Fractional Josephson effect in a quadruple quantum dot

Abstract

A double quantum dot coupled to an s-wave superconductor and subject to an inhomogeneous magnetic field can host a pair of zero-energy Majorana fermions when the dot properties are tuned appropriately. Here, we demonstrate the possibility to generate a fractional 4-pi Josephson effect in two such double dots tunnel-coupled to each other. We discuss the robustness of this effect with respect to perturbations away from the special point in parameter space where the uncoupled double dots host Majorana fermions. We demonstrate the possibility to generate Josephson effects with a period of 8-pi and 12-pi in strongly-coupled double dots.

15 pages, 6 figures, published version

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Cited by in corpus (11)

• Unconventional Superconductivity in Double Quantum Dots
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Phase-dependent heat and charge transport through superconductor-quantum dot hybrids
• Tunable Floquet Majorana Fermions in Driven Coupled Quantum Dots
• Finite-frequency noise in a quantum dot with normal and superconducting leads
• Fate of poor man's Majoranas in the long Kitaev chain limit
• Superconductor-quantum dot hybrid coolers
• Properties of the Majorana-state tunneling Josephson junction mediated by an interacting quantum dot
• $8\pi$-periodic dissipationless ac Josephson effect on a quantum spin-Hall edge via a Quantum magnetic impurity
• Floquet Majorana Fermions in superconducting quantum dots
• Majorana modes in a triple-terminal Josephson junction with embedded parallel-coupled double quantum dots