Exact results for the Kondo screening cloud of two helical liquids
Thore Posske, Chao-Xing Liu, Jan Carl Budich, Bj\"orn Trauzettel
TL;DR
This paper provides exact analytical results for the Kondo screening cloud in a system with a magnetic impurity coupled to two helical liquids, revealing oscillatory behavior under spin voltage and identifying special solvable points.
Contribution
It identifies two distinct sets of Toulouse points for the two-channel Kondo model in helical liquids, enabling exact calculations of the screening cloud.
Findings
Exact solutions at specific Toulouse points
Oscillations in the screening cloud under spin voltage
Analytical expressions for temperature and voltage dependence
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 . Such a spin voltage can be conveniently applied by a charge bias in a four-terminal helical liquid setup.
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