On controlling the bound states in quantum-dot hybrid-nanowire

Abstract

Recent experiments using the quantum dot coupled to the topological superconducting nanowire [M.T. Deng et al., Science 354, 1557 (2016)}] revealed that zero-energy bound state coalesces from the Andreev bound states. Such quasiparticle states, present in the quantum dot, can be controlled by the magnetic and electrostatic means. We use microscopic model of the quantum-dot--nanowire structure to reproduce the experimental results, applying the Bogoliubov--de~Gennes technique. This is done by studying the gate voltage dependence of the various types of bound states and mutual influence between them. We show that the zero energy bound states can emerge from the Andreev bound states in topologically trivial phase and can be controlled using various means. In non-trivial topological phase we show the possible resonance between this zero energy levels with Majorana bound states. We discuss and explain this phenomena as a result of dominant spin character of discussed bound states. Presented results can be applied in experimental studies by using the proposed nanodevice.

17 pages, 19 figures

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Cited by in corpus (9)

• Majorana Fermions in Magnetic Chains
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Influence of long-range interaction on Majorana zero modes
• Majorana phase-gate based on the geometric phase
• Weyl points in systems of multiple semiconductor-superconductor quantum dots