Majorana box: crossover between uncorrelated Andreev reection and teleportation
We consider a Majorana box with normal leads in the regime of a relatively weak Coulomb blockade. For vanishing charging energy (grounded box) the result of Bolech and Demler [1] applies and the Andreev currents in the two leads are not correlated. In the regime of a very strong Coulomb blockade the phenomenon of teleportation was predicted by Fu in Ref. [2], i.e., a perfect correlation between the currents. Using the technique developed in Ref. [3] we consider the intermediate regime and describe the crossover between the two limits.
[1] C. J. Bolech and E. Demler. Observing Majorana bound states in p-wave superconductors using noise measurements in tunneling experiments. Phys. Rev. Lett., 98:237002, Jun 2007.
[2] L. Fu. Electron teleportation via Majorana bound states in a mesoscopic superconductor. Phys. Rev. Lett., 104:056402, Feb 2010.
[3] A. Zazunov, A. Levy Yeyati, and R. Egger. Coulomb blockade of Majorana-fermion-induced transport. Phys. Rev. B, 84:165440, Oct 2011.