The electrical resistance of gold, copper and lead at low temperatures

Haas, W.J. De; Boer, JL de; Berg, Gérard J. van den

doi:10.1016/s0031-8914(34)80310-2

Cited by 239 publications

(187 citation statements)

References 6 publications

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“…1 and the RTRG results. 19 One sees that the nonequilibrium universal shape of the differential conductance for the asymmetric spin- 1 2 SIAM with U = ∞ is very close to that in the s-d model. In particular, in the deep nonequilibrium crossover both theories predict the same result for the value of the differential conductance at the Kondo voltage, namely, 2/3 of its unitary limit value.…”

Section: -2 Keldysh Effective Action Theory For Universal mentioning

confidence: 74%

“…These equations show that E α ≡ E α /kT K is a universal ratio which guarantees the correct scaling of the differential conductance. The quadratic slave-bosonic Keldysh field integral theory (circles) provides the universal equilibrium description of the Kondo spin- 1 2 effect in the asymmetric SIAM with U = ∞ at any temperature, i.e., in the weak-coupling regime, strong-coupling regime, and in the crossover region. The NRG results (solid line) are provided by T. Costi and L. Merker (research center of Jülich).…”

Section: -2 Keldysh Effective Action Theory For Universal mentioning

confidence: 99%

“…The zerodimensional platform available in modern nanotechnology provides a great advantage over bulk metals with magnetic impurities where the Kondo effect was originally observed. 1 Indeed, the possibility to enrich the physics with nonequilibrium as well as to independently tune various parameters of QD structures allows one to access different aspects of the Kondo physics predicted theoretically. One of these aspects is the universality of the zero bias anomaly or Kondo resonance in the differential conductance which, as has also been confirmed in experiments, 2,3 turns out to be a universal function of the temperature and voltage with the energy scale given by the Kondo temperature T K .…”

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confidence: 99%

“…The whole spectrum of modern theoretical methods is, in principle, enough to describe many fundamental properties of the Kondo state in spin- 1 2 QDs in different regimes. However, a simple single analytical theory which could provide a reliable quantitative description of the Kondo physics at any temperature and voltage and which would elucidate its universality is highly desirable.…”

mentioning

confidence: 99%

“…This ratio has been intensively discussed in the literature 20,21 for the symmetric spin- 1 2 SIAM. However, little is known on this ratio for the highly asymmetric spin- 1 2 SIAM with U = ∞; (4) a prediction identical to the one made in the RTRG 19 for the s-d model that in the deep nonequilibrium crossover region, at the Kondo voltage, the differential conductance is equal to 2/3 of its maximum; and (5) …”

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confidence: 99%

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Keldysh effective action theory for universal physics in spin-12Kondo dots

Smirnov

Grifoni

2013

Phys. Rev. B

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We present a theory for the Kondo spin-1 2 effect in strongly correlated quantum dots. The theory is applicable at any temperature and voltage. It is based on a quadratic Keldysh effective action parametrized by a universal function. We provide a general analytical form for the tunneling density of states through this universal function for which we propose a simple microscopic model. We apply our theory to the highly asymmetric Anderson model with U = ∞ and describe its strong-coupling limit, weak-coupling limit, and crossover region within a single analytical expression. We compare our results with a numerical renormalization group in equilibrium and with a real-time renormalization group out of equilibrium and show that the universal shapes of the linear and differential conductance obtained in our theory and in these theories are very close to each other in a wide range of temperatures and voltages. In particular, as in the real-time renormalization group, we predict that at the Kondo voltage the differential conductance is equal to 2/3 of its maximum.

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Section: -2 Keldysh Effective Action Theory For Universal mentioning

confidence: 74%

Section: -2 Keldysh Effective Action Theory For Universal mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Keldysh effective action theory for universal physics in spin-12Kondo dots

Smirnov

Grifoni

2013

Phys. Rev. B

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Heavy Fermions: Electrons at the Edge of Magnetism

Coleman

2007

Handbook of Magnetism and Advanced Magnetic Materials

136

153

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The Kondo Effect in Mesoscopic Quantum Dots

Grobis

Rau

Potok

et al. 2007

Handbook of Magnetism and Advanced Magnetic Materials

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A dilute concentration of magnetic impurities can dramatically affect the transport properties of an otherwise pure metal. This phenomenon, known as the Kondo effect, originates from the interactions of individual magnetic impurities with the conduction electrons. Nearly a decade ago, the Kondo effect was observed in a new system, in which the magnetic moment stems from a single unpaired spin in a lithographically defined quantum dot, or artificial atom. The discovery of the Kondo effect in artificial atoms spurred a revival in the study of Kondo physics, due in part to the unprecedented control of relevant parameters in these systems. In this review we discuss the physics, origins, and phenomenology of the Kondo effect in the context of recent quantum dot experiments. After a brief historical introduction (Sec. 1), we first discuss the spin-½ Kondo effect (Sec. 2) and how it is modified by various parameters, external couplings, and non-ideal conduction reservoirs (Sec. 3). Next, we discuss measurements of more exotic Kondo systems (Sec. 4) and conclude with some possible future directions (Sec. 5).

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The electrical resistance of gold, copper and lead at low temperatures

Cited by 239 publications

References 6 publications

Keldysh effective action theory for universal physics in spin-12Kondo dots

Keldysh effective action theory for universal physics in spin-12Kondo dots

Heavy Fermions: Electrons at the Edge of Magnetism

The Kondo Effect in Mesoscopic Quantum Dots

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