# Transport through a magnetic impurity: a slave-spin approach

## TL;DR

This paper introduces a slave-spin technique to analyze electron transport through magnetic impurities, capturing key phenomena like the zero-bias anomaly and bias-induced peaks, and extends it to study quantum dot dynamics under time-dependent conditions.

## Contribution

The paper develops a constraint-free slave-spin mean-field method for transport and out-of-equilibrium dynamics in quantum impurity systems, providing a new computational approach.

## Key findings

- Reproduces zero-bias conductance anomaly.
- Captures bias-induced conductance peaks at U.
- Models transient evolution and dissipation in quantum dots.

## Abstract

We study transport across a magnetic impurity by means of a recently developed slave-spin technique that does not require any constraint. Within a conserving mean-field approximation we find a conductance that displays both the known zero-bias anomaly but also the expected peak at bias of order U. We extend the slave-spin mean-field approximation to study the out of equilibrium transient evolution of a quantum dot. We apply the method to investigate the time-evolution of a quantum dot induced by a time-dependent electrochemical potential applied to the contacts. Similarly to the time-dependent Gutzwiller approximation, the mean-field slave-spin dynamics is able to capture dissipation in the leads, so that a steady-state is reached after a characteristic relaxation time.