Regensburg 2013 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 61: Focused Session: Majorana fermions in condensed matter (TT, jointly with HL, MA, O)
HL 61.5: Topical Talk
Wednesday, March 13, 2013, 17:15–17:45, H20
Parity Effects and Crossed Andreev Noise in Transport through Majorana Wires — •Bernd Rosenow1, Björn Zocher1,2, and Mats Horsdal1 — 1Institut für Theoretische Physik, Universität Leipzig, D-04009 Leipzig, Germany — 2Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig, Germany
One of the defining properties of a topologically ordered state is the ground state degeneracy on surfaces with nonzero genus. In semiconductor-superconductor hybrid structures, a phase transition between regular and topologically nontrivial superconductivity is expected as a function of chemical potential or magnetic field strength. The difference in ground state degeneracies of the two phases is reflected in the parity and magnetic flux dependence of nonlinear Coulomb blockade transport through a ring shaped structure.
In nanowires of finite length, topologically non-trivial superconductivity is expected to give rise to Majorana bound states at the ends of the wire. The non-locality of Majorana bound states opens the possibility of crossed Andreev reflection with nonlocal shot noise, due to the injection of an electron into one end of the superconductor followed by the emission of a hole at the other end. When coupling the end states to leads via quantum dots with resonant levels, in the space of energies of the two resonant quantum dot levels we find a four peaked clover-like pattern for the strength of noise due to crossed Andreev reflection, distinct from the single ellipsoidal peak found in the absence of Majorana bound states.