Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model

Blesio, G. G.; Manuel, L. O.; Roura‐Bas, P.; Aligia, A. A.

doi:10.1103/physrevb.98.195435

Cited by 12 publications

(29 citation statements)

References 40 publications

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“…We also show how these results are modified by anisotropy D. In Ref. 43 we have shown some results for S(T ), ρ(ω) and G(T ) for fixed d and several D ≥ 0, to show that a sharp jump in these properties take place at a given critical anisotropy D c due to a topological quantum phase transition. Here, we add new calculations in the Kondo limit particularly for D near D c which illustrate the sharpness of the transition.…”

Section: O-dopedmentioning

confidence: 66%

“…Very recently, working with the same model of Eq. (2), we have uncovered a topological quantum phase transition between two Fermi liquids as a function of the magnetic anisotropy 43 . For D < D c (2 − 3)T 0 K (T 0 K is the Kondo temperature for D = 0), the impurity is fully Kondo screened as in the D = 0 case, with a Kondo temperature that, surprisingly, scales as a power law of D,…”

Section: E Role Of the Single-ion Magnetic Anisotropymentioning

confidence: 84%

“…Due to this fact the system cannot be adiabatically connected to a non-interacting one. Therefore we have named it a non-Landau Fermi liquid 43 . At the critical point, the system exhibits several non-Fermi liquid signatures of the two-channel s = 1/2 Kondo (2CK) effect.…”

Section: E Role Of the Single-ion Magnetic Anisotropymentioning

confidence: 99%

“…Using model parameters, an experimentally accessible Kondo temperature T K ∼ 70 K was estimated (see Supplemen-tal Material of Ref. 43 ). More recently we have shown that the model has a topological phase transition as a function of the impurity single-ion magnetic anisotropy D 43 .…”

Section: Introductionmentioning

confidence: 99%

“…43 ). More recently we have shown that the model has a topological phase transition as a function of the impurity single-ion magnetic anisotropy D 43 . However, so far, the general properties of the model have not been studied.…”

Section: Introductionmentioning

confidence: 99%

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Fully compensated Kondo effect for a two-channel spin S=1 impurity

et al. 2019

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We study the low-temperature properties of the generalized Anderson impurity model in which two localized configurations, one with two doublets and the other with a triplet, are mixed by two degenerate conduction channels. By using the numerical renormalization group and the noncrossing approximation, we analyze the impurity entropy, its spectral density, and the equilibrium conductance for several values of the model parameters. Marked differences with respect to the conventional one-channel spin s = 1/2 Anderson model, that can be traced as hallmarks of an impurity spin S = 1, are found in the Kondo temperature, the width and position of the charge transfer peak, and the temperature dependence of the equilibrium conductance. Furthermore, we analyze the rich effects of a single-ion magnetic anisotropy D on the Kondo behavior. In particular, as shown before, for large enough positive D the system behaves as a "non-Landau" Fermi liquid that cannot be adiabatically connected to a non-interacting system turning off the interactions. For negative D the Kondo effect is strongly suppressed. While the model is suitable for the description of a single Ni impurity embedded into an O doped Au chain, it is a generic one for S = 1 and two channels and might be realized in other nanoscopic systems.

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Section: O-dopedmentioning

confidence: 66%

Section: E Role Of the Single-ion Magnetic Anisotropymentioning

confidence: 84%

Section: E Role Of the Single-ion Magnetic Anisotropymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fully compensated Kondo effect for a two-channel spin S=1 impurity

et al. 2019

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High Thermoelectric Performance in Phonon‐Glass Electron‐Crystal Like AgSbTe₂

Taneja,

Das,

Dolui

et al. 2023

Advanced Materials

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Achieving glass‐like ultra‐low thermal conductivity in crystalline solids with high electrical conductivity, a crucial requirement for high‐performance thermoelectrics , continues to be a formidable challenge. A careful balance between electrical and thermal transport is essential for optimizing the thermoelectric performance. Despite this inherent trade‐off, the experimental realization of an ideal thermoelectric material with a phonon‐glass electron‐crystal (PGEC) nature has rarely been achieved. Here, PGEC‐like AgSbTe2 is demonstrated by tuning the atomic disorder upon Yb doping, which results in an outstanding thermoelectric performance with figure of merit, zT ≈ 2.4 at 573 K. Yb‐doping‐induced enhanced atomic ordering decreases the overlap between the hole and phonon mean free paths and consequently leads to a PGEC‐like transport behavior in AgSbTe2. A twofold increase in electrical mobility is observed while keeping the position of the Fermi level (EF) nearly unchanged and corroborates the enhanced crystalline nature of the AgSbTe2 lattice upon Yb doping for electrical transport. The cation‐ordered domains, lead to the formation of nanoscale superstructures (≈2 to 4 nm) that strongly scatter heat‐carrying phonons, resulting in a temperature‐independent glass‐like thermal conductivity. The strategy paves the way for realizing high thermoelectric performance in various disordered crystals by making them amorphous to phonons while favoring crystal‐like electrical transport.

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Kondo Effect in Distorted Titanium Phthalocyanine Molecules Adsorbed on a Cu(110) Metallic Surface

Ribeiro,

Lopes,

Chiappe

et al. 2024

J. Phys. Chem. C

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In this work, we study the quantum transition taking place when titanium phthalocyanine molecules are adsorbed on a copper’s surface. Submitted to thermal annealing, depending on the way in which the molecule is adsorbed, this system can be characterized by a Kondo ground state, giving rise to a zero bias peak in the differential conductance. To clarify this new property, derived from the annealing process, we propose a model Hamiltonian that describes the essential physics involved. We show that the Kondo ground state appears as a consequence of the broken symmetry introduced by the annealing. It is not due to an increase of the molecule–substrate interactions but to the modification of the intermolecular lobe orbital matrix elements. This rearrangement rules the entrance of charge into the molecule and provides the conditions for the establishment of the Kondo state. Our results for the differential conductance, corresponding to the electronic current between a STM tip and one of the molecular lobes, agree with the experimental differential conductance measurements. It presents an Abrikosov–Suhl–Kondo resonance at the Fermi level for the configuration where the molecule is distorted. The results obtained within the model we propose, when compared with the experiments, give quantitative support to our interpretation.

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Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model

Cited by 12 publications

References 40 publications

Fully compensated Kondo effect for a two-channel spin S=1 impurity

Fully compensated Kondo effect for a two-channel spin S=1 impurity

High Thermoelectric Performance in Phonon‐Glass Electron‐Crystal Like AgSbTe₂

Kondo Effect in Distorted Titanium Phthalocyanine Molecules Adsorbed on a Cu(110) Metallic Surface

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Topological quantum phase transition between Fermi liquid phases in an Anderson impurity model

Cited by 12 publications

References 40 publications

Fully compensated Kondo effect for a two-channel spin S=1 impurity

Fully compensated Kondo effect for a two-channel spin S=1 impurity

High Thermoelectric Performance in Phonon‐Glass Electron‐Crystal Like AgSbTe2

Kondo Effect in Distorted Titanium Phthalocyanine Molecules Adsorbed on a Cu(110) Metallic Surface

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Product

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High Thermoelectric Performance in Phonon‐Glass Electron‐Crystal Like AgSbTe₂