# Electronic properties and polaronic dynamics of semi-Dirac system within ladder approximation

## TL;DR

This paper explores the unique electronic and polaronic behaviors of semi-Dirac systems, analyzing their anisotropic transport properties and impurity dynamics using analytical and numerical methods within a ladder approximation.

## Contribution

It provides a detailed theoretical analysis of the electronic properties and polaronic effects in semi-Dirac systems, including new calculations of the pair propagator, self-energy, and spectral function.

## Key findings

- Anisotropic conductivity and transport relaxation rates characterized.
- Formation and properties of attractive polarons in semi-Dirac systems elucidated.
- Analytical and numerical results agree on polaronic spectral features.

## Abstract

We investigate the electronic properties of the semi-Dirac system and its polaronic dynamics when coupled with a fermi bath with quadratic dispersion. The electronic anisotropic transport properties and the semiclassical dynamics of the semi-Dirac system are studied, including the density-of-states, conductivity, transport relaxation rate, specific heat, electrical current denity, and free energy. The attractive polaron formed as the semi-Dirac impurity dressed with the particle-hole excitations in a two-dimensional system are studied both analytically and numerically. The pair propagator, self-energy, spectral function are being detailly calculated and discussed.