Chiral supercurrent through a quantum Hall weak link. Alavirad, Y., Lee, J., Lin, Z., & Sau, J. D. *eprint*, 4, 2018. Paper abstract bibtex We use a microscopic model to calculate properties of the supercurrent carried by chiral edge states of a quantum Hall weak link. This "chiral" supercurrent is qualitatively distinct from the usual Josephson supercurrent in that it cannot be mediated by a single edge alone, i.e., both right and left going edges are needed. Moreover, chiral supercurrent was previously shown to obey an unusual current-phase relation with period $2 \phi_0=h/e$, which is twice as large as the period of conventional Josephson junctions. We show that the "chiral" nature of this supercurrent is sharply defined, and is robust to interactions to infinite order in perturbation theory. We compare our results with recent experimental findings of Amet et al [Science, 352(6288)] and find that quantitative agreement in magnitude of the supercurrent can be attained by making reasonable but critical assumptions about the superconductor quantum Hall interface.

@article{Alavirad-2018-ID294,
title = {Chiral supercurrent through a quantum Hall weak link},
abstract = {We use a microscopic model to calculate properties of the supercurrent
carried by chiral edge states of a quantum Hall weak link. This "chiral"
supercurrent is qualitatively distinct from the usual Josephson
supercurrent in that it cannot be mediated by a single edge alone, i.e.,
both right and left going edges are needed. Moreover, chiral supercurrent
was previously shown to obey an unusual current-phase relation with period
$2 \phi_0=h/e$, which is twice as large as the period of conventional
Josephson junctions. We show that the "chiral" nature of this supercurrent
is sharply defined, and is robust to interactions to infinite order in
perturbation theory. We compare our results with recent experimental
findings of Amet et al [Science, 352(6288)] and find that quantitative
agreement in magnitude of the supercurrent can be attained by making
reasonable but critical assumptions about the superconductor quantum Hall
interface.},
author = {Alavirad, Yahya and Lee, Junhyun and Lin, Ze-Xun and Sau, Jay D.},
journal = {eprint},
year = {2018},
month = {4},
url = {http://arxiv.org/abs/1804.05872v3},
arxiv = {1804.05872v3},
keywords = {cond-mat.mes-hall},
file = {FULLTEXT:pdfs/000/000/000000294.pdf:PDF}
}

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