Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2012-02-03
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5+2pages, 5 Figures, comments are welcome
Scientific paper
We analyze the current-biased Shapiro experiment through a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. These junctions are predicted to have an unconventional $4\pi$-periodic Josephson effect. We take into account the fact that due to the wires finite length, the Majorana fermions overlap resulting in a conventional $2\pi$-periodicity for dc-experiments. We show that probing the current-phase relation in a current biased setup dynamically decouples the Majorana fermions recovering thus a 4$\pi$-periodicity, different from the ideal case. Furthermore, we discuss the robustness of the experiment by considering effects of multiple modes and quasiparticle poisoning.
Domínguez Fernando
Hassler Fabian
Platero Gloria
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