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Analogue viscous current flow near the onset of superconductivity
by Koushik Ganesan, Andrew Lucas
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Submission summary
| Authors (as registered SciPost users): | Andrew Lucas |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2204.06567v2 (pdf) |
| Date submitted: | 2022-10-05 15:08 |
| Submitted by: | Lucas, Andrew |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
Spatially resolved transport in two-dimensional quantum materials can reveal dynamics which is invisible in conventional bulk transport measurements. We predict striking patterns in spatially inhomogeneous transport just above the critical temperature in two-dimensional superconducting thin films, where electrical current will appear to flow as if it were a viscous fluid obeying the Navier-Stokes equations. Compared to viscous electron fluids in ultrapure metals such as graphene, this analogue viscous vortex fluid can exhibit a far more tunable crossover, as a function of temperature, from Ohmic to non-Ohmic transport, with the latter arising on increasingly large length scales close to the critical temperature. Experiments using nitrogen vacancy center magnetometry, or transport through patterned thin films, could reveal this analogue viscous flow in a wide variety of materials.
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Like the other anonymous reviewer, I cannot go beyond Equation 1. How can one apply a spatially modulated electric field to a metal? The authors propose to apply an electric field with spatial periodicity. I am not aware of any previous implementation of this. Do the authors believe that this is feasible by current technology, or is it just a thought experiment?
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I got stuck at: "...we apply a small time-independent electric field E⃗ = Ey(k)e^ikx yˆ,...". If this is the only E-field present, then, by Faraday (I think), we have a steadily changing B-field, and the superconductor should "care" about that B-field. So it is not clear what the set-up is. We could make a steady-state like this with a strip and currents flowing across the strip from edge to edge (and nonuniform along the infinite direction of the strip). If that is what is intended it should be made explicit.