Universality of the conductance in quantum dot transport

TL;DR

This paper demonstrates that the conductance in quantum dot systems described by the Anderson model exhibits universal behavior across different temperature regimes, aligning with experimental data and renormalization group calculations.

Contribution

It provides a detailed analytical analysis showing universality in quantum dot conductance at both low and high temperatures, connecting theoretical models with experimental observations.

Findings

Universal conductance behavior at low temperatures

Agreement with empirical formulas for experimental data

Consistency with renormalization group results at high temperatures

Abstract

We revisited the scaling behavior of the transport properties of a quantum dot system described by the spin-1/2 Anderson model using analytical methods. In the low temperature limit we show that the conductance has a universal behavior with universality between temperature and bias. We compare this result with the empirical formula used to fit the experimental data for conductance in the case of the equilibrium transport through a single channel quantum dot. In the high temperature limit the conductance obtained from the Anderson model is compared with previous results obtained from the Kondo model. The universal behavior is present also in the high temperature limit. These results are in good agreement with the Renormalization group calculations.