# Absence of Coulomb Blockade in the Anderson Impurity Model at the Symmetric Point

## TL;DR

This paper demonstrates that at the symmetric point, the Anderson impurity model exhibits no Coulomb blockade effects, with the steady-state current indistinguishable from a non-interacting model, challenging expectations of many-body interactions.

## Contribution

It shows that at the symmetric point, the Anderson impurity model's steady-state current mimics a non-interacting system, revealing the absence of Coulomb blockade effects.

## Key findings

- Steady-state current matches non-interacting models at the symmetric point.
- Both methods accurately predict current in Coulomb blockade regime.
- Many-body interactions do not influence the current at this symmetry point.

## Abstract

In this work, we investigate the characteristics of the electric current in the so-called symmetric Anderson impurity model. We study the nonequilibrium model using two complementary approximate methods, the perturbative quantum master equation approach to the reduced density matrix, and a self-consistent equation of motion approach to the nonequilibrium Green's function. We find that at a particular symmetry point, an interacting Anderson impurity model recovers the same steady-state current as an equivalent non-interacting model, akin a two-band resonant level model. We show this in the Coulomb blockade regime for both high and low temperatures, where either the approximate master equation approach and the Green's function method provide accurate results for the current. We conclude that the steady-state current in the symmetric Anderson model at this regime does not encode characteristics of a many-body interacting system.