Nematic order in a degenerate Hubbard model with spin–orbit coupling

Abstract

Using Bogoliubov’s inequality we rigorously show that the multiorbital Hubbard model with narrow bands, even in the presence of spin–orbit coupling, does not exhibit long-range nematic order, in low dimensions. This result holds at any finite temperature for both repulsive and attractive Coulomb interactions, with and without spin–orbit coupling.