Kondo temperature of Anderson impurity model in a quantum wire with spin-orbit coupling

TL;DR

This study investigates how spin-orbit coupling influences the Kondo temperature in a quantum wire with an Anderson impurity, using quantum Monte Carlo and slave-boson methods, revealing a nearly linear suppression of the Kondo temperature.

Contribution

It provides a comparative analysis of two methods to estimate the Kondo temperature under spin-orbit coupling, highlighting a linear suppression trend not captured by perturbative approaches.

Findings

Kondo temperature decreases linearly with spin-orbit energy.

Both methods agree on the suppression effect.

Results differ from perturbative renormalization group predictions.

Abstract

We use two different methods, the Hirsch-Fye quantum Monte Carlo simulation and the slave-boson mean field analysis to estimate the effect of spin-orbit coupling on the Kondo temperature in a quantum wire. In quantum Monte Carlo simulation, we calculate the product of spin susceptibility and temperature for different spin-orbit couplings and impurity energies. The variation of the Kondo temperature is estimated via the low temperature universal curves. In the mean field analysis, the Kondo temperature is estimated as the condensation temperature of slave-boson. Both the two methods demonstrate that the Kondo temperature is almost a linear function of the spin-orbit energy, and that the Kondo temperature is suppressed by the spin-orbit coupling. Our results are dramatically different from those given by the perturbative renormalization group analysis.