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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• Quantum Spin Hall Insulator State in HgTe Quantum Wells
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Cited by in corpus (5)

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• Nonlinear spin-thermoelectric transport in two-dimensional topological insulators
• Quantum impurity in a Tomonaga-Luttinger liquid: continuous-time quantum Monte Carlo approach
• 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