Disorder in Andreev reflection of a quantum Hall edge
About
We develop a theory of charge transport along the quantum Hall edge proximitized by a "dirty" superconductor. Disorder randomizes the Andreev reflection rendering the conductance of a proximitized segment a stochastic quantity with zero average for a sufficiently long segment. We find the statistical distribution of the conductance and its dependence on electron density, magnetic field, and temperature.
Vladislav D. Kurilovich, Zachary M. Raines, Leonid I. Glazman• 2022
Related benchmarks
| Task | Dataset | Result | Rank | |
|---|---|---|---|---|
| Image Generation | ImageNet 256x256 (val) | FID2.3 | 307 | |
| Image Generation | ImageNet 256x256 (train) | FID2.3 | 91 | |
| Image Generation | FFHQ | FID2.02 | 52 | |
| Generative Image Modeling | ImageNet 50k generated samples (test) | Inception Score (IS)675.4 | 10 |
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