  We study shot noise in a two-dimensional, disordered marginal Fermi liquid
(MFL) driven out of equilibrium. We consider electrons with Planckian
dissipation on the Fermi surface coupled to quantum-critical bosons in the
presence of disorder. In the non-interacting and strong fermion-boson drag
limits, MFL effects disappear and our theory reproduces known results.
Interestingly, in the case where the bosons remain in equilibrium, MFL effects
play a role and the shot noise reduces rapidly as the electron-boson coupling
strength increases. Our results suggest that shot noise can be strongly
suppressed in quantum-critical systems, and this scenario may be relevant to
recent measurements in a heavy-fermion strange metal.

Strongly Correlated Electrons;Disordered Systems and Neural Networks;Mesoscale and Nanoscale Physics