Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction

Abstract

We theoretically study quantum transport through a quantum dot coupled to Majorana bound states confined at the ends of a topological superconducting nanowire. The topological superconductor forms a loop and is threaded by a tunable magnetic flux, which allows one to control the electron transport in the system. In particular, we investigate phonon-assisted transport properties in the device when the central quantum dot interacts with a single long-wave optical phonon mode. We find that when the two Majorana bound states are unhybridized, the zero-temperature linear conductance has a $2\pi$ periodicity as a function of magnetic flux phase, independent of the electron-phonon interaction, the quantum dot energy, or the finite values of dot-Majorana couplings. For a finite overlap between the Majorana bound states, the linear conductance periodicity generally changes to $4\pi$ either due to a finite electron-phonon coupling strength, or a dot energy level that is tuned away from the Fermi level. Additionally, the differential conductance periodicity changes from $2\pi$ to $4\pi$ when the Majorana bound states hybridize and the electron-phonon coupling is finite. Our results provide insight into transport signatures expected in topological quantum computational platforms that integrate quantum dots as a means for Majorana qubit readout. The energy exchange with an environmental bath, here a single phonon mode, significantly alters the current signatures expected from Majorana modes.

arXiv comment30 pages, 22 figures

References in corpus (115)

• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Search for Majorana fermions in superconductors
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana Fermion Induced Resonant Andreev Reflection
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Evidence for Majorana bound state in an iron-based superconductor
• Tunneling characteristic of a chain of Majorana bound states
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Splitting of a Cooper pair by a pair of Majorana bound states
• Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Ballistic Majorana nanowire devices
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Majorana qubit decoherence by quasiparticle poisoning
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Epitaxy of Advanced Nanowire Quantum Devices
• Non-Abelian operations on Majorana fermions via single charge control
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Ballistic superconductivity in semiconductor nanowires
• Experimental Phase Diagram of a One-Dimensional Topological Superconductor
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Quantized zero bias conductance plateau in semiconductor-superconductor heterostructures without non-Abelian Majorana zero modes
• Subtle leakage of a Majorana mode into a quantum dot
• Unconventional Josephson signatures of Majorana bound states
• Andreev reflection from non-centrosymmetric superconductors and Majorana bound state generation in half-metallic ferromagnets
• Effects of electron-phonon interaction on non-equilibrium transport through single-molecule transistor
• Theory of Current and Shot Noise Spectroscopy in Single-Molecular Quantum Dots with Phonon Mode
• Failure of protection of Majorana based qubits against decoherence
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Modulation of Majorana-Induced Current Cross-Correlations by Quantum Dots
• Majorana Fermions: The race continues
• Superconducting proximity effect in interacting double-dot systems
• Decay rates for topological memories encoded with Majorana fermions
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Thermoelectrical detection of Majorana states
• Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
• On the applicability of the equations-of-motion technique for quantum dots
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Dephasing of Majorana-based qubits
• Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires
• Decoherence of Majorana qubits by noisy gates
• Current and noise correlations in a double dot Cooper pair beam splitter
• Majorana braiding with thermal noise
• Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
• Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems
• Interplay between Kondo and Majorana interactions in quantum dots
• Nonlocal thermoelectricity in a Cooper-pair splitter
• Hybrid Double Quantum Dots: Normal, Superconducting, and Topological Regimes
• Cooling by Cooper pair splitting
• Nonlocal noise cross-correlation mediated by entangled Majorana fermions
• Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
• Anderson Model out of equilibrium: decoherence effects in transport through a quantum dot
• Majorana qubit rotations in microwave cavities
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Resonant and inelastic Andreev tunneling observed on a carbon nanotube quantum dot
• Detecting Majorana fermions by nonlocal entanglement between quantum dots
• Microwave-controlled coupling of Majorana bound states
• Current noise cross correlation mediated by Majorana bound states
• Ground-State Cooling of a Mechanical Oscillator by Interference in Andreev Reflection
• Linear and non-linear transport across a finite Kitaev chain: an exact analytical study
• Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
• Cross thermoelectric coupling in normal-superconductor quantum dots
• Adiabatic pumping in a double-dot Cooper-pair beam splitter
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Cross-correlations mediated by Majorana bound states
• Interplay between direct and crossed Andreev reflections in hybrid nano-structures
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Thermoelectric-induced unitary Cooper pair splitting efficiency
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Manipulating Majorana zero modes in double quantum dots
• Transport through a quantum dot coupled to two Majorana bound states
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• Probing the Antisymmetric Fano Interference Assisted by a Majorana Fermion
• Kondo effect in quantum dots coupled to ferromagnetic leads with noncollinear magnetizations: effects due to electron-phonon coupling
• Fano effect and Andreev bound states in T-shape double quantum dots
• Novel non-local effects in three-terminal hybrid devices with quantum dot
• Enhanced current noise correlations in a Coulomb-Majorana device
• Andreev and Majorana bound states in single and double quantum dot structures
• Effects of decoherence on diabatic errors in Majorana braiding
• Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer
• Fano-Andreev effect in T-shape double-quantum-dot in the Kondo regime
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Role of dephasing on the conductance signatures of Majorana zero modes
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Phonon-Assisted Andreev Reflection at Majorana Zero Mode
• Replicas of the Fano resonances induced by phonons in a subgap Andreev tunneling
• Enhancements of Andreev conductance induced by the photon/vibron scattering
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Nonequilibrium Kondo effect in a graphene-coupled quantum dot in the presence of a magnetic field
• Electron-boson-interaction induced particle-hole symmetry breaking of conductance into subgap states in superconductors
• Thermoelectric transport through a finite-$U$ quantum dot side-coupled to Majorana bound state
• Inelastic Kondo-Andreev tunnelings in a vibrating quantum dot
• Transport Through a Quantum Dot with Electron-Phonon Interaction
• Influences of electron-phonon interaction on quantum transport through one quantum-dot system with side-coupled Majorana zero mode
• Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
• Interplay between Coulomb blockade and Josephson effect in a topological superconductor-quantum dot device

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• Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
• Continuous unitary transformation approach to the Kondo-Majorana interplay
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