Observation of hydrodynamic-like behavior in 3D Dirac semimetal ZrTe5

The phonon hydrodynamic system has only been detected experimentally in the limited compounds because of its stringent condition to appear. Herein, we elucidate the existence of hydrodynamic features driven by the collective excitation of Dirac fluid in semimetal ZrTe5. By measuring the electrical and the thermal property in a wide temperature range, we find the regime as satisfying phonon hydrodynamic-like characteristics with two representative experimental evidence: faster evolution of thermal conductivity than the ballistic regime and the existence of a local maximum of effective mean-free-path. Unlike the phononic hydrodynamics, a magnitude of hundreds violated Wiedemann-Franz law, and phonon-dragged anomalies can be seen, which provide us as a signature of the Dirac fluid in this system.