# Transport through periodically driven systems: Green's function approach formulated within frequency domain

## TL;DR

This paper introduces a frequency domain Green's function approach using Floquet-Sambe formalism for calculating steady-state electronic transport in periodically driven systems, simplifying numerical implementation.

## Contribution

It presents a novel frequency domain Green's function scheme for transport calculations, offering a more direct and universal method compared to traditional time-dependent approaches.

## Key findings

- Expressions for time-periodic currents match time-independent formulas
- Approach simplifies numerical computations
- Method effectively handles periodically driven quantum systems

## Abstract

The steady-state electronic transport across periodically driven systems can be efficiently addressed using Landauer-B\"{u}ttiker formalism. The time-dependent nonequilibrium Green's function theory then may be adapted for developing direct and universal calculation schemes. Here we propose an alternative scheme to carry out the calculations. The idea is based on treating the transport problem in frequency domain and designing Green's functions for the corresponding Hamiltonians rewritten in Floquet-Sambe formalism. We show that within our approach the expressions for time-periodic currents and densities essentially replicate the well known formulas from time-independent theory. The results are then simplified for easier implementation in numeric computations.