Non-linear Hall effect in three-dimensional Weyl and Dirac semimetals
O. O. Shvetsov, V. D. Esin, A. V. Timonina, N. N. Kolesnikov, E. V. Deviatov
Institute of Solid State Physics of the Russian Academy of Sciences, 142432 Chernogolovka, Russia
We experimentally investigate a non-linear Hall effect
for three-dimensional WTe2 and Cd3As2 single crystals, representing
Weyl and Dirac semimetals, respectively. We observe finite
second-harmonic Hall voltage, which depends quadratically on the longitudinal
current in zero magnetic field, as it has been predicted theoretically.
We demonstrate that second-harmonic Hall voltage shows odd-type
dependence on the direction of the magnetic field, which is a strong
argument in favor of current-magnetization effects. In contrast, one
order of magnitude higher thermopower signal is independent of the
magnetic field direction. Thus, the magnetic field dependence allows to
distinguish the non-linear Hall effect from a thermoelectric response.