Fig. 4: Extraction of scattering times from the Sondheimer amplitude. | Nature Communications

Fig. 4: Extraction of scattering times from the Sondheimer amplitude.

From: Sondheimer oscillations as a probe of non-ohmic flow in WP2 crystals

Fig. 4: Extraction of scattering times from the Sondheimer amplitude.

a FFTs of the SO at different temperatures for thicknesses of 4.3, 2.7, and 2.0 μm. The data at T = 4 K is the same as that in Fig. 3c. b Temperature dependence of the Sondheimer and SdH oscillation amplitudes, for different sample thicknesses. The error bars are estimated from the variation in amplitude in the FFT spectra. The dashed lines are fits used to extrapolate to the amplitude at zero temperature, A(0) (see Methods for details). The dotted line is a Lifshitz–Kosevich fit, giving an effective mass of 1.1 me. Two regimes are highlighted: that of quantum coherence, where SdH oscillations exist alongside SO, and that of Sondheimer, where only SO exist. c Scattering times extracted for a 4.3 μm thick section of a WP2 device using Eq. (2) and the calculated Fermi velocity, vF = 3.6 × 105 m/s. An approximate quantum lifetime extracted from the SdH oscillations as well as data from refs. 18,46 are included for comparison. Errors in τMR are propagated from those in the amplitudes and the error in τq is the standard deviation of several measurement. d Calculated scattering time for all electron–phonon scattering (τe−ph) and e the scattering efficiency determining the momentum-relaxing scattering lifetimes (τMR) projected onto the Fermi surface at T = 10 K.

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