There is a need for compact, dynamically
tunable, nonreciprocal
optical elements to enable on-chip-compatible optical isolators and
more efficient radiative energy transfer systems. Plasmon Fizeau drag,
the drag of an electrical current on propagating surface plasmon polaritons
(SPPs), has been proposed to induce nonreciprocal surface modes to
enable one-way energy transport. However, relativistic electron drift
velocities are required to induce an appreciable contrast between
the dispersion characteristics of copropagating and counter-propagating
surface plasmon modes. The high electron drift velocity of graphene
previously allowed for the experimental demonstration of current-induced
nonreciprocity in a two-dimensional (2D) Dirac material. The high
electron drift and Fermi velocities in three-dimensional (3D) Dirac
materials make them ideal candidates for the effect; however, both
the theory of the Fizeau drag effect and its experimental demonstrations
in 3D Dirac materials are missing. Here, we develop a comprehensive
theory of Fizeau drag in DC-biased 3D Weyl semimetals (WSMs) or Dirac
semimetals (DSMs), both under local and nonlocal approximation and
with dissipative losses. We predict that under practical assumptions
for loss, Fizeau drag in the DSM Cd3As2 opens
windows of pseudounidirectional transport. We additionally introduce
new figures of merit to rank nonreciprocal plasmonic systems by their
potential for directional SPP transport. Further, we propose a new
approach for achieving appreciable plasmonic Fizeau drag via optically
pumping bulk inversion symmetry-breaking WSMs or DSMs.