Finite-frequency noise in a topological superconducting wire

• Finite-frequency current correlations are studied for a superconducting wire.
• Majorana bound states are allowed at the ends of the wire.
• The wire is attached to two terminals at one of its ends.
• In the topological phase we find vanishing cross-correlations for large frequency.

In this paper we study the finite-frequency current cross-correlations for a topological superconducting nanowire attached to two terminals at one of its ends. Using an analytic 1D model we show that the presence of a Majorana bound state yields vanishing cross-correlations for frequencies larger than twice the applied transport voltage, in contrast to what is found for a zero-energy ordinary Andreev bound state. Zero cross-correlations at high frequency have been confirmed using a more realistic tight-binding model for finite-width topological superconducting nanowires. Finite-temperature effects have also been investigated.