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The recent observation of magnetization plateaus in rare-earth metallic tetraborides has drawn a lot of attention to this class of materials. In this work, we investigate the electronic structure of one such canonical system LuB₄, using first-principle density functional theory, together with strong Coulomb correlation and spin-orbit coupling (SOC) effects. The electronic band structures show that LuB₄ is a non-magnetic correlated metal with completely filled 4f shell. The projected density of states (DOS) shows a continuum at the Fermi level (FL), arising mainly from hybridized Lu d and B p orbitals, along with some discrete peaks, well separated from the continuum. These peaks arise mainly due to core-level Lu s, p and 4f atomic orbitals. Upon inclusion of SOC, the discrete peak arising due to Lu p is split into two peaks with j = 1/2, j = 3/2 while the peak arising due to Lu 4f orbitals splits into two peaks with j = 5/2 and j = 7/2. These peaks will give rise to multiplet structure in core level X-ray photo-emission spectroscopy. Inclusion of strong correlation effects pushes the Lu 4f peak away from the FL while the qualitative features remain intact.
Sk et al. (Sat,) studied this question.