# Quantum-statistical theory for laser-tuned transport and optical conductivities of dressed electrons in $\alpha-\mc{T}_3$ materials

## TL;DR

This paper develops a quantum-statistical framework to analyze how laser irradiation influences the transport and optical conductivities of dressed electrons in $ ext{α-} ext{T}_3$ materials, revealing strong dependence on lattice structure and plasmon behavior.

## Contribution

It introduces a detailed many-body formalism for $ ext{α-} ext{T}_3$ lattices under irradiation, highlighting the impact of the lattice parameter on electronic and plasmonic properties.

## Key findings

- Conductivities depend strongly on the lattice parameter $ ext{α}$.
- Plasmon modes show unique dispersion and damping features with varying $ ext{α}$.
- Transport conductivity decreases under irradiation, with implications for device design.

## Abstract

In the presence of external off-resonance and circularly-polarized irradiation, we have derived a many-body formalism and performed a detailed numerical analysis for both the conduction and optical currents in $\alpha-\mc{T}_3$ lattices. The calculated complex many-body dielectric function, as well as conductivities of displacement and transport currents, display strong dependence on the lattice-structure parameter $\alpha$, especially approaching the graphene limit with $\alpha \to 0$. Unique features in dispersion and damping of plasmon modes are observed with different $\alpha$ values, which are further accompanied by a reduced transport conductivity under irradiation. The discovery in this paper can be used for designing novel multi-functional nanoelectronic and nanoplasmonic devices.