Sondheimer oscillations as a probe of non-ohmic flow in WP<sub>2</sub> crystals.

van Delft, Maarten R; Wang, Yaxian; Putzke, Carsten; Oswald, Jacopo; Varnavides, Georgios; Garcia, Christina A C; Guo, Chunyu; Schmid, Heinz et al. · Nat Commun · 2021

basic_science · Level V

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Abstract

As conductors in electronic applications shrink, microscopic conduction processes lead to strong deviations from Ohm's law. Depending on the length scales of momentum conserving (l<sub>MC</sub>) and relaxing (l<sub>MR</sub>) electron scattering, and the device size (d), current flows may shift from ohmic to ballistic to hydrodynamic regimes. So far, an in situ methodology to obtain these parameters within a micro/nanodevice is critically lacking. In this context, we exploit Sondheimer oscillations, semi-classical magnetoresistance oscillations due to helical electronic motion, as a method to obtain l<sub>MR</sub> even when l<sub>MR</sub> ≫ d. We extract l<sub>MR</sub> from the Sondheimer amplitude in WP<sub>2</sub>, at temperatures up to T ~ 40 K, a range most relevant for hydrodynamic transport phenomena. Our data on μm-sized devices are in excellent agreement with experimental reports of the bulk l<sub>MR</sub> and confirm that WP<sub>2</sub> can be microfabricated without degradation. These results conclusively establish Sondheimer oscillations as a quantitative probe of l<sub>MR</sub> in micro-devices.