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arXiv · 2109.02300

Readout of parafermionic states by transport measurements

Ida E. Nielsen·Karsten Flensberg·Reinhold Egger·Michele Burrello
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Abstract

Recent experiments have demonstrated the possibility of inducing superconducting pairing into counterpropagating fractional quantum Hall edge modes. This paves the way for the realization of localized parafermionic modes, non-Abelian anyons that share fractional charges in a nonlocal way. We show that, for a pair of isolated parafermions, this joint degree of freedom can be read by conductance measurements across standard metallic electrodes. We propose two complementary setups. We investigate first the transport through a grounded superconductor hosting two interacting parafermions. In the low-energy limit, its conductance peaks reveal their shared fractional charge yielding a three-state telegraph noise for weak quasiparticle poisoning. We then examine the two-terminal electron conductance of a blockaded fractional topological superconductor, which displays a characteristic $e/3$ periodicity of its zero-bias peaks in the deep topological regime, thus signalling the presence of parafermionic modes.

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Ida E. Nielsen, Karsten Flensberg, Reinhold Egger, Michele Burrello. 2022-07-27. Readout of parafermionic states by transport measurements. https://doi.org/10.1103/physrevlett.129.037703

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