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Particle-hole asymmetric lifetimes promoted by spin and orbital fluctuations in SrVO$_3$ monolayers

The two-dimensional nature of engineered transition-metal ultra-thin oxide films offers a large playground of yet to be fully understood physics. Here, we study pristine SrVO$_3$ monolayers that have recently been predicted to display a variety of magnetic and orbital orders. Above all ordering temperatures, we find that the associated non-local fluctuations lead to a momentum differentiation in the self-energy, particularly in the scattering rate. In the one-band 2D Hubbard model, momentum-selectivity on the Fermi surface ("$k=k_F$") is known to lead to pseudogap physics. Here instead, in the multi-orbital case, we evidence a differentiation between momenta on the occupied ("$k<k_F$") and the unoccupied side ("$k>k_F$") of the Fermi surface. Our work, based on the dynamical vertex approximation, complements the understanding of spectral signatures of non-local fluctuations, calls to (re)examine other ultra-thin oxide films and interfaces with methods beyond dynamical mean-field theory, and may point to correlation-enhanced thermoelectric effects.