Two-color Fermi liquid theory for transport through a multilevel Kondo impurity

Abstract

We consider a quantum dot with $\mathcal{K}\ge 2$ orbital levels occupied by two electrons connected to two electric terminals. The generic model is given by a multi-level Anderson Hamiltonian. The weak-coupling theory at the particle-hole symmetric point is governed by a two-channel $S=1$ Kondo model characterized by intrinsic channels asymmetry. Based on a conformal field theory approach we derived an effective Hamiltonian at a strong-coupling fixed point. The Hamiltonian capturing the low-energy physics of a two-stage Kondo screening represents the quantum impurity by a two-color local Fermi-liquid. Using non-equilibrium (Keldysh) perturbation theory around the strong-coupling fixed point we analyze the transport properties of the model at finite temperature, Zeeman magnetic field and source-drain voltage applied across the quantum dot. We compute the Fermi-liquid transport constants and discuss different universality classes associated with emergent symmetries.

arXiv comment16 pages, 13 figures

References in corpus (37)

• Bosonization and Strongly Correlated Systems
• Revival of the Kondo effect
• Kondo effect in an integer-spin quantum dot
• Observation of the two-channel Kondo effect
• Coulomb blockade at almost perfect transmission
• Kondo effect in quantum dots
• Direct Coulomb and Exchange Interaction in Artificial Atoms
• Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
• Kondo effect in real quantum dots
• Two-stage Kondo effect in a quantum dot at high magnetic field
• Magnetic impurity formation in quantum point contacts
• The Kondo effect in quantum dots at high voltage: Universality and scaling
• Quantum Phase Transition in a Multi-Level Dot
• Enhancement of Kondo effect in quantum dots with an even number of electrons
• Pedestrian Approach to the Two-Channel Kondo Model
• Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
• Singlet-triplet transition in a single-electron transistor at zero magnetic field
• Kondo effect induced by a magnetic field
• Theory of non-equilibrium transport in the SU(N) Kondo regime
• Singular Dynamics of Underscreened Magnetic Impurity Models
• Singlet-Triplet Transition in lateral Quantum Dots: A Numerical Renormalization Group Study
• Fermi-liquid theory for the single-impurity Anderson model
• Singlet-triplet transition in a lateral quantum dot
• Singular conductance of a spin 1 quantum dot
• Current noise through a Kondo quantum dot in a SU(N) Fermi liquid state
• Conformal Field Theory Approach to the Kondo Effect
• Shot Noise in SU(N) Quantum Dot Kondo Effects
• Higher-order Fermi-liquid corrections for an Anderson impurity away from half-filling III: non-equilibrium transport
• Fermi liquid theory for SU(N) Kondo model
• Higher-order Fermi-liquid corrections for an Anderson impurity away from half-filling
• Conductance of a spin-1 quantum dot: the two-stage Kondo effect
• On the relation between the 0.7-anomaly and the Kondo effect: Geometric Crossover between a Quantum Point Contact and a Kondo Quantum Dot
• Thermoelectric Transport through SU(N) Kondo Impurity
• Higher-order Fermi-liquid corrections for an Anderson impurity away from half-filling II: equilibrium properties
• Equilibrium Fermi-liquid coefficients for the fully screened N-channel Kondo model
• Transport properties of fully screened Kondo models
• Kondo physics in a Ni impurity embedded in O-doped Au chains

Cited by in corpus (22)

• Evolution and universality of Two-stage Kondo effect in single manganese phthalocyanine molecule transistors
• Relation between width of the zero-bias anomaly and Kondo temperaure in transport measurements through correlated quantum dots: Effect of asymmetric coupling to the leads
• Nonlinear Seebeck effect of SU($N$) Kondo impurity
• Fermi liquid theory for nonlinear transport through a multilevel Anderson impurity
• Universal Thermal Entanglement of Multichannel Kondo Effects
• Dissipative realization of Kondo models
• Wiedemann-Franz law in scattering theory revisited
• Current noise and Keldysh vertex function of an Anderson impurity in the Fermi liquid regime
• Variational approach to the dynamics of dissipative quantum impurity models
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Full counting statistics of the two-stage Kondo effect
• Thermoelectric properties of a double quantum dot out of equilibrium in Kondo and intermediate valence regimes
• Effects of strong electron interactions and resonance scattering on power output of nano-devices
• Role of asymmetry in thermoelectric properties of a double quantum dot out of equilibrium
• Thermoelectric transport and current noise through a multilevel Anderson impurity: Three-body Fermi-liquid corrections in quantum dots and magnetic alloys
• The PointGroupNRG code for numerical renormalization group calculations with discrete point-group symmetries
• Transport in Single Quantum Dots: A Review from Linear Response to Nonlinear Regimes
• Multistage Kondo effect in a multiterminal geometry: A modular quantum interferometer
• Transmission phase evolution in fully screened and overscreened Kondo impurities
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model
• Three-body Fermi-liquid corrections for Andreev transport through quantum dots
• Yu-Shiba-Rusinov multiplets and clusters of multiorbital adatoms in superconducting substrates: Subgap Green's function approach