Topological Phase Detection in Rashba Nanowires with a Quantum Dot

Abstract

We study theoretically the detection of the topological phase transition occurring in Rashba nanowires with proximity-induced superconductivity using a quantum dot. The bulk states lowest in energy of such a nanowire have a spin polarization parallel or antiparallel to the applied magnetic field in the topological or trivial phase, respectively. We show that this property can be probed by the quantum dot created at the end of the nanowire by external gates. By tuning one of the two spin-split levels of the quantum dot to be in resonance with nanowire bulk states, one can detect the spin polarization of the lowest band via transport measurement. This allows one to determine the topological phase of the Rashba nanowire independently of the presence of Majorana bound states.

References in corpus (77)

• Fault-tolerant quantum computation by anyons
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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
• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Majorana fermions in a tunable semiconductor device
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Majorana fermions in chains of magnetic atoms on a superconductor
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Topological superconducting phase in helical Shiba chains
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Kondo effect in an integer-spin quantum dot
• Splitting of a Cooper pair by a pair of Majorana bound states
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Self-Organized Topological State with Majorana Fermions
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Distinguishing a Majorana zero mode using spin resolved measurements
• Josephson and Andreev transport through quantum dots
• Spin and Majorana polarization in topological superconducting wires
• Measuring Majorana non-locality and spin structure with a quantum dot
• Composite Majorana Fermion Wavefunctions in Nanowires
• Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
• Subtle leakage of a Majorana mode into a quantum dot
• Adiabatic manipulations of Majorana fermions in a three-dimensional network of quantum wires
• Spin dynamics in InAs-nanowire quantum-dots coupled to a transmission line
• Transition from fractional to Majorana fermions in Rashba nanowires
• Majorana states in helical Shiba chains and ladders
• Dynamical detection of Majorana fermions in current-biased nanowires
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Scheme to measure Majorana fermion lifetimes using a quantum dot
• Modulation of Majorana-Induced Current Cross-Correlations by Quantum Dots
• Majorana bound states and non-local spin correlations in a quantum wire on an unconventional superconductor
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• On controlling the bound states in quantum-dot hybrid-nanowire
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Majorana Fermions in Ge/Si Hole Nanowires
• Current and noise correlations in a double dot Cooper pair beam splitter
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• Spin-dependent coupling between quantum dots and topological quantum wires
• Supercurrent interference in few-mode nanowire Josephson junctions
• Spin and Charge Signatures of Topological Superconductivity in Rashba Nanowires
• Metal-Quantum Dot-Topological Superconductor Junction: Kondo correlations and Majorana Bound States
• Cavity quantum electrodynamics with mesoscopic topological superconductors
• Tomography of Majorana Fermions with STM Tips
• Electron transport in multiterminal networks of Majorana bound states
• Non-equilibrium supercurrent through a quantum dot: current harmonics and proximity effect due to a normal metal lead
• Detecting Topological Superconductivity with ${\phi }_0$ Josephson Junctions
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Encrypting Majorana Fermions-qubits as Bound States in the Continuum
• Decay of bound states in the continuum of Majorana fermions induced by vacuum fluctuations: Proposal of qubit technology
• Majorana dc Josephson current mediated by a quantum dot
• Probing Majorana-like states in quantum dots and quantum rings
• Unveiling Majorana Quasiparticles by a Quantum Phase Transition: Proposal of a Current Switch
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• Skyrmion spin texture in ferromagnetic semiconductor-superconductor heterostructures
• Zero-energy bound state at the interface between an $s$-wave superconductor and a disordered normal metal with repulsive electron-electron interactions

Cited by in corpus (39)

• Nonlocality of Majorana Modes in Hybrid Nanowires
• Majorana nanowires for topological quantum computation
• On controlling the bound states in quantum-dot hybrid-nanowire
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Majorana Fermions in Magnetic Chains
• Majorana bound states in semiconducting nanostructures
• Parity protected superconducting diode effect in topological Josephson junctions
• Trivial Andreev band mimicking topological bulk gap reopening in the non-local conductance of long Rashba nanowires
• Braiding Majorana zero modes using quantum dots
• The Majorana spin in magnetic atomic chain systems
• Magnetic field independent sub-gap states in hybrid Rashba nanowires
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Spectroscopy of the superconducting proximity effect in nanowires using integrated quantum dots
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Identification of topological superconductivity in magnetic impurity systems using bulk spin-polarization
• Quadrupole spin polarization as signature of second-order topological superconductors
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Highly symmetric and tunable tunnel couplings in InAs/InP nanowire heterostructure quantum dots
• Experimental review on Majorana zero-modes in hybrid nanowires
• Topological isoconductance signatures in Majorana nanowires
• Influence of long-range interaction on Majorana zero modes
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Probing Majorana zero modes by measuring transport through an interacting magnetic impurity
• Spin-resolved spectroscopy using a quantum dot defined in InAs 2DEG
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• Majorana bound states in topological insulators with hidden Dirac points
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Interplay between pairing and correlations in spin-polarized bound states
• Quantum dot detects Majorana modes of both chiralities