Transport properties of fully screened Kondo models

Hörig, Christoph B. M.; Mora, Christophe; Schuricht, Dirk

doi:10.1103/physrevb.89.165411

Cited by 12 publications

(14 citation statements)

References 114 publications

(255 reference statements)

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“…3-a,c) (Fig. 3-b), consistent with previous results for the dynamical spin susceptibility [34][35][36][37][38] and the spin-current noise 25 in the Kondo regime.…”

Section: Nrg Calculationssupporting

confidence: 91%

Spin versus charge noise from Kondo traps

Silva

Sousa

2015

Phys. Rev. B

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Magnetic and charge noise have common microscopic origin in solid state devices, as described by a universal electron trap model. In spite of this common origin, magnetic (spin) and charge noise spectral densities display remarkably different behaviours when many-particle correlations are taken into account, leading to the emergence of the Kondo effect. We derive exact frequency sum rules for trap noise, and perform numerical renormalization-group calculations to show that while spin noise is a universal function of the Kondo temperature, charge noise remains well described by single-particle theory even when the trap is deep in the Kondo regime. We obtain simple analytical expressions for charge and spin noise that accounts for Kondo screening in all frequency and temperature regimes, enabling the study of the impact of disorder and the emergence of magnetic 1/f noise from Kondo traps. We conclude that the difference between charge and spin noise survives even in the presence of disorder, showing that noise can be more manageable in devices that are sensitive to magnetic (rather than charge) fluctuations and that the signature of the Kondo effect can be observed in spin noise spectroscopy experiments.

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“…3-a,c) (Fig. 3-b), consistent with previous results for the dynamical spin susceptibility [34][35][36][37][38] and the spin-current noise 25 in the Kondo regime.…”

Section: Nrg Calculationssupporting

confidence: 91%

Spin versus charge noise from Kondo traps

Silva

Sousa

2015

Phys. Rev. B

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“…Both the quasiparticle and the diagrammatic Fermiliquid approaches proved to be extremely useful. The diagrammatic FL approach has been extended to orbitally degenerate versions of the Anderson model [12,[15][16][17], see also the interaction between two impurities [19], and to out of equilibrium [20], and led to the construction of the renormalized perturbation theory [2,3,21,22] (see also Ref. [23]) and its application to various extensions of the Anderson model [24][25][26].…”

Section: B Anderson Model Basicsmentioning

confidence: 99%

Fermi-liquid theory for the single-impurity Anderson model

et al. 2015

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We generalize Nozières' Fermi-liquid theory for the low-energy behavior of the Kondo model to that of the single-impurity Anderson model. In addition to the electrons' phase shift at the Fermi energy, the low-energy Fermi-liquid theory is characterized by four Fermi-liquid parameters: the two given by Nozières that enter to first order in the excitation energy, and two additional ones that enter to second order and are needed away from particle-hole symmetry. We express all four parameters in terms of zero-temperature physical observables, namely the local charge and spin susceptibilities and their derivatives w.r.t. the local level position. We determine these in terms of the bare parameters of the Anderson model using Bethe Ansatz and Numerical Renormalization Group (NRG) calculations. Our low-energy Fermi-liquid theory applies throughout the crossover from the strong-coupling Kondo regime via the mixed-valence regime to the empty-orbital regime. From the Fermi-liquid theory, we determine the conductance through a quantum dot symmetrically coupled to two leads in the regime of small magnetic field, low temperature and small bias voltage, and compute the coefficients of the ∼ B 2 , ∼ T 2 , and ∼ V 2 terms exactly in terms of the Fermiliquid parameters. The coefficients of T 2 , V 2 and B 2 are found to change sign during the Kondo to empty-orbital crossover. The crossover becomes universal in the limit that the local interaction is much larger than the level width. For completeness, we also compute the shot noise and discuss the resulting Fano factor.

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“…27, and for sending us a preprint of Ref. 46 prior to its submission. The latter work, which we received in the final stages of this work, also uses H λ of Eq.…”

Section: Acknowledgementsmentioning

confidence: 99%

Equilibrium Fermi-liquid coefficients for the fully screenedN-channel Kondo model

et al. 2014

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We analytically and numerically compute three equilibrium Fermi-liquid coefficients of the fully screened N -channel Kondo model, namely cB, cT and cε, characterizing the magnetic field and temperature-dependence of the resisitivity, and the curvature of the equilibrium Kondo resonance, respectively. We present a compact, unified derivation of the N -dependence of these coefficients, combining elements from various previous treatments of this model. We numerically compute these coefficients using the numerical renormalization group, with non-Abelian symmetries implemented explicitly, finding agreement with Fermi-liquid predictions on the order of 5% or better.

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Transport properties of fully screened Kondo models

Cited by 12 publications

References 114 publications

Spin versus charge noise from Kondo traps

Spin versus charge noise from Kondo traps

Fermi-liquid theory for the single-impurity Anderson model

Equilibrium Fermi-liquid coefficients for the fully screenedN-channel Kondo model

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