Fermi Liquid Theory for Nonlinear Transport through a Multilevel Anderson Impurity

Teratani, Yoshimichi; Sakano, Rui; Oguri, Akira

doi:10.1103/physrevlett.125.216801

Cited by 13 publications

(13 citation statements)

References 36 publications

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“…Low-energy behavior of the retarded self-energy under a finite bias voltage has been determined previously up to terms of order (eV ) 2 as well as order ω 2 and T 2 terms, mentioned above. 30,32 We will describe alternative derivation later in Sec. V in an extended way, using the generalized Ward identity which we have obtained in the present work at finite eV and T .…”

Section: ∂ ∂ωmentioning

confidence: 99%

“…51 We have the calculated the three-body correlation functions of the SU(N ) Anderson model for N = 4, 6, using the NRG in the previous paper. 32,33 The results show that, for strong interactions U ∆, the three-body correlations are characterized by a single parameter over a wide continuous filling-range 1 N d N − 1, including the intermediate valence regions in between two adjacent integer-filling points M and M +1 for M = 1, 2, . .…”

Section: B Nonlinear Current Noisementioning

confidence: 99%

“…(3.7). We have also examined behaviors of the threebody susceptibilities of multilevel Anderson models in a wide range of impurity-electron fillings, [31][32][33] using the numerical renormalization group (NRG) approach. 34,35 Moreover, three-body correlations between electrons in quantum dots have recently been deduced successfully from nonlinear magnetoconductance measurements.…”

Section: Introductionmentioning

confidence: 99%

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Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime

Oguri,

Teratani,

Tsutsumi

et al. 2021

Preprint

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We present a complete microscopic Fermi-liquid description for next-to-leading order transport through an Anderson impurity under a finite bias voltage V . It is applicable to multilevel quantum dots without particle-hole nor time-reversal symmetry, and is constructed based on the nonequilibrium Keldysh formalism, taking into account the current conservation between electrons in the impurity levels and the conduction bands. Specifically, we derive the formula for the current noise generated in the steady flow up to terms of order (eV ) 3 at zero temperature T = 0. To this end, we calculate the Keldysh vertex functions Γ ν 1 ν 2 ;ν 3 ν 4 σσ ;σ σ (ω, ω ; ω , ω), which depend on branches ν1, ν2, ν3 and ν4 of the time-loop contour and on spin degrees of freedom σ and σ , up to linear-order terms with respect to eV , T , and frequencies ω and ω . The coefficients of these linear-order terms are determined by a set of the parameters, defined with respect to the equilibrium ground state: the phase shift, static susceptibilities, and nonlinear three-body susceptibilities of the impurity electrons. The low-energy expressions of the vertex components are shown to satisfy the Ward identities with the Keldysh Green's functions expanded up to terms of order ω 2 , (eV ) 2 , and T 2 . We also find that the imaginary part of the Ward identities can be described in terms of the eV -dependent collision integrals for a single-quasiparticle excitation and that for a single quasiparticle-quasihole pair excitation. These collision integrals ensure the current conservation of the next-to-leading order Fermi-liquid transport due to the quasiparticles with a finite damping rate.

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Section: ∂ ∂ωmentioning

confidence: 99%

Section: B Nonlinear Current Noisementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime

Oguri,

Teratani,

Tsutsumi

et al. 2021

Preprint

Self Cite

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“…We emphasize that the local Fermi liquid approach of Equation ( 8) can be extended to perturbatively include inelastic scattering and higher-order energy corrections and relate these terms to thermodynamic observables. This program has been realized in detail for the Anderson and Kondo models [57][58][59][60][61][62][63][64]91].…”

Section: The Role Of the Friedel Sum Rule In Local Fermi Liquid Theoriesmentioning

confidence: 99%

“…[50], Figure 2. Section 3 discusses how the effective LFL approach [57][58][59][60][61][62][63][64] provides the unified framework describing such coherent phenomena. In Section 4, we consider the study of the low-energy dynamics of the mesoscopic capacitor, in which the LFL approach has been fruitfully applied [65][66][67][68][69], showing novel quantum coherent effects.…”

Section: Introductionmentioning

confidence: 99%

Phase-Coherent Dynamics of Quantum Devices with Local Interactions

Filippone

Marguerite

Hur

et al. 2020

Entropy

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This review illustrates how Local Fermi Liquid (LFL) theories describe the strongly correlated and coherent low-energy dynamics of quantum dot devices. This approach consists in an effective elastic scattering theory, accounting exactly for strong correlations. Here, we focus on the mesoscopic capacitor and recent experiments achieving a Coulomb-induced quantum state transfer. Extending to out-of-equilibrium regimes, aimed at triggered single electron emission, we illustrate how inelastic effects become crucial, requiring approaches beyond LFLs, shedding new light on past experimental data by showing clear interaction effects in the dynamics of mesoscopic capacitors.

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Three-body correlations in nonlinear response of correlated quantum liquid

et al. 2021

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Behavior of quantum liquids is a fascinating topic in physics. Even in a strongly correlated case, the linear response of a given system to an external field is described by the fluctuation-dissipation relations based on the two-body correlations in the equilibrium. However, to explore nonlinear non-equilibrium behaviors of the system beyond this well-established regime, the role of higher order correlations starting from the three-body correlations must be revealed. In this work, we experimentally investigate a controllable quantum liquid realized in a Kondo-correlated quantum dot and prove the relevance of the three-body correlations in the nonlinear conductance at finite magnetic field, which validates the recent Fermi liquid theory extended to the non-equilibrium regime.

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Fermi Liquid Theory for Nonlinear Transport through a Multilevel Anderson Impurity

Cited by 13 publications

References 36 publications

Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime

Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime

Phase-Coherent Dynamics of Quantum Devices with Local Interactions

Three-body correlations in nonlinear response of correlated quantum liquid

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