The Kondo Temperature of SU(4) Symmetric Quantum Dots

Abstract

A path integral approach is used to derive a closed analytical expression for the Kondo temperature of the SU(4) symmetrical Anderson model. In contrast to the SU(2) case, the prefactor of the Kondo temperature is found to display a peculiar orbital energy (gate voltage) dependence, reflecting the presence of various SU(4) mixed valence fixed points. Our analytical expressions are tested against and confirmed by numerical renormalization group computations.

4 pages, 5 figures and Suppl. Material

References in corpus (6)

• Orbital Kondo effect in carbon nanotubes
• Observation of the two-channel Kondo effect
• Evolution of SU(4) Transport Regimes in Carbon Nanotube Quantum Dots
• Evolution of the Kondo Effect in a Quantum Dot Probed by the Shot Noise
• Density matrix numerical renormalization group for non-Abelian symmetries
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models

Cited by in corpus (9)

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• Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
• The $SU(4)-SU(2)$ crossover and spin filter properties of a double quantum dot nanosystem
• Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport
• Kondo behavior and conductance through $3d$ impurities in gold chains doped with oxygen
• 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
• Gate-defined Kondo lattices with valley-helical quantum dot arrays
• Three-body Fermi liquid corrections for an infinite-$U$ SU($N$) Anderson impurity model