Majorana quasiparticles of inhomogeneous Rashba chain

@inproceedings{Maka2016MajoranaQO,
  title={Majorana quasiparticles of inhomogeneous Rashba chain},
  author={Maciej M Maśka and Anna Gorczyca-Goraj and Jakub Tworzydło and Tadeusz Domański},
  year={2016}
}
We investigate the inhomogeneous Rashba chain coupled to a superconducting substrate, hosting the Majorana quasiparticles near its edges. We discuss its subgap spectrum and study how robust are the zero-energy quasiparticles against the diagonal and off-diagonal disorder. Studying the Z2 topological invariant we show that disorder induced transition from the topologically non-trivial to trivial phases is manifested by characteristic features in the spatially-resolved quasiparticle spectrum at… 

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References

SHOWING 1-10 OF 68 REFERENCES

Search for Majorana fermions in multiband semiconducting nanowires.

The key finding is that multiband occupancy not only lifts the stringent constraint of one-dimensionality but also allows one to have higher carrier density in the nanowire, and as such multisubband nanowires are better suited for observing the Majorana particle.

Majorana fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials.

A topological invariant derived from the equations of motion for Majorana modes is defined and employed to characterize the phase diagram for simple periodic structures and its general result is a relation between the normal state localization length.

Interacting topological phases in multiband nanowires

We show that semiconductor nanowires coupled to an s-wave superconductor provide a playground to study effects of interactions between different topological superconducting phases supporting Majorana

Disorder-induced topological transitions in multichannel Majorana wires

In this work, we investigate the effect of disorder on the topological properties of multichannel superconductor nanowires. While the standard expectation is that the spectral gap is closed and

Majorana fermions and a topological phase transition in semiconductor-superconductor heterostructures.

The measurement of the supercurrent through the junction allows one to discern topologically distinct phases and observe a topological phase transition by simply changing the in-plane magnetic field or the gate voltage, which will be a direct demonstration of the existence of Majorana particles.

Composite Majorana fermion wave functions in nanowires

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

Strong localization of Majorana end States in chains of magnetic adatoms.

This work considers a linear chain of Anderson impurities on a superconductor as a minimal model and treats it largely analytically within mean-field theory, exploring the phase diagram, the subgap excitation spectrum, and the Majorana wave functions.

Probability distribution of Majorana end-state energies in disordered wires.

It is shown that the probability distribution of ε(0) is log normal in the limit of large L, whereas the distribution of the lowest-lying bulk energy levelε(1) has an algebraic tail at small δ(1), which has implications for the speed at which a topological quantum computer can be operated.

ac Josephson effect in finite-length nanowire junctions with Majorana modes.

The ac Josephson transients are protected against decay by quasiparticle poisoning as a consequence of the quantum Zeno effect, which fixes the parity of Majorana qubits, and may be effectively used to detect MBS.

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

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
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