaction energy parameter U and
the electron number per atom n by using the generalized Hartree-Fock
approximation combined with the recursion method for electronic-structure
calculations. The ferromagnetic state, the ferrimagnetic state, and the
helimagnetic state as well as the 3Q multiple spin density waves (3QMSDW)
states have been obtained on the U-n plane. Their detailed structures are
examined with use of the Fourier analysis. It is shown that the calculated
phase diagram and the Dzyaloshinskii-Moriya interaction elucidate the magnetic
interactions for the itinerant-electron skyrmions in transition metal alloys
and compounds on the Beta-Mn type lattice.
