Spin-dependent coupling between quantum dots and topological quantum wires

Abstract

Considering Rashba quantum wires with a proximity-induced superconducting gap as physical realizations of Majorana fermions and quantum dots, we calculate the overlap of the Majorana wave functions with the local wave functions on the dot. We determine the spin-dependent tunneling amplitudes between these two localized states and show that we can tune into a fully spin polarized tunneling regime by changing the distance between dot and Majorana fermion. Upon directly applying this to the tunneling model Hamiltonian, we calculate the effective magnetic field on the quantum dot flanked by two Majorana fermions. The direction of the induced magnetic field on the dot depends on the occupation of the nonlocal fermion formed from the two Majorana end states which can be used as a readout for such a Majorana qubit.

18 pages, 11 figures

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Cited by in corpus (44)

• Majorana splitting from critical currents in Josephson junctions
• 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
• Majorana Fermions in Magnetic Chains
• Readout of Majorana Qubits
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• The Majorana spin in magnetic atomic chain systems
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Spectroscopy of the superconducting proximity effect in nanowires using integrated quantum dots
• Majorana-Kondo interplay in T-shaped double quantum dots
• Parity-to-charge conversion for readout of topological Majorana qubits
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Manipulating Majorana zero modes in double quantum dots
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Suppression of odd-frequency pairing by phase-disorder in a nanowire coupled to Majorana zero modes
• Majorana mode leaking into a spin-charge entangled double quantum dot
• Coupled superconducting spin qubits with spin-orbit interaction
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Josephson effect in junctions of conventional and topological superconductors
• Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover
• Superconducting Quantum Interference in Edge State Josephson Junctions
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Topological isoconductance signatures in Majorana nanowires
• Properties of the Majorana-state tunneling Josephson junction mediated by an interacting quantum dot
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Transverse profile and 3D spin canting of a Majorana state in carbon nanotubes
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Fabry-Perot superconducting diode
• Bound states in the continuum poisoned by Majorana fermions
• Readout of Majorana bound states via Landau-Zener transition
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Transient effects in quantum dots contacted via topological superconductor
• Spin selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowire
• Nonlocal correlations transmitted between quantum dots via short topological superconductor
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Proximity-induced zero-energy states indistinguishable from topological edge states
• Quantum dot coupled to topological insulators: The role of edge states
• Interplay between pairing and correlations in spin-polarized bound states
• Exactly solvable Majorana-Anderson impurity models
• Quantum computation with hybrid parafermion-spin qubits
• Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario