Berlin 2015 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 105: Transport: Majorana fermions (TT with DS/HL/MA/O)
HL 105.10: Talk
Friday, March 20, 2015, 12:00–12:15, H 0104
Topological phases of interacting fermions in one-dimensional superconductor - normal metal geometry — Dganit Meidan1,2, •Alessandro Romito1, and Piet W. Brouwer1 — 1Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel — 2Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
One-dimensional superconductors can be in non-trivial topological phases harboring Majorana end-states, which possess non-abelian statistics. It has been recently established that in the presence of interactions the classification of topological superconducting phases can be significantly altered. Specifically, for one-dimensional superconductors possessing a time reversal symmetry (BDI class), interactions reduce the infinitely many non-interacting phases (Z topological index) to eight distinct ones (Z_8 topological index).
In this talk I will consider multi-mode superconducting wires in such BDI class when probed by an external contact, and discuss their low temperature and voltage bias transport properties. I will first show that the Andreev reflection component of the scattering matrix of the probing lead provides a topological index, r=-4, ..., 4, which distinguish the eight topological phases. The two topologically equivalent phases with r= 4,-4 support emergent many-body end states, which are identified to be a topologically protected Kondo-like resonance. The path in phase space that connects these equivalent phases crosses a non-fermi liquid fixed point where a multiple channel Kondo effect develops.