Fernando Domínguez, Fabian Hassler, Gloria Platero
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.
View original:
http://arxiv.org/abs/1202.0642
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