Interplay between Kondo and Majorana interactions in quantum dots

Abstract

We study the properties of a quantum dot coupled to a one-dimensional topological superconductor and a normal lead and discuss the interplay between Kondo and Majorana-induced couplings in quantum dot. The latter appears due to the presence of Majorana zero-energy modes localized at the ends of the one-dimensional superconductor. We investigate the phase diagram of the system as a function of Kondo and Majorana interactions using a renormalization-group analysis, a slave-boson mean-field theory and numerical simulations using the density-matrix renormalization group method. We show that, in addition to the well-known Kondo fixed point, the system may flow to a new fixed point controlled by the Majorana-induced coupling which is characterized by non-trivial correlations between a localized spin on the dot and the fermion parity of the topological superconductor and normal lead. We compute several measurable quantities such as differential tunneling conductance and impurity spin susceptibility which highlight some peculiar features characteristic to the Majorana fixed point.

Published version

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Cited by in corpus (47)

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• Probing Majorana Physics in Quantum Dot Shot Noise Experiments
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• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Quantum-Dot Parity Effects in Trivial and Topological Josephson Junctions
• Majorana tunneling entropy
• Spin-resolved thermal signatures of Majorana-Kondo interplay in double quantum dots
• The Majorana STM as a perfect detector of odd-frequency superconductivity
• Majorana-Kondo interplay in T-shaped double quantum dots
• Universal Majorana thermoelectric noise
• Majorana zero modes choose Euler numbers - revealed by full counting statistics
• Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
• Robustness of the Kondo effect in a quantum dot coupled to Majorana zero modes
• Enhancement of the thermoelectric effect due to the Majorana zero modes coupled to one quantum-dot system
• Probing Robust Majorana Signatures by Crossed Andreev Reflection with a Quantum Dot
• Many-terminal Majorana island: from Topological to Multi-Channel Kondo Model
• Majorana mode leaking into a spin-charge entangled double quantum dot
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Majorana differential shot noise and its universal thermoelectric crossover
• Topological isoconductance signatures in Majorana nanowires
• Transport in a hybrid normal-topological superconductor Kondo model
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Theory of Coulomb blockaded transport in realistic Majorana nanowires
• Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
• Non-Kondo many-body physics in a Majorana-based Kondo type system
• Multiple Andreev reflections in s-wave superconductor-quantum dot- topological superconductor tunnel junctions and Majorana bound states
• Gapless odd-frequency superconductivity induced by the Sachdev-Ye-Kitaev model
• Manipulating Andreev and Majorana Bound States with microwaves
• Nonequilibrium finite frequency resonances in differential quantum noise driven by Majorana interference
• SPT 2-Channel Kondo Model in the Structure of Normal Metal/Quantum Dot/DIII-class Topological Superconductor
• Interplay between Coulomb blockade and Josephson effect in a topological superconductor-quantum dot device
• Signatures of Kondo-Majorana interplay in ac response
• Transient effects in quantum dots contacted via topological superconductor
• Nonlocal correlations transmitted between quantum dots via short topological superconductor
• Environmental Coulomb blockade of topological superconductor-normal metal junctions
• The topological Kondo model out of equilibrium
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Interplay between pairing and correlations in spin-polarized bound states
• Phase transitions in quantum dot-Majorana zero mode coupling systems
• Spin-charge Kondo effect for a quantum dot with side coupled Majorana zero mode
• Thermoelectric fluctuations of interfering Majorana bound states
• Exactly solvable Majorana-Anderson impurity models
• Interplay of correlations and Majorana mode from local solution perspective
• Revealing universal Majorana fractionalization using differential shot noise and conductance in nonequilibrium states controlled by tunneling phases
• Electrical transport through a quantum dot side-coupled to a topological superconductor