Orbital selective directional conductor in the two-orbital Hubbard model

Employing a recently developed many-body technique that allows for the incorporation of thermal effects, the rich phase diagram of a two-dimensional two-orbital (degenerate d(xz) and d(yz)) Hubbard model is presented varying temperature and the repulsion U. Our main result is the finding at intermediate U of an antiferromagnetic orbital selective state where an effective dimensional reduction renders one direction insulating and the other metallic. Possible realizations of this state are discussed. In addition, we also study nematicity above the Neel temperature. After a careful finite-size scaling analysis, the nematicity temperature window appears to survive in the bulk limit, although it is very narrow.