# Majorana modes and transport across junctions of superconductors and normal metals.

@article{Thakurathi2015MajoranaMA, title={Majorana modes and transport across junctions of superconductors and normal metals.}, author={Manisha Thakurathi and Oindrila Deb and Diptiman Sen}, journal={Journal of physics. Condensed matter : an Institute of Physics journal}, year={2015}, volume={27 27}, pages={ 275702 } }

We study Majorana modes and transport in one-dimensional systems with a p-wave superconductor (SC) and normal metal leads. For a system with an SC lying between two leads, it is known that there is a Majorana mode at the junction between the SC and each lead. If the p-wave pairing Δ changes sign or if a strong impurity is present at some point inside the SC, two additional Majorana modes appear near that point. We study the effect of all these modes on the sub-gap conductance between the leads…

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## References

SHOWING 1-10 OF 102 REFERENCES

Local density of states in metal-topological superconductor hybrid systems

- Physics
- 2012

We study by means of the recursive Green's function technique the local density-of-states of (finite and semi-infinite) multi-band spin-orbit coupled semiconducting nanowires in proximity to an…

Majorana fermions in T-shaped semiconductor nanostructures.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2014

We investigate the Majorana fermions in a T-shaped semiconductor nanostructure with the Rashba spin-orbit coupling and a magnetic field in the proximity of an s-wave superconductor. It is found that…

Fermionic and Majorana bound states in hybrid nanowires with non-uniform spin-orbit interaction

- Physics
- 2014

We study intragap bound states in the topological phase of a Rashba nanowire in the presence of a magnetic field and with non-uniform spin orbit interaction (SOI) and proximity-induced…

Composite Majorana fermion wave functions in nanowires

- Physics
- 2012

We consider Majorana fermions (MFs) in quasi-one-dimensional nanowire systems containing normal and superconducting sections where the topological phase based on Rashba spin-orbit interaction can be…

Universal transport signatures of Majorana fermions in superconductor-Luttinger liquid junctions

- Physics
- 2012

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…

Majorana Fermions in Semiconductor Nanowires

- Physics
- 2011

We study multiband semiconducting nanowires proximity coupled with an $s$-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field.…

Transport across a junction of topological insulators and a superconductor

- Physics
- 2013

We study transport across a line junction lying between two orthogonal topological insulator surfaces and a superconductor which can have either s-wave (spin-singlet) or p-wave (spin-triplet) pairing…

Majorana fermions in superconducting wires: Effects of long-range hopping, broken time-reversal symmetry, and potential landscapes

- Physics
- 2013

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a one-dimensional p-wave superconductor: those involving (i) longer-range hopping…

Topological Kondo effect in transport through a superconducting wire with multiple Majorana end states.

- Physics, MedicinePhysical review letters
- 2015

It is shown that the renormalization of the tunneling amplitudes belonging to different representations is completely different in that one type is suppressed, whereas the other is enhanced, depending on the sign of the Kondo-type interaction coupling.

Correlations between Majorana fermions through a superconductor.

- Physics, MedicinePhysical review letters
- 2013

It is demonstrated that besides the well-known direct-overlap-induced energy splitting, the two MF bound states may hybridize via elastic tunneling processes through virtual quasiparticle states in the SC, giving rise to an additional energy splitting between MF states from the same as well as from different wires.