Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires

Abstract

Majorana modes emerge in non-trivial topological phases at the edges of some specific materials, like proximitized semiconducting nanowires under a external magnetic field. Ideally, they are non-local states that are charge neutral superpositions of electrons and holes. However, in nanowires of realistic length their wave functions overlap and acquire a finite charge that, under certain circumstances, makes them susceptible to interactions, specifically with the image charges that arise in the electrostatic environment. Considering a realistic three-dimensional model of the dielectric surroundings, here we show that this interaction leads to a suppression of the Majorana oscillations predicted by simpler theoretical models, and to the formation of low-energy quantum dot states that interact with the Majorana modes. Both features are observed in recent experiments on the detection of Majoranas and could thus help to properly characterize them.

15 pages, 9 figures. Published version

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• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Tunable proximity effects and topological superconductivity in ferromagnetic hybrid nanowires
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Effects of the electrostatic environment on superlattice Majorana nanowires
• Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
• Mitigating disorder-induced zero-energy states in weakly-coupled semiconductor-superconductor hybrid systems
• Improved effective equation for the Rashba spin-orbit coupling in semiconductor nanowires
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
• Majorana bound states in encapsulated bilayer graphene
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• The influence of the Majorana non-locality on the supercurrent
• Josephson effect and critical currents in trivial and topological full-shell hybrid nanowires
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Transport features of a topological superconducting nanowire with a quantum dot: conductance and noise
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Majorana bound states in topological insulators with hidden Dirac points
• Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate
• Long-range crossed Andreev reflection in topological insulator nanowires proximitized by a superconductor
• Fraunhofer pattern in the presence of Majorana zero modes
• Non-Equilibrium Charge Dynamics in Majorana-Josephson Devices
• Majorana bound states and zero-bias conductance peaks in superconductor/semiconductor nanowire devices
• A unified numerical approach to semiconductor-superconductor heterostructures
• Orbital-free approach for large-scale electrostatic simulations of quantum nanoelectronics devices
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices