Session P23: Superconductivity Theory II: p-wave, chiral, and topological

8:00 AM–11:00 AM, Wednesday, February 29, 2012
Room: 255

Sponsoring Unit: DCMP
Chair: Herbert Fotso, Georgetown University

Abstract ID: BAPS.2012.MAR.P23.8

Abstract: P23.00008 : Scattering theory of chiral Majorana fermion interferometry

9:24 AM–9:36 AM

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Authors:

  Jian Li
    (Department of Theoretical Physics, University of Geneva, Switzerland)

  Genevi\`eve Fleury
    (CEA-Saclay, France)

  Markus Buttiker
    (Department of Theoretical Physics, University of Geneva, Switzerland)

Using scattering theory, we investigate interferometers composed of chiral Majorana fermion modes coupled to normal metal leads. We advance an approach in which also the basis states in the normal leads are written in terms of Majorana modes. As a consequence the scattering at the junctions of the lead to the Majorana mode couples modes effectively only pair-wise irrespective of the number of normal scattering modes. We demonstrate that the charge current can also be expressed in terms of interference between pairs of Majorana modes. These two basic facts permit a treatment and understanding of current and noise signatures of chiral Majorana fermion interferometry in an especially elegant way. As a particular example of applications, in Fabry-Perot-type interferometers where chiral Majorana modes form loops, resonances (anti-resonances) upon such loops always lead to peaked (suppressed) Andreev differential conductances and negative (positive) cross-correlations originate purely from two-Majorana-fermion exchange. These investigations are intimately related to current and noise signatures of Majorana bound states.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2012.MAR.P23.8