Universal zero-bias conductance through a quantum wire side-coupled to a quantum dot

Abstract

A numerical renormalization-group study of the conductance through a quantum wire side-coupled to a quantum dot is reported. The temperature and the dot-energy dependence of the conductance are examined in the light of a recently derived linear mapping between the Kondo-regime temperature-dependent conductance and the universal function describing the conductance for the symmetric Anderson model of a quantum wire with an embedded quantum dot. Two conduction paths, one traversing the wire, the other a bypass through the quantum dot, are identified. A gate potential applied to the quantum wire is shown to control the flow through the bypass. When the potential favors transport through the wire, the conductance in the Kondo regime rises from nearly zero at low temperatures to nearly ballistic at high temperatures. When it favors the dot, the pattern is reversed: the conductance decays from nearly ballistic to nearly zero. When the fluxes through the two paths are comparable, the conductance is nearly temperature-independent in the Kondo regime, and a Fano antiresonance in the fixed-temperature plot of the conductance as a function of the dot energy signals interference. Throughout the Kondo regime and, at low temperatures, even in the mixed-valence regime, the numerical data are in excellent agreement with the universal mapping.

arXiv comment12 pages, with 9 figures. Submitted to PRB

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• Universal zero-bias conductance for the single electron transistor. II: Comparison with numerical results
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• 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
• Spin-orbit coupling effects over thermoelectric transport properties in quantum dots
• 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