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SYBS: Symposium Fluids with Broken Time-Reversal Symmetry: Odd/Hall Viscosity between Active Matter and Electron Flows

SYBS 1: Fluids with broken time-reversal symmetry: Odd/Hall viscosity between active matter and electron flows

SYBS 1.4: Hauptvortrag

Dienstag, 10. März 2026, 11:15–11:30, HSZ/AUDI

Parity-odd transport in electron fluids — •Johanna Erdmenger — Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität Würzburg, 97074 Würzburg

Parity-odd transport in two-dimensional electron systems reveals an interplay between geometry, topology, and hydrodynamics. In channel geometries, the Hall viscous force competes with the Lorentz force, leading to nonlinear Hall voltage profiles and, at a critical magnetic field, a complete cancellation of the total Hall response [1,2]. Channel voltage measurements provide a direct experimental probe. Similar effects arise for the hydrodynamic inverse Nernst signal [2].

For hydrodynamic spin transport, non-dissipative parity-breaking transport phenomena are generated by torsion. The torsional Hall viscosity has interesting connections to recent developments in general relativity. We analyse the impact of magnetic fields and quadratic band-structure corrections on the torsional transport coefficient, showing that torsional response can reverse direction relative to conventional Hall viscous forces, while still distinguishing topologically trivial and nontrivial regimes [3].

[1] I. Matthaiakakis, D. Rodríguez, C. Tutschku, J. Erdmenger, E. M. Hankiewicz and R. Meyer, Phys.Rev.B 101 (2020) 4, 045423.

[2] Z.Y. Xian, S. Danz, I. Matthaiakakis, R. L. Klees, J. Erdmenger, R. Meyer, E. M. Hankiewicz et al, Phys.Rev.B 107 (2023) 20, L201403.

[3] I. Matthaiakakis, W.Z. Jia, R. L. Klees, D. Rodríguez Fernández, Z.Y. Xian, R. Meyer, J. Erdmenger and E. M. Hankiewicz, arXiv:2504.13250 [cond-mat.mes-hall].

Keywords: Hydrodynamics for electron fluids; Hall viscosity; Torsional Hall viscosity; Spin transport