Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires

Title Majorana fermion induced nonlocal current correlations in spin- orbit coupled superconducting wires

Majorana zero modes in one-dimensional quantum wires without long-ranged superconducting order

We show that long-ranged superconducting order is not necessary to guarantee the existence of Majorana fermion zero modes at the ends of a quantum wire. We formulate a concrete model, which applies, for instance, to a semiconducting quantum wire with strong spin-orbit coupling and Zeeman splitting coupled to a wire with algebraically decaying superconducting fluctuations. We solve this model by...

Robustness of Majorana fermion induced fractional Josephson effect in multichannel superconducting wires

It has been shown previously that the coupling between two Majorana end states in single-channel superconducting quantum wires leads to the fractional Josephson effect. However, in realistic experimental conditions, multiple bands of the wires are occupied and the Majorana end states are accompanied by other fermionic end states. This raises the question concerning the robustness of the fractio...

Majorana fermions in topological superconductors with spin-orbit interaction

When a topological order is realized in a certain class of superconductors, it supports Majorana fermions on the edge or in the vortex core. Vortices with Majorana fermion modes are neither fermions nor bosons but non-Abelian anyons, obeying the non-Abelian statistics for which the exchange operations of particles are not commutative. Because of this remarkable feature, Majorana fermions plays ...

Inducing time-reversal-invariant topological superconductivity and fermion parity pumping in quantum wires.

We propose a setup to realize time-reversal-invariant topological superconductors in quantum wires, proximity coupled to conventional superconductors. We consider a model of quantum wire with strong spin-orbit coupling and proximity coupling to two s-wave superconductors. When the relative phase between the two superconductors is ϕ=π a Kramers pair of Majorana zero modes appears at each edge of...