Exact results for the Kondo screening cloud of two helical liquids

Abstract

We analyze the screening of a magnetic quantum dot with spin 1/2 coupled to two helical liquids. Interestingly, we find two qualitatively different sets of Toulouse points, i.e., nontrivial parameters for which we can solve the two channel Kondo model exactly. This enables us to calculate the temperature and voltage dependent Kondo screening cloud, which develops oscillations for an applied spin voltage ${\mu }_s$. Such a spin voltage can be conveniently applied by a charge bias in a four-terminal helical liquid setup.

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• Optimal thermoelectricity with quantum spin-Hall edge states
• Spin-orbit interactions in a helical Luttinger liquid with a Kondo impurity
• Spin textures of strongly correlated spin Hall quantum dots
• Universal spatial correlations in the anisotropic Kondo screening cloud: analytical insights and numerically exact results from a coherent state expansion
• Single magnetic impurities in the Kane-Mele model
• Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state
• Real-space structure of the impurity screening cloud in the Resonant Level Model
• Magnetic AC control of the spin textures in a helical Luttinger liquid
• Measuring the Kondo Cloud by Current Cross Correlations in Helical Liquids
• Nonequilibrium Kondo effect by equilibrium numerical renormalization group method: The hybrid Anderson model subject to a finite spin bias
• Transport via double constrictions in integer and fractional topological insulators
• Quantum impurity in a Tomonaga-Luttinger liquid: continuous-time quantum Monte Carlo approach
• Transport through a quantum spin Hall antidot as a spectroscopic probe of spin textures
• Nonequilibrium transport of helical Luttinger liquids through a quantum dot
• Emission of entangled Kramers pairs from a helical mesoscopic capacitor
• Orbital Kondo effect in fractional quantum Hall systems
• Two-channel Kondo problem in coupled interacting helical liquids
• Sub- to Super-Poissonian crossover of current noise in helical edge states coupled to a spin impurity in a magnetic field
• Transport in quantum spin Hall edges in contact to a quantum dot
• Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state
• Natural orbitals renormalization group approach to a spin-1/2 impurity interacting with two helical liquids
• Kondo screening of spin-charge separated fluxons by a helical liquid
• Auto- and cross-correlations in the spinful topological Kondo model