Effect of topological length on Bound states signatures in a Topological nanowire

Abstract

Majorana bound states (MBS) at the end of nanowires have been proposed as one of the most important candidate for the topological qubits. However, similar tunneling conductance features for both the MBS and Andreev bound states (ABS) have turned out to be a major obstacle in the verification of the presence of MBS in semiconductor-superconductor heterostructures. In this article, we use a protocol to probe properties specific to the MBS and use it to distinguish the topological zero-bias peak (ZBP) from a trivial one. For a scenario involving quantized ZBP in the nanowire, we propose a scheme wherein the length of the topological region in the wire is altered. The tunneling conductance signatures can then be utilized to gauge the impact on the energy of the low-energy states. We show that the topological and trivial ZBP behave differently under our protocol, in particular, the topological ZBP remains robust at zero bias throughout the protocol, while the trivial ZBP splits into two peaks at finite bias. This protocol probes the protection of near zero energy states due to their separable nature, allowing us to distinguish between topological and trivial ZBP.

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Cited by in corpus (8)

• Odd-frequency pairing due to Majorana and trivial Andreev bound states
• Anomalous proximity effect under Andreev and Majorana bound states
• Transport of Majorana Bound State in the presence of telegraph noise
• Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
• Signatures of Majorana bound states in scanning gate microscopy of hybrid nanowires
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
• Entanglement entropy as a probe of topological phase transitions
• Absence of Quasi-Majorana False Positives in Full-Shell Hybrid Nanowires