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.

arXiv comment4 pages, 5 figures and Suppl. Material

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• Quantum Fluctuations along Symmetry Crossover in Kondo-correlated Quantum Dot
• Numerical sub-gap spectroscopy of double quantum dots coupled to superconductors
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• Conditions for observing emergent SU(4) symmetry in a double quantum dot
• Restoring the SU(4) Kondo regime in a double quantum dot system
• Spin-orbital and spin Kondo effects in parallel coupled quantum dots
• Bayesian parametric analytic continuation of Green's functions
• The $SU(4)-SU(2)$ crossover and spin filter properties of a double quantum dot nanosystem
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• First-principles quantum transport simulation of CuPc on Au(111) and Ag(111)
• Width of the charge-transfer peak in the SU(N) impurity Anderson model and its relevance to non-equilibrium transport
• Two-stage three-channel Kondo physics for an FePc molecule on the Au(111) surface
• Kondo behavior and conductance through $3d$ impurities in gold chains doped with oxygen
• Intra- and inter-shell Kondo effects in carbon nanotube quantum dots
• 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