Universal Scaling in Nonequilibrium Transport through a Single Channel Kondo Dot

Grobis, M.; Rau, I. G.; Potok, R. M.; Shtrikman, Hadas; Goldhaber‐Gordon, David

doi:10.1103/physrevlett.100.246601

Cited by 144 publications

(228 citation statements)

References 30 publications

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“…We focus on the case of symmetric coupling, A = 1, between the lead and the QD. This assumption is justified by the experimental setup used in the measurement of conductances for GaAS, that keep the two couplings nearly equal, [6].…”

Section: Numerical Resultsmentioning

confidence: 99%

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Universal scaling in transport out of equilibrium through a single quantum dot using the noncrossing approximation

Roura‐Bas

2010

Phys. Rev. B

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The universal scaling behavior is studied for nonequilibrium transport through a quantum dot. To describe the dot we use the standard Anderson impurity model and use the non-equilibrium noncrossing approximation in the limit of infinite Coulomb repulsion. After solving de Hamiltonian, we calculate the conductance through the system as a function of temperature T and bias voltage V in the Kondo and in the mixed valent regime. We obtain a good scaling function in both regimes. In particular, in the mixed valent regime, we find excellent agreement with recent experiments and previous theoretical works.

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Section: Numerical Resultsmentioning

confidence: 99%

“…As we mentioned in the previous section, the purpose of this work is to test the experimentally observed scaling relation [6,7] and to provide a theoretical complement to the recent RPT study [8].…”

Section: Model and Methodsmentioning

confidence: 99%

Universal scaling in transport out of equilibrium through a single quantum dot using the noncrossing approximation

Roura‐Bas

2010

Phys. Rev. B

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“…The possibility to design artificial controllable magnetic impurities in nanoscopic conductors has opened a path to study this many body phenomenon in unusual situations as compared to the initial one and, in particular, in out of equilibrium situations [8][9][10] . So far, measurements have focused on the average current.…”

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confidence: 99%

Noisy Kondo impurities

et al. 2009

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The anti-ferromagnetic coupling of a magnetic impurity carrying a spin with the conduction electrons spins of a host metal is the basic mechanism responsible for the increase of the resistance of an alloy such as Cu${}_{0.998}$Fe${}_{0.002}$ at low temperature, as originally suggested by Kondo . This coupling has emerged as a very generic property of localized electronic states coupled to a continuum . The possibility to design artificial controllable magnetic impurities in nanoscopic conductors has opened a path to study this many body phenomenon in unusual situations as compared to the initial one and, in particular, in out of equilibrium situations. So far, measurements have focused on the average current. Here, we report on \textit{current fluctuations} (noise) measurements in artificial Kondo impurities made in carbon nanotube devices. We find a striking enhancement of the current noise within the Kondo resonance, in contradiction with simple non-interacting theories. Our findings provide a test bench for one of the most important many-body theories of condensed matter in out of equilibrium situations and shed light on the noise properties of highly conductive molecular devices.Comment: minor differences with published versio

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“…Eventually, universal aspects of many-body phenomena characterize not only equilibrium quantum transport, but also non-equilibrium quantum transport which occurs in the presence of a large source-drain bias V sd . Measures of the conductance 18 and of the current noise 19 of Kondo dots have recently confirmed the expected universality if one measures T or V sd in units of T K . We describe here another universal aspect of linear quantum transport, i.e., the quantum conductance of a spin polarized inversion symmetric doubledot setup should be a universal function of the dimensionless inter-dot hopping t d /T K when T → 0.…”

Section: Anderson Model Kondo Physics Quantum Dots and Universalitymentioning

confidence: 87%

“…Measuring the conductance g of quantum dots created by electrostatic gates, in a 2D electron gas [16][17][18] or in carbon nanotubes 19 , one obtains values which can be on universal curves as functions of T /T K if there is a Kondo effect. Moreover, quantum dots open the possibility to study the Kondo effect as a function of the coupling between the impurity and the continuum of conduction electrons, and not only as functions of the temperature and of the magnetic field.…”

Section: Anderson Model Kondo Physics Quantum Dots and Universalitymentioning

confidence: 99%

Universal scaling of the quantum conductance of an inversion-symmetric interacting model

Freyn

Pichard

2010

Phys. Rev. B

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We consider quantum transport of spinless fermions in a 1D lattice embedding an interacting region (two sites with inter-site repulsion U and inter-site hopping t d , coupled to leads by hopping terms tc). Using the numerical renormalization group for the particle-hole symmetric case, we study the quantum conductance g as a function of the inter-site hopping t d . The interacting region, which is perfectly reflecting when t d → 0 or t d → ∞, becomes perfectly transmitting if t d takes an intermediate value τ (U, tc) which defines the characteristic energy of this interacting model. When t d < tc √ U , g is given by a universal function of the dimensionless ratio X = t d /τ . This universality characterizes the non-interacting regime where τ = t 2 c , the perturbative regime (U < t 2 c ) where τ can be obtained using Hartree-Fock theory, and the non-perturbative regime (U > t 2 c ) where τ is twice the characteristic temperature TK of an orbital Kondo effect induced by the inversion symmetry. When t d < τ , the expression g(X) = 4(X + X −1 ) −2 valid without interaction describes also the conductance in the presence of the interaction. To obtain those results, we map this spinless model onto an Anderson model with spins, where the quantum impurity is at the end point of a semi-infinite 1D lead and where t d plays the role of a magnetic field h. This allows us to describe g(t d ) using exact results obtained for the magnetization m(h) of the Anderson model at zero temperature. We expect this universal scaling to be valid also in models with 2D leads, and observable using 2D semi-conductor heterostructures and an interacting region made of two identical quantum dots with strong capacitive inter-dot coupling and connected via a tunable quantum point contact.

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Universal Scaling in Nonequilibrium Transport through a Single Channel Kondo Dot

Cited by 144 publications

References 30 publications

Universal scaling in transport out of equilibrium through a single quantum dot using the noncrossing approximation

Universal scaling in transport out of equilibrium through a single quantum dot using the noncrossing approximation

Noisy Kondo impurities

Universal scaling of the quantum conductance of an inversion-symmetric interacting model

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