Majorana-Kondo interplay in T-shaped double quantum dots

Abstract

The transport behavior of a double quantum dot side-attached to a topological superconducting wire hosting Majorana zero-energy modes is studied theoretically in the strong correlation regime. It is shown that Majorana modes can leak to the whole nanostructure, giving rise to a subtle interplay between the two-stage Kondo screening and the half-fermionic nature of Majorana quasiparticles. In particular, the coupling to the topological wire is found to reduce the effective exchange interaction between the two quantum dots in the absence of normal leads. Interestingly, it also results in an enhancement of the second-stage Kondo temperature when the normal leads are attached. Moreover, it is shown that the second stage of the Kondo effect can become significantly modified in one of the spin channels due to the interference with the Majorana zero-energy mode, yielding the low-temperature conductance equal to $G=G_0/4$, where $G_0=2e^2/h$, instead of $G=0$ in the absence of the topological superconducting wire. We also identify a nontrivial spin-charge $\mathrm{SU}(2)$ symmetry present in the system at a particular point in parameter space, despite lack of the spin nor charge conservation. Finally, we discuss the consequences of a finite overlap between two Majorana modes, as relevant for short Majorana wires.

arXiv comment16 pages, 15 figures, accepted in Phys. Rev. B

References in corpus (48)

• Topological Insulators
• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• New directions in the pursuit of Majorana fermions in solid state systems
• Kondo Physics in a Single Electron Transistor
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• The numerical renormalization group method for quantum impurity systems
• 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
• Quantized Majorana conductance
• Tunneling characteristic of a chain of Majorana bound states
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Ballistic Majorana nanowire devices
• Detecting a Majorana-Fermion Zero Mode Using a Quantum Dot
• Energy resolution and discretization artefacts in the numerical renormalization group
• Nonlocality of Majorana Modes in Hybrid Nanowires
• Measuring Majorana non-locality and spin structure with a quantum dot
• Subtle leakage of a Majorana mode into a quantum dot
• Kondo effect in real quantum dots
• Strongly correlated regimes in a double quantum-dot device
• Scheme to measure Majorana fermion lifetimes using a quantum dot
• Quantum phase transitions in models of coupled magnetic impurities
• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
• Fano-Kondo interplay in a side-coupled double quantum dot
• Thermoelectrical detection of Majorana states
• On controlling the bound states in quantum-dot hybrid-nanowire
• Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Enhanced Conductance Through Side-Coupled Double Quantum Dots
• Spin-dependent coupling between quantum dots and topological quantum wires
• Interplay between Kondo and Majorana interactions in quantum dots
• Metal-Quantum Dot-Topological Superconductor Junction: Kondo correlations and Majorana Bound States
• Two-stage Kondo effect in side-coupled quantum dots: Renormalized perturbative scaling theory and Numerical Renormalization Group analysis
• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Perfect spin polarization in T-shaped double quantum dots due to the spin-dependent Fano effect
• Spin-polarized conductance in double quantum dots: Interplay of Kondo, Zeeman and interference effects
• Manipulating Majorana zero modes in double quantum dots
• Optimal broadening of finite energy spectra in the numerical renormalization group: application to dissipative dynamics in two-level systems
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Control and detection of Majorana bound states in quantum dot arrays
• Spectral Densities of Response Functions for the O(3) Symmetric Anderson and Two Channel Kondo Models
• Nonlocal Andreev Reflections as a Source of Spin Exchange and Kondo Screening
• Interplay of the Kondo effect with the induced pairing in electronic and caloric properties of T-shaped double quantum dots

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• Dual Majorana universality in thermally induced nonequilibrium
• Majorana-Kondo competition in a cross-shaped double quantum dot-topological superconductor system
• Signatures of Kondo-Majorana interplay in ac response
• The topological Kondo model out of equilibrium
• Spin-charge Kondo effect for a quantum dot with side coupled Majorana zero mode
• Thermoelectric fluctuations of interfering Majorana bound states
• Continuous unitary transformation approach to the Kondo-Majorana interplay