Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure

Abstract

Zero--energy Majorana quasiparticles can be induced at the edge of a low dimensional systems. Non--Abelian statistics of this state makes it a good candidate for the realization of quantum computing. From the practical point of view, it is crucial to obtain an intentional creation and manipulation of this type of bound states. Here, we show such a possibility in a setup of quantum nanoring in which we specify a quantum dot region via electrostatic means. States in such quantum dot can lead to the emergence of Andreev and Majorana bound states in investigated system. We study the differences between those bound states and the possibility of their manipulation. Moreover, exact calculation method for spectral function has been proposed, which can be used to discuss the bound states influence on band structure of proposed system. Using this method, it can be shown that the Majorana bound states, induced at the edge of the system, present themselves as a dispersionless zero--energy band.

11 pages, 10 figures

References in corpus (43)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• 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 Ferromagnetic Atomic Chains on a Superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Scaling of Majorana Zero-Bias Conductance Peaks
• Hard gap in epitaxial semiconductor-superconductor nanowires
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• Distinguishing a Majorana zero mode using spin resolved measurements
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number
• On controlling the bound states in quantum-dot hybrid-nanowire
• Quantifying wave-function overlaps in inhomogeneous Majorana nanowires
• Distinguishing Majorana bound states from localized Andreev bound states by interferometry
• Andreev spectrum and supercurrents in nanowire-based SNS junctions containing Majorana bound states
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Disorder enabled band structure engineering of a topological insulator surface
• Hybrid InAs nanowire-vanadium proximity SQUID
• Enhanced ultrafast relaxation rate in the Weyl semimetal phase of $\mathbf{MoT}{\mathbf{e}}_2$ measured by time-and angle-resolved photoelectron spectroscopy
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• The One-Particle Spectral Function and the Local Density of States in a Phenomenological Mixed-Phase Model for High-Temperature Superconductors
• Spin-polarized Andreev tunneling through the Rashba chain
• Optimizing the Majorana character of SQUIDs with topologically non-trivial barriers
• Control and detection of Majorana bound states in quantum dot arrays
• Quasiparticle gaps in multiprobe Majorana nanowires
• Viewing Majorana Bound States by Rabi Oscillations
• Andreev and Majorana bound states in single and double quantum dot structures

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• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Dimerization-induced topological superconductivity in a Rashba nanowire
• Influence of long-range interaction on Majorana zero modes
• Majorana phase-gate based on the geometric phase
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
• Majorana bound states and zero-bias conductance peaks in superconductor/semiconductor nanowire devices
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method