Universal zero-bias conductance for the single electron transistor. II: Comparison with numerical results

Abstract

A numerical renormalization-group survey of the zero-bias electrical conductance through a quantum dot embedded in the conduction path of a nanodevice is reported. The results are examined in the light of a recently derived linear mapping between the temperature-dependent conductance and the universal function describing the conductance for the symmetric Anderson model. A gate potential applied to the conduction electrons is known to change markedly the transport properties of a quantum dot side-coupled to the conduction path; in the embedded geometry here discussed, a similar potential is shown to affect only quantitatively the temperature dependence of the conductance. As expected, in the Kondo regime the numerical results are in excellent agreement with the mapped conductances. In the mixed-valence regime, the mapping describes accurately the low-temperature tail of the conductance. The mapping is shown to provide a unified view of conduction in the single-electron transistor.

Sequel to arXiv:0906.4063. 9 pages with 8 figures

References in corpus (10)

• The numerical renormalization group method for quantum impurity systems
• Inelastic electron tunneling via molecular vibrations in single-molecule transistors
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• Kondo resonances and anomalous gate dependence of electronic conduction in single-molecule transistors
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• Finite-temperature conductance signatures of quantum criticality in double quantum dots
• Universal zero-bias conductance through a quantum wire side-coupled to a quantum dot
• Thermal dependence of the zero-bias conductance through a nanostructure
• Fano Effect in a Few-Electron Quantum Dot

Cited by in corpus (21)

• Fano-Kondo effect in side-coupled double quantum dots at finite temperatures and the importance of the two-stage Kondo screening
• Spin-thermopower in interacting quantum dots
• Direct measurement of the Seebeck coefficient in a Kondo-correlated single-quantum-dot transistor
• Voltage quench dynamics of a Kondo system
• Generalization of the Time-Dependent Numerical Renormalization Group Method to Finite Temperatures and General Pulses
• Conductance scaling in Kondo correlated quantum dots: role of level asymmetry and charging energy
• Detection of Majorana edge states in topological superconductors through the non-Fermi-liquid effects induced in an interacting quantum dot
• Magnetic Field Universality of the Kondo Effect Revealed by Thermocurrent Spectroscopy
• Nonequilibrium thermoelectric transport through vibrating molecular quantum dots
• Universal zero-bias conductance through a quantum wire side-coupled to a quantum dot
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots
• Magnetic field dependence of the thermopower of Kondo-correlated quantum dots: Comparison with experiment
• Influence of phonon-assisted tunneling on the linear thermoelectric transport through molecular quantum dots
• Isolating Majorana fermions with finite Kitaev nanowires and temperature: the universality of the zero-bias conductance
• Orbital caloritronic transport in strongly interacting quantum dots
• Universality and thermoelectric transport properties of quantum dot systems
• Leading temperature dependence of the conductance in Kondo-correlated quantum dots
• Spin-orbit coupling effects over thermoelectric transport properties in quantum dots
• How sharply does the Anderson model depict a single-electron transistor?
• Non-Zeeman splitting for a spin-resolved STM with a Kondo adatom in a spin-polarized two-dimensional electron gas
• Transport in Single Quantum Dots: A Review from Linear Response to Nonlinear Regimes