Majorana correlations in quantum impurities coupled to a topological wire

Abstract

In this work we investigate Majorana correlations in quantum impurities coupled to a topological superconducting wire. By employing a density matrix renormalization group approach, we have calculated the Majorana correlation functions in the ground state of the system for different positions of the impurities along the wire. We observe that the correlations decreases exponentially with the distance between the impurities and the ends of the wire. Moreover, different electron-electron interactions on the wire and on the impurities were also analyzed, and the results showed a stronger effect as the electron occupation in the wire is increased. Moreover, changing the occupation of the impurities by tuning their energy levels, we observe that for specific values of $\epsilon$ the absolute value of correlation is highly peaked when the chemical potential lies within the window of the topological regime. These peaks are associated to coulomb blockade phenomena in the impurities, revealing very clearly its effect on the Majorana bound states in the topological phase of the system.

arXiv comment8 pages, 7 figures. This is the version accepted in PRB, before proof corrections

References in corpus (42)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Topological superconductors: a review
• Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• The ITensor Software Library for Tensor Network Calculations
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Ballistic Majorana nanowire devices
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Subtle leakage of a Majorana mode into a quantum dot
• Opportunities in topological insulator devices
• Non-Majorana Origin of the Half-Quantized Conductance Plateau in Quantum Anomalous Hall Insulator and Superconductor Hybrid Structures
• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Andreev rectifier: a nonlocal conductance signature of topological phase transitions
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• On controlling the bound states in quantum-dot hybrid-nanowire
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
• Spin-orbital effects in magnetized quantum wires and spin chains
• Correlations between Majorana fermions through a superconductor
• Spin-polarized Yu-Shiba-Rusinov states in an iron based superconductor
• Weak measurement protocols for Majorana bound state identification
• Majorana bound states in semiconducting nanostructures
• Andreev Transport through Side-Coupled Double Quantum Dots
• Exact solution to an interacting dimerized Kitaev model at symmetric point
• Characterization of topological phases of modified dimerized Kitaev chain via edge correlation functions
• Spin-orbit induced spin-density wave in a quantum wire
• Transport in Carbon Nanotubes: 2LSU(2) regime reveals subtle competition between Kondo and Intermediate Valence states
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
• Capacitively coupled double quantum dot system in the Kondo regime
• Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope
• Majorana Entanglement Bridge
• Andreev and Majorana bound states in single and double quantum dot structures
• Thermal conductance as a probe of the non-local order parameter for a topological superconductor with gauge fluctuations
• Spin-Pairing Correlations and Spin Polarization of Majorana Bound States in Two-Dimensional Topological Insulator Systems
• End-to-end correlations in the Kitaev chain

Cited by in corpus (5)

• Transient effects in quantum dots contacted via topological superconductor
• Signatures of Kondo-Majorana interplay in ac response
• Spin orbit interaction in nanotubes
• Quantum dot detects Majorana modes of both chiralities
• Sticking coefficient for atoms impinging on a metallic surfaces, and the x-ray photoemission by metals