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.

30 pages, 22 figures

References in corpus (37)

• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Introduction to topological superconductivity and Majorana fermions
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Transport spectroscopy of NS nanowire junctions with Majorana fermions
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• Franck-Condon blockade in suspended carbon nanotube quantum dots
• Majorana qubit decoherence by quasiparticle poisoning
• Tunneling in suspended carbon nanotubes assisted by longitudinal phonons
• Ballistic superconductivity in semiconductor nanowires
• Majorana Fermions: The race continues
• Superconducting proximity effect in interacting double-dot systems
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Decoherence of Majorana qubits by noisy gates
• Current and noise correlations in a double dot Cooper pair beam splitter
• 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
• Microwave-controlled coupling of Majorana bound states
• Current noise cross correlation mediated by Majorana bound states
• Cross thermoelectric coupling in normal-superconductor quantum dots
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• 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
• Enhanced current noise correlations in a Coulomb-Majorana device
• Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer
• Andreev and Majorana bound states in single and double quantum dot structures
• Effects of decoherence on diabatic errors in Majorana braiding
• Role of dephasing on the conductance signatures of Majorana zero modes
• Full counting statistics of phonon-assisted Andreev tunneling through a quantum dot coupled to normal and superconducting leads
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Transport Through a Quantum Dot with Electron-Phonon Interaction

Cited by in corpus (7)

• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Fractionalization of Majorana-Ising-type quasiparticles
• A semiclassical nonequilibrium Green's Function approach to electron transport in systems exhibiting electron-phonon couplings
• Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
• Continuous unitary transformation approach to the Kondo-Majorana interplay
• Design Principles for Enhanced Quantum Transport with Site-Dependent Noise