Manipulating non-abelian anyons in a chiral multi-channel Kondo model

Lotem, Matan; Sela, Eran; Goldstein, Moshe

doi:10.48550/arxiv.2205.04418

Cited by 2 publications

(3 citation statements)

References 34 publications

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“…In Ref. [39] we studied such a system, demonstrating the emergence of decoupled nonabelian anyons, for which the fusion channel could be measured by looking at inter-impurity spin correlations. There we relied on arguments for inter-impurity distance independence in order to simplify the problem by taking the limit R → 0 + .…”

Section: Discussionmentioning

confidence: 99%

“…In the multi-impurity case, the emergent RKKY interactions lift the frustration, thus avoiding fractionalization, but recent proposals try to circumvent this [36,37]. As chirality eliminates the RKKY interactions, the decoupled non-abelian anyons are expected to survive [37][38][39]. Recently the two-and three-channel Kondo effects have been demonstrated for a single quantum dot coupled to (multiple) integer quantum Hall (chiral) edge modes [40,41], with clear signatures of the fractionalization [42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

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The Chiral Numerical Renormalization Group

Lotem¹,

Sela²,

Goldstein³

2022

Preprint

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The interplay between the Kondo-screening of quantum impurities (by the electronic channels to which they couple) and the inter-impurity RKKY interactions (mediated by the same channels) has been extensively studied. However, the effect of uni-directional channels (e.g., chiral or helical edge modes of 2D topological materials) which greatly restrict the mediated inter-impurity interactions, has only more recently come under scrutiny, and it can drastically alter the physics. Here we take Wilson's Numerical Renormalization Group (NRG), the most established numerical method for treating quantum impurity models, and extend it to systems consisting of two impurities coupled at different locations to uni-directional channel(s). This is challenging due to the incompatibility of unidirectionality with one of the main ingredients in NRG -the mapping of the channel(s) to a Wilson chain -a tight-binding chain with the impurity at one end and hopping amplitudes which decay exponentially with the distance. We bridge this gap by introducing a "Wilson ladder" consisting of two coupled Wilson chains, and demonstrate that this construction successfully captures the unidirectionality of the channel(s), as well as the distance between the two impurities. We use this mapping in order to study two Kondo impurities coupled to a single chiral channel, showing that all local properties and thermodynamic quantities are indifferent to the inter-impurity distance, and correspond to two separate single-impurity models. Extensions to more impurities and/or helical channels are possible.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Chiral Numerical Renormalization Group

Lotem¹,

Sela²,

Goldstein³

2022

Preprint

Self Cite

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“…The setup in general allows probing any quantum impurity model including multiple-impurity systems exhibiting exotic critical points as recently studied experimentally [31,32]. An interesting future direction would be to use such an interferometer to probe the phase and possibly non-abelian statistics of Kondo anyons [33][34][35][36] by placing multiple dots along the chiral interference arm.…”

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confidence: 99%

Probing single-electron scattering through a non-Fermi liquid charge-Kondo device

Sela¹,

Goldhaber‐Gordon²,

Anthore³

et al. 2023

Preprint

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Among the exotic and yet unobserved features of multi-channel Kondo impurity models is their sub-unitary single electron scattering. In the two-channel Kondo model, for example, an incoming electron is fully scattered into a many-body excitation such that the single particle Green function vanishes. Here we propose to directly observe these features in a charge-Kondo device encapsulated in a Mach-Zehnder interferometer -within a device already studied in Ref. 1. We provide detailed predictions for the visibility and phase of the Aharonov-Bohm oscillations depending on the number of coupled channels and the asymmetry of their couplings.

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Manipulating non-abelian anyons in a chiral multi-channel Kondo model

Cited by 2 publications

References 34 publications

The Chiral Numerical Renormalization Group

The Chiral Numerical Renormalization Group

Probing single-electron scattering through a non-Fermi liquid charge-Kondo device

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