Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions

Abstract

Motivated by recent experiments searching for Majorana fermions (MFs) in hybrid semiconducting-superconducting nanostructures, we consider a realistic tight-binding model and analyze its transport behavior numerically. In particular, we take into account the presence of a superconducting contact, used in real experiments to extract the current, which is usually not included in theoretical calculations. We show that important features emerge that are absent in simpler models, such as the shift in energy of the proximity gap signal, and the enhanced visibility of the topological gap for increased spin-orbit interaction. We find oscillations of the zero bias peak as a function of the magnetic field and study them analytically. We argue that many of the experimentally observed features hint at an actual spin-orbit interaction larger than the one typically assumed. However, even taking into account all the known ingredients of the experiments and exploring many parameter regimes for MFs, we are not able to reach full agreement with the reported data. Thus, a different physical origin for the observed zero-bias peak cannot be excluded.

7 pages, 7 figures; Published version

References in corpus (14)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• To close or not to close: the fate of the superconducting gap across the topological quantum phase transition in Majorana-carrying semiconductor nanowires

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