Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
arXiv:2303.12586 · doi:10.3390/nano13101616
Abstract
We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of experimentally relevant parameters, in the presence of one long-wave optical phonon mode. We consider the current-gate voltage, the current-bias voltage and the current-dot-Majorana coupling characteristics under the influence of the electron-phonon coupling. In the absence of electron-phonon interaction, the Majorana bound states suppress the current when the gate voltage matches the Fermi level, but the increase in the bias voltage counteracts this effect. In the presence of electron-phonon coupling, the current behaves similarly as a function of the renormalized gate voltage. As an added feature at large bias voltages, it presents a dip or a plateau, depending on the size of the dot-Majorana coupling. Lastly, we show that the currents are most sensitive to, and depend non-trivially on the parameters of the Majorana circuit element, in the regime of low temperatures combined with low voltages. Our results provide insights into the complex physics of quantum dot devices used to probe Majorana bound states.
arXiv comment10 pages, 6 figures
References in corpus (52)
- 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
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Spin-resolved Andreev levels and parity crossings in hybrid superconductor-semiconductor nanostructures
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
- Edge modes, edge currents, and gauge invariance in superfluids and superconductors
- 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
- Subtle leakage of a Majorana mode into a quantum dot
- 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
- Thermoelectrical detection of Majorana states
- Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
- Thermoelectric signatures of a Majorana bound state coupled to a quantum dot
- Heat generation by electric current in mesoscopic devices
- Hybrid Double Quantum Dots: Normal, Superconducting, and Topological Regimes
- Nonlocal noise cross-correlation mediated by entangled Majorana fermions
- Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
- Photon Assisted Tunneling of Zero Modes in a Majorana Wire
- The electron transport through a quantum dot in the Coulomb blockade regime: Non-equilibrium Green's functions based model
- Current noise cross correlation mediated by Majorana bound states
- Cross thermoelectric coupling in normal-superconductor quantum dots
- Interplay between direct and crossed Andreev reflections in hybrid nano-structures
- Transport through a quantum dot coupled to two Majorana bound states
- Majorana ensembles with fractional entropy and conductance in nanoscopic systems
- Probing the Antisymmetric Fano Interference Assisted by a Majorana Fermion
- Majorana mode leaking into a spin-charge entangled double quantum dot
- Interaction induced hybridization of Majorana zero-modes in a coupled quantum-dot hybrid-nanowire system
- Kondo effect in quantum dots coupled to ferromagnetic leads with noncollinear magnetizations: effects due to electron-phonon coupling
- Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
- Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer
- Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system
- Phonon-Assisted Andreev Reflection at Majorana Zero Mode
- Reshaping the Jaynes-Cummings ladder with Majorana bound states
- Nonequilibrium Kondo effect in a graphene-coupled quantum dot in the presence of a magnetic field
- 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
- Interplay between Coulomb blockade and Josephson effect in a topological superconductor-quantum dot device