# Self-energy effects and energy band theory for warm dense matter

## TL;DR

This paper investigates the energy band structures in warm dense aluminum and beryllium, introduces a new energy band theory and computational code for WDM, and explores state transitions and ionization effects.

## Contribution

It proposes a novel energy band theory and a corresponding code to improve the modeling of warm dense matter beyond traditional density functional methods.

## Key findings

- Observed self-energy induced band broadening and merging in WDM.
- Simulated equation of state and transport coefficients for medium and low Z WDM.
- Identified the transition boundaries from degenerate to non-degenerate states in WDM.

## Abstract

The energy band structures caused by self-energy shifting that results in bound energy levels broadening and merging in warm dense aluminum and beryllium are observed. An energy band theory for warm dense matter (WDM) is proposed and a new code based on the energy band theory is developed to improve the traditional density functional method. Massive data of the equation of state and transport coefficients for WDM in medium and low Z have been simulated. The transition from fully degenerate to partially degenerate (related to WDM) and finally to non-degenerate state is investigated using the Lorenz number varying with the degeneracy parameter, and the lower and upper parameter boundaries for WDM are achieved. It is shown that the pressure ionization results in the Wiedemann-Franz law no longer available for WDM.