Currents and current correlations in a topological superconducting nanowire beam splitter

Abstract

A beam splitter consisting of two normal leads coupled to one end of a topological superconducting nanowire via double quantum dot is investigated. In this geometry, the linear current cross-correlations at zero temperature change signs versus the overlap between the two Majorana bound states hosted by the nanowire. Under symmetric bias voltages the net current flowing through the nanowire is noiseless. These two features highlight the fermionic nature of such exotic Majorana excitations though they are based on the superconductivity. Moreover, there exists a unique local particle-hole symmetry inherited from the self-Hermitian property of Majorana bound states, which is apparently scarce in other systems. We show that such particular symmetry can be revealed through measuring the currents under complementary bias voltages.

6 pages, 4 figures

References in corpus (8)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Near-unity Cooper pair splitting efficiency
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Current-current correlations in hybrid superconducting and normal metal multiterminal structures
• Current and noise correlations in a double dot Cooper pair beam splitter
• Positive current cross-correlations in a highly transparent normal-superconducting beam splitter due to synchronized Andreev and inverse Andreev reflections

Cited by in corpus (2)

• Thermoelectric-induced unitary Cooper pair splitting efficiency
• Quantum thermodynamic uncertainty relation and macroscopic superconducting coherence