Orbital selective directional conductor in the two-orbital Hubbard model

Abstract

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 dxz and dyz) 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 N´eel temperature. After a careful finite-size scaling analysis, the nematicity temperature window appears to survive in the bulk limit, although it is very narrow.