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Unresolved pressing electric field dependence in Wigner solid resistivity

Determine whether the resistivity of the Wigner solid on superfluid 3He-B depends on the pressing electric field, and reconcile the discrepancy between the pressing-field dependence reported in Shirahama et al. (1997) and the absence of such dependence in Ikegami et al. (2006), including identifying the physical mechanism responsible if a dependence exists.

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Background

In discussing prior measurements, the authors report that the normalized resistivity of the Wigner solid on superfluid 3He-B is well described by a thermal activation form, with slight deviations possibly indicative of Andreev scattering. They also note an inconsistency among experiments regarding the impact of the pressing electric field on resistivity.

Specifically, an earlier work observed a pressing-field dependence that was not reproduced in a later experiment. The origin and reliability of this dependence remain unresolved, making it an open issue for interpreting mobility and resistivity measurements in this system.

References

Incidentally, in that work, an unresolved pressing electric field dependence exists, which is not reproduced in a more recent work.

Contribution of Andreev reflection to the mobility of surface state electrons on superfluid $^3$He-B (2406.14016 - Tsutsumi et al., 20 Jun 2024) in Section 1 (Purpose)