<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>
 Parafermion in the Double Charge Kondo Model

Karki, D. B.; Boulat, E.; Pouse, Winston; Goldhaber‐Gordon, David; Mitchell, Andrew K.; Mora, Christophe

doi:10.1103/physrevlett.130.146201

Phys. Rev. Lett.

2023

DOI: 10.1103/physrevlett.130.146201

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Z3 Parafermion in the Double Charge Kondo Model

D. B. Karki

E. Boulat

Winston Pouse

et al.

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Cited by 10 publications

References 79 publications

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Manifestation of Luttinger liquid effects in a hybrid metal-semiconductor double-quantum dot device

Parafilo

2024

Low Temperature Physics

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We theoretically study the transport properties of a hybrid nanodevice comprised of two large metallic islands incorporated in a two-dimensional electron gas. The high-tunability of the conducting channels electrically connecting two islands to each other and to the leads allows us to treat the setup as a realization of a multi-channel two-site charge Kondo (2SCK) model. It is shown that the leading temperature dependence of the conductance in the 2SCK circuit satisfies the conductance scaling of a single-impurity problem in a Luttinger liquid, whose interaction parameter is fully determined by the number of conducting channels in the device. We demonstrate that the finite weak backscattering in all conducting channels features the appearance of the sub-leading temperature dependencies in linear conductance. At the special critical point, we predict an equivalency between the 2SCK nanodevice and a single-site two-channel charge Kondo problem, where one Kondo channel is implemented by a non-interacting electron gas and the second Kondo channel is attributed to the Luttinger liquid.

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Manifestation of Luttinger liquid effects in a hybrid metal-semiconductor double-quantum dot device

Parafilo

2024

Low Temperature Physics

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A mesoscopic device for a realization of the topological Kondo effect

Sarkar,

Tsvelik

2024

New J. Phys.

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The search for anyons is a field of immense interest owing to its potential application in the field of quantum information. Quantum critical Kondo impurities constitute one possible platform for their realization and Topological Kondo effect (TKE) by virtue of remaining critical in the presence of perturbations, seems to be especially promising in this regard. In this paper we discuss practical steps for a realization of TKE with a relatively high Kondo temperature TK. Its central feature is the so-called Majorana-Cooper box (MCB) and we argue that a particular type of iron-based topological superconductor is especially suitable for realization of TKE. Once MCB is available one needs to connect it to external metallic leads to produce TKE. A relatively high value of the Kondo temperature TK is then aided by a large superconducting gap of the iron-based superconductor. We give estimates for TK, for the cases of both isotropic and anisotropic exchange couplings of MCB with the leads.

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Multiparameter critical quantum metrology with impurity probes

Mihailescu,

Bayat,

Campbell

et al. 2024

Quantum Sci. Technol.

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Quantum systems can be used as probes in the context of metrology for enhanced parameter estimation. In particular, the delicacy of critical systems to perturbations can make them ideal sensors. Arguably the simplest realistic probe system is a spin-1/2 impurity, which can be manipulated and measured in-situ when embedded in a fermionic environment. Although entanglement between a single impurity probe and its environment produces nontrivial many-body effects, criticality cannot be leveraged for sensing. Here we introduce instead the two-impurity Kondo (2IK) model as a novel paradigm for critical quantum metrology, and examine the multiparameter estimation scenario at finite temperature. We explore the full metrological phase diagram numerically and obtain exact analytic results near criticality. Enhanced sensitivity to the inter-impurity coupling driving a second-order phase transition is evidenced by diverging quantum Fisher information (QFI) and quantum signal-to-noise ratio (QSNR). However, with uncertainty in both coupling strength and temperature, the multiparameter QFI matrix becomes singular -- even though the parameters to be estimated are independent -- resulting in vanishing QSNRs. We demonstrate that by applying a known control field, the singularity can be removed and measurement sensitivity restored. For general systems, we show that the degradation in the QSNR due to uncertainties in another parameter is controlled by the degree of correlation between the unknown parameters.

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Z3 Parafermion in the Double Charge Kondo Model

Cited by 10 publications

References 79 publications

Manifestation of Luttinger liquid effects in a hybrid metal-semiconductor double-quantum dot device

Manifestation of Luttinger liquid effects in a hybrid metal-semiconductor double-quantum dot device

A mesoscopic device for a realization of the topological Kondo effect

Multiparameter critical quantum metrology with impurity probes

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