Density of states for the Anderson model

Lacroix, C.

doi:10.1088/0305-4608/11/11/020

Cited by 302 publications

(348 citation statements)

References 8 publications

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“…The agreement is even better in the empty orbital regime, Fig.3, where the sum rule is fulfilled to within 5% accuracy. We should mention that our present results are in much better agreement with the exact results than the ones obtained using Lacroix's approximation [14] and shown in [19]. Now we turn our attention to the nonequilibrium case V = 0 in the symmetric situation, where the chemical potentials of the left and right leads are ±V /2.…”

Section: Resultssupporting

confidence: 86%

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Kondo resonance decoherence caused by an external potential

Monreal

2005

Phys. Rev. B

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The Kondo problem, for a quantum dot (QD), subjected to an external bias, is analyzed in the limit of infinite Coulomb repulsion by using a consistent equations of motion method based on a slave-boson Hamiltonian. Utilizing a strict perturbative solution in the leads-dot coupling, T , up to T 4 and T 6 orders, we calculate the QD spectral density and conductance, as well as the decoherent rate that drive the system from the strong to the weak coupling regime. Our results indicate that the weak coupling regime is reached for voltages larger than a few units of the Kondo temperature.

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Section: Resultssupporting

confidence: 86%

“…Eqs. (12)(13)(14) define a set of coupled integral equations in the energy levels of the leads, ǫ k , whose solution yields the Green functions to be introduced in eq. (4).…”

Section: Theorymentioning

confidence: 99%

Kondo resonance decoherence caused by an external potential

Monreal

2005

Phys. Rev. B

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“…56 In this appendix we derive the retarded Green's function to be used for the calculation of the differential conductance. For that purpose we employ the equation of motion technique [48][49][50][51] and in particular the truncation schemes proposed in Refs. 53 and 54.…”

Section: Discussionmentioning

confidence: 99%

“…We consider both cases in which the spin current is either driven by an external source (and therefore constant) or driven by the same electrode (and therefore voltage dependent). By using the equation of motion techniques [48][49][50][51] and comparing various truncation methods to obtain a consistent picture, we show that the Kondo ground state depends sensitively on the spin polarization of the electrode and the spin accumulation that it generates. We investigate both the spin-resolved spectral density of the localized spin and the nonlinear conductance.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium spin-current detection with a single Kondo impurity

et al. 2013

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We present a theoretical study based on the Anderson model of the transport properties of a Kondo impurity (atom or quantum dot) connected to ferromagnetic leads, which can sustain a nonequilibrium spin current. We analyze the case where the spin current is injected by an external source and when it is generated by the voltage bias. Due to the presence of ferromagnetic contacts, a static exchange field is produced that eventually destroys the Kondo correlations. We find that such a field can be compensated by an appropriated combination of the spin-dependent chemical potentials leading to the restoration of the Kondo resonance. In this respect, a Kondo impurity may be regarded as a very sensitive sensor for nonequilibrium spin phenomena.

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“…A non-equilibrium Green's function is constructed through the equations-of-motion (EOM) method. 4,64,65 In the Heisenberg representation, the time-evolution of a Heisenberg operator is determined by its commutator with the corresponding Hamiltonian. This is the essence of the EOM method.…”

Section: Non-equilibrium Green's Function Methodsmentioning

confidence: 99%

Kondo effect in a topological insulator quantum dot

Xin

Zhou

2015

Phys. Rev. B

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We investigate the non-equilibrium transport properties of a topological insulator quantum dot (TIQD) in the Coulomb blockade and Kondo regime theoretically. An Anderson impurity model is applied to a TIQD system coupled to two external leads, and we show that the model realizes the spin-orbital Kondo effect at Dirac point where the edge states are not split by a finite-size effect, leading to an additional SU (4) symmetry because of the presence of strong mixture among four internal degrees of freedom. In a more realistic situation where the degeneracy is lifted due to the finite-size effect, we demonstrate that there is a richer structure in transport measurements. We illustrate a continuous crossover from four (spin and orbital) Coulomb peaks with large inter-pair spacing and small intra-pair spacing to a double-peak structure in the local density of states (LDOS) as increasing the hybridization strength Γ within the Coulomb blockade regime. When temperature falls below the Kondo temperature TK , four Kondo peaks show up in the non-equilibrium LDOS. Two of them are located at the chemical potential of each lead, and the other two are shift away from the chemical potential by the amount proportional to the TIQD's bare energy level, leading to a triple-peak structure in the differential conductance when a bias voltage is applied.

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Density of states for the Anderson model

Cited by 302 publications

References 8 publications

Kondo resonance decoherence caused by an external potential

Kondo resonance decoherence caused by an external potential

Nonequilibrium spin-current detection with a single Kondo impurity

Kondo effect in a topological insulator quantum dot

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