Functional dependence of Hall viscosity induced transverse voltage in two-dimensional Fermi liquids

Ioannis Matthaiakakis, David Rodríguez Fernández, Christian Tutschku, Ewelina M. Hankiewicz, Johanna Erdmenger, René Meyer

Abstract

The breaking of parity and time-reversal symmetry in two-dimensional Fermi liquids gives rise to nondissipative transport features characterized by the Hall viscosity. In magnetic fields, the Hall viscous force directly competes with the Lorentz force, since both mechanisms contribute to the Hall voltage. In this paper, we present a channel geometry that allows us to uniquely distinguish these two contributions and derive their functional dependency on all external parameters. We show that the ratio of the Hall viscous to the Lorentz force contribution is negative and that its modulus decreases with increasing width, slip length, and carrier density, while it increases with the electron-electron mean free path of our channel. In typical materials such as GaAs the Hall viscous contribution can dominate the Lorentz signal up to a few tens of millitesla until the total Hall voltage vanishes and subsequently is overcome by the Lorentz contribution. Moreover, we prove that the total Hall electric field is parabolic due to Lorentz effects, whereas the offset of this parabola is characterized by the Hall viscosity. Hence, our results pave the way to measure and identify the Hall viscosity via both global and local voltage measurements.

Locations

• Physical review. B./Physical review. B - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View