Majorana zero modes choose Euler numbers - revealed by full counting statistics
arXiv:1503.00776 · doi:10.1103/PhysRevB.92.205422
Abstract
We study transport properties of a quantum dot coupled to a Majorana zero mode and two normal leads. We investigate the full counting statistics of charge tunneling events which allows one to extract complete information about current fluctuations. Using a Keldysh path-integral approach, we compute the cumulant generating function. We first consider a noninteracting spinless regime, and find that for the symmetric dot-lead couplings, the zero-frequency cumulants exhibit a universal pattern of Euler numbers, independent of the microscopic parameters. For a spinful case, the Coulomb interaction effects are discussed for both strong interaction (single-electron occupancy regime) and weak interactions (perturbative regime). Compared to the case without Majorana coupling, we show that, while the tunneling conductance might exhibit zero-bias anomaly, the full counting statistics is qualitatively different in the presence of the Majorana coupling.
20 pages, 7 figures
References in corpus (29)
- 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
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Majorana Zero Modes and Topological Quantum Computation
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Electrically detected interferometry of Majorana fermions in a topological insulator
- Quantum Noise as an Entanglement Meter
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
- Universal oscillations in counting statistics
- Full counting statistics of super-Poissonian shot noise in multi-level quantum dots
- Counting statistics of transport through Coulomb blockade nanostructures: High-order cumulants and non-Markovian effects
- Probing Majorana Physics in Quantum Dot Shot Noise Experiments
- Parity independence of the zero-bias conductance peak in a nanowire based topological superconductor-quantum dot hybrid device
- Full counting statistics for the Kondo dot in the unitary limit
- Detection of non-Gaussian Fluctuations in a Quantum Point Contact
- Full-counting statistics for molecular junctions: Fluctuation theorem and singularities
- Nonlinear effects of phonon fluctuations on transport through nanoscale junctions
- Full Counting Statistics of Interacting Electrons
- Full counting statistics for the Kondo dot
- Full Counting Statistics for a Single-Electron Transistor, Non-equilibrium Effects at Intermediate Conductance
- Factorization of quantum charge transport for non-interacting fermions
- Fractional Josephson Effect in Number-Conserving Systems
- Full counting statistics of spin transfer through the Kondo dot
- Nonequilibrium noise and current fluctuations at the superconducting phase transition
Cited by in corpus (26)
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
- Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors
- Universal Majorana thermoelectric noise
- Majorana finite frequency nonequilibrium quantum noise
- Dynamic Majorana resonances and universal symmetry of nonequilibrium thermoelectric quantum noise
- Nonequilibrium Majorana fluctuations
- Crossed Andreev reflection in spin-polarized chiral edge states due to the Meissner effect
- Majorana entropy revival via tunneling phases
- Majorana ensembles with fractional entropy and conductance in nanoscopic systems
- Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
- Majorana molecules and their spectral fingerprints
- Majorana differential shot noise and its universal thermoelectric crossover
- Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
- Entanglement measures of Majorana bound states
- Dual Majorana universality in thermally induced nonequilibrium
- Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
- Calculations of in-gap states of ferromagnetic spin chains on \textit{s}-wave wide-band superconductors
- Quantized spin pumping in topological ferromagnetic-superconducting nanowires
- Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
- Thermoelectric fluctuations of interfering Majorana bound states
- Multi-locational Majorana Zero Modes
- Super-Poissonian noise from quasiparticle poisoning in electron transport through a pair of Majorana bound states
- Fluctuation response of a minimal Kitaev chain in nonequilibrium states
- Creating and detecting poor man's Majorana bound states in interacting quantum dots
- Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases