Full counting statistics in the self-dual interacting resonant level model

TL;DR

This paper introduces a method to compute full counting statistics at zero temperature for charge transfer in interacting impurity models, validated on the self-dual interacting resonant level model with insights into quasiparticle charges.

Contribution

The paper develops a general technique for zero-temperature full counting statistics from lattice simulations and applies it to an interacting model, showing agreement with analytical solutions.

Findings

Quasiparticles carry charge 2e at low bias.

Quasiparticles carry charge e/2 at high bias.

Numerical results agree with thermodynamic Bethe ansatz.

Abstract

We present a general technique to obtain the zero temperature full counting statistics of charge transfer in interacting impurity models out of equilibrium from time-dependent simulations on a lattice. We demonstrate the technique with application to the self-dual interacting resonant level model, where very good agreement between numerical simulations using the density matrix renormalization group and those obtained analytically from the thermodynamic Bethe ansatz is found. We show from the exact form of counting statistics that the quasiparticles involved in transport carry charge $2e$ in the low bias regime, and $e/2$ in the high bias regime.