Cross-correlation mediated by Majorana island with finite charging energy
arXiv:2108.12778 · doi:10.1088/1367-2630/ac3efc
Abstract
Based on the many-particle-number-state treatment for transport through a pair of Majorana zero modes (MZMs) which are coupled to the leads via two quantum dots, we identify that the reason for zero cross correlation of currents at uncoupling limit between the MZMs is from a degeneracy of the teleportation and the Andreev process channels. We then propose a scheme to eliminate the degeneracy by introducing finite charging energy on the Majorana island which allows for coexistence of the two channels. We find nonzero cross correlation established even in the Majorana uncoupling limit (and also in the small charging energy limit), which demonstrates well the teleportation or nonlocal nature of the MZMs. More specifically, the characteristic structure of coherent peaks in the power spectrum of the cross correlation is analyzed to identify the nonlocal and coherent coupling mechanism between the MZMs and the quantum dots. We also display the behaviors of peak shift with variation of the Majorana coupling energy, which can be realized by modulating parameters such as the magnetic field.
arXiv comment10 pages, 6 figures
References in corpus (48)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Search for Majorana fermions in superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Majorana Zero Modes and Topological Quantum Computation
- Exponential Protection of Zero Modes in Majorana Islands
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Majorana Fermion Induced Resonant Andreev Reflection
- Introduction to topological superconductivity and Majorana fermions
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Tunneling characteristic of a chain of Majorana bound states
- Splitting of a Cooper pair by a pair of Majorana bound states
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- Scaling of Majorana Zero-Bias Conductance Peaks
- Electron Teleportation via Majorana Bound States in a Mesoscopic Superconductor
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
- Quantum point contact as a probe of a topological superconductor
- Next steps of quantum transport in Majorana nanowire devices
- Quantum master equation approach to quantum transport through mesoscopic systems
- Towards realistic implementations of a Majorana surface code
- Modulation of Majorana-Induced Current Cross-Correlations by Quantum Dots
- Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
- Conductance-matrix symmetries of a three-terminal hybrid device
- Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
- Nonlocal conductance spectroscopy of Andreev bound states: Symmetry relations and BCS charges
- Testable signatures of quantum non-locality in a two-dimensional chiral p-wave superconductor
- Majorana Fermion Induced Non-local Current Correlations in Spin-orbit Coupled Superconducting Wires
- Weak measurement protocols for Majorana bound state identification
- Conductance of a superconducting Coulomb blockaded Majorana nanowire
- Nonlocal noise cross-correlation mediated by entangled Majorana fermions
- Dynamics of Majorana-based qubits operated with an array of tunable gates
- Transport properties of the Coulomb-Majorana junction
- Protocol to identify a topological superconducting phase in a three-terminal device
- Crossover between trivial zero modes in Majorana nanowires
- Phase-tunable Majorana bound states in a topological N-SNS junction
- Majorana-assisted nonlocal electron transport through a floating topological superconductor
- Fingerprints of Majorana fermions in current-correlations measurements from a superconducting tunnel microscope
- Extrinsic anomalous Hall conductivity of a topologically nontrivial conduction band
- Transport Signatures of a Majorana Qubit and Read-out-induced Dephasing
- Quantum charge fluctuations of a proximitized nanowire
- Transport properties of Majorana bound states networks in the Coulomb blockade regime