Resistance Distribution of Decoherent Quantum Hall-Superconductor Edges
ORAL
Abstract
We study the probability distribution of the resistance, or equivalently the charge transmission, of a decoherent quantum Hall-superconductor edge, with the decoherence coming from metallic puddles along the edge. Such metallic puddles may originate from magnetic vortex cores or other superconductivity suppressing perturbations. In contrast to the distribution of a coherent edge which is peaked away from zero charge transmission, we show analytically and numerically that the distribution of a decoherent edge with metallic puddles is always peaked at zero charge transmission, which serves as a probe of coherence of superconducting chiral edge states. We further show that the distribution width decays exponentially in magnetic field and temperature. Our theoretical decoherent distribution agrees well with the recent experimental observation in graphene with superconducting proximity.
*BL is supported by the National Science Foundation through Princeton University's Materials Research Science and Engineering Center DMR-2011750, and the National Science Foundation under award DMR-2141966. Additional support is provided by the Gordon and Betty Moore Foundation through Grant GBMF8685 towards the Princeton theory program. JW is supported by the National Key Research Program of China under Grant No.~2019YFA0308404, the Natural Science Foundation of China through Grants No.~12350404 and No.~12174066, Shanghai Municipal Science and Technology Commision under Grants No.~23JC1400600 and No.~2019SHZDZX01.
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Publication: Hu, Wang, Lian, arXiv2405.17550 (2024)
Presenters
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Biao Lian
- Princeton University