Fano Resonances in Majorana Bound States - Quantum Dot Hybrid Systems

Abstract

We consider a quantum wire, containing two Majorana bound states (MBS) at its ends that are coupled to a current lead on one side and to a quantum dot (QD) on the other side. Using the method of full counting statistics we calculate the conductance and the zero-frequency noise. Using an effective low-energy model, we analyze in detail the Andreev reflection probability as a function of the various system parameters and show that it exhibits a Fano resonance (FR) line shape in the case of a weakly coupled QD as a function of the QD energy level when the two MBS overlap. The asymmetry parameter changes sign as the bias voltage is tuned through the MBS overlap energy. The FR is mirrored as a function of the QD level energy as long as tunneling to the more distant MBS is negligible. However, if both MBS are coupled to the lead and the QD, the height as well as the asymmetry of the line shapes cease to respect this symmetry. These two exclusive cases uniquely distinguish the coupling to a MBS from the coupling to a fermionic bound state that is shared between the two MBS. We complement the analysis by employing a discretized one-dimensional p-wave superconductor (Kitaev chain) for the quantum wire and show that the features of the effective low-energy model are robust towards a more complete Hamiltonian and also persist at finite temperature.

10 pages, 7 figures; minor changes, references updated

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• 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
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Measuring Majorana non-locality and spin structure with a quantum dot
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Probing the Antisymmetric Fano Interference Assisted by a Majorana Fermion

Cited by in corpus (37)

• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Measuring Majorana non-locality and spin structure with a quantum dot
• Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
• Majorana nanowires for topological quantum computation
• An experimentally accessible quality factor for Majorana wires
• Spin-dependent zero-bias peak in a hybrid nanowire-quantum dot system: Distinguishing isolated Majorana fermions from Andreev bound states
• Braiding Majorana zero modes using quantum dots
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Majorana oscillations modulated by Fano interference and dregree of non-locality in a topological superconducting nanowire-quantum dot system
• Interaction-induced zero-energy pinning and quantum dot formation in Majorana nanowires
• Tuning of heat and charge transport by Majorana fermions
• Topological superconductivity and Majorana states in low-dimensional systems
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Enhancement of the thermoelectric effect due to the Majorana zero modes coupled to one quantum-dot system
• 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
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Control and detection of Majorana bound states in quantum dot arrays
• Majorana molecules and their spectral fingerprints
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Experimental review on Majorana zero-modes in hybrid nanowires
• Charge and spin transport through normal lead coupled to $s$-wave superconductor and a Majorana zero mode
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Majorana bound state in the continuum: Coupling between Majorana bound state and quantum dot mediated by continuum
• Anomalous Fano Resonance in Double Quantum Dot System Coupled to Superconductor
• Properties of the Majorana-state tunneling Josephson junction mediated by an interacting quantum dot
• The influence of the Majorana non-locality on the supercurrent
• Fano-Kondo resonance versus Kondo plateau in an Aharonov-Bohm ring with an embedded quantum dot
• Memory effect preserved time-local approach to noise spectrum of transport current
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Photonic cross-noise spectroscopy of Majorana bound states
• Proximity-induced zero-energy states indistinguishable from topological edge states
• Super-Poissonian noise from quasiparticle poisoning in electron transport through a pair of Majorana bound states
• Tutorial on Superconducting Quantum Circuits: From Basics to Applications
• Quench dynamics of Fano-like resonances in the presence of the on-dot superconducting pairing
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions