Transport through a quantum dot coupled to two Majorana bound states

Abstract

We investigate electron transport inside a ring system composed of a quantum dot (QD) coupled to two Majorana bound states confined at the ends of a one-dimensional topological superconductor nanowire. By tuning the magnetic flux threading through the ring, the model system we consider can be switched into states with or without zero-energy modes when the nanowire is in its topological phase. We find that the Fano profile in the conductance spectrum due to the interference between bound and continuum states exhibits markedly different features for these two different situations, which consequently can be used to detect the Majorana zero-energy mode. Most interestingly, as a periodic function of magnetic flux, the conductance shows $2\pi$ periodicity when the two Majorana bound states are nonoverlapping (as in an infinitely long nanowire) but displays $4\pi$ periodicity when the overlapping becomes nonzero (as in a finite length nanowire). We map the model system into a QD--Kitaev ring in the Majorana fermion representation and affirm these different characteristics by checking the energy spectrum.

arXiv comment8 pages, 8 figures

References in corpus (38)

• 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
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• 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
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Majorana fermions in chains of magnetic atoms on a superconductor
• Topological Superconductivity and Superfluidity
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Majorana Fermions in Semiconductor Nanowires
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Non-Abelian operations on Majorana fermions via single charge control
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Detecting the Majorana fermion surface state of ${}^3$He-B through spin relaxation
• Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
• Topological Superfluids with Finite Momentum Pairing and Majorana Fermions
• Non-equilibrium Josephson effect through helical edge states
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Anomalous Josephson current via Majorana bound states in topological insulators
• Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
• Coulomb blockade of Majorana fermion induced transport
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Probing Majorana fermions in spin-orbit coupled atomic Fermi gases
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Inhomogeneous Topological Superfluidity in One-Dimensional Spin-Orbit-Coupled Fermi Gases
• Nonlocal noise cross-correlation mediated by entangled Majorana fermions
• A proposal to probe quantum non-locality of Majorana fermions in tunneling experiments
• Current noise cross correlation mediated by Majorana bound states
• Majorana fermions in spin-orbit coupled ferromagnetic Josephson junctions
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Enhanced current noise correlations in a Coulomb-Majorana device

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• Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Aharonov-Bohm interference as a probe of Majorana fermions
• Phonon-Assisted Tunneling through Quantum Dot Systems Connected to Majorana Bound States
• Influences of electron-phonon interaction on quantum transport through one quantum-dot system with side-coupled Majorana zero mode
• Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
• Majorana Bound States hallmark in a quantum topological interferometer ring
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance