The Andreev crossed reflection -a Majorana path integral approach

@article{Schmeltzer2015TheAC,
  title={The Andreev crossed reflection -a Majorana path integral approach},
  author={David Schmeltzer},
  journal={Journal of Modern Physics},
  year={2015},
  volume={6},
  pages={1371-1379}
}
  • D. Schmeltzer
  • Published 31 July 2015
  • Physics
  • Journal of Modern Physics
We investigate the effect of the Majorana Fermions which are formed at the boundary of a p-wave superconductor. When the Majorana overlapping energy is finite we construct the scattering matrix S by mapping the Majorana zero mode to Fermions for which coherent states are defined and a path integral is obtained. The path integral is used to compute the scattering matrix in terms of the electrons in the leads. This method is suitable for computing the conductivity. We investigate a chiral… 

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References

SHOWING 1-10 OF 28 REFERENCES
Majorana fermion induced resonant Andreev reflection.
We describe experimental signatures of Majorana fermion edge states, which form at the interface between a superconductor and the surface of a topological insulator. If a lead couples to the Majorana
Signatures of Majorana fermions in topological insulator Josephson junction devices
We study theoretically the electrical current and low-frequency noise for a linear Josephson junction structure on a topological insulator, in which the superconductor forms a closed ring and
Helical liquids and Majorana bound states in quantum wires.
TLDR
It is argued that zero-energy Majorana bound states are formed in various situations when such wires are situated in proximity to a conventional s-wave superconductor when the external magnetic field, the superconducting gap, or the chemical potential vary along the wire.
Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions
One of the most promising proposals for engineering topological superconductivity and Majorana fermions employs a spin-orbit coupled nanowire subjected to a magnetic field and proximate to an s-wave
Tunneling characteristics of a chain of Majorana bound states
We consider theoretically tunneling characteristic of a junction between a normal metal and a chain of coupled Majorana bound states generated at crossings between topological and non-topological
Scattering theory of chiral Majorana fermion interferometry
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
Non-Abelian statistics of half-quantum vortices in p-wave superconductors.
  • D. Ivanov
  • Physics, Medicine
    Physical review letters
  • 2001
TLDR
From the properties of the solutions to Bogoliubov-de Gennes equations in the vortex core, the non-Abelian statistics of vortices are derived identical to that for the Moore-Read (Pfaffian) quantum Hall state.
Spin-polarized conductance induced by tunneling through a magnetic impurity.
TLDR
It is found that by applying either a gate voltage or a magnetic field or both, one of the spin components can be in resonance while the other is off resonance causing a strong asymmetry between the spin-up and spin-down conductances.
Splitting of a Cooper pair by a pair of Majorana bound states.
TLDR
It is found that, at sufficiently low excitation energies, this nonlocal scattering process dominates over local Andreev reflection involving a single bound state, and the low-temperature and low-frequency fluctuations deltaI(i) of currents into the two bound states i=1, 2 are maximally correlated.
Proposal for realizing Majorana fermions in chains of magnetic atoms on a superconductor
We propose an easy-to-build easy-to-detect scheme for realizing Majorana fermions at the ends of a chain of magnetic atoms on the surface of a superconductor. Model calculations show that such chains
...
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2
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