Supersymmetry And Electron-hole Excitation in Semiconductor At Finite Temperature

TL;DR

This paper investigates electron-hole excitations in semiconductors at finite temperature using a supersymmetric approach, revealing that paired fermionic and bosonic states maintain their relationship despite temperature effects.

Contribution

It introduces a unified quasi-supersymmetric framework for analyzing electron-hole excitations at finite temperature, showing the pairing persists with temperature-dependent parameters.

Findings

Fermionic and bosonic excitations form pairs at finite temperature.

Supersymmetry is effectively restored through coupling redefinition.

Excited states can transmute into each other despite temperature dependence.

Abstract

The fermionic and bosonic electron-hole low lying excitations in a semiconductor are analyzed at finite temperature in a unified way following Nambu's quasi-supersymmetric approach for the BCS model of superconductivity. The effective lagrangian for the fermionic modes and for the bosonic low lying collective excitations in the semiconductor is no longer supersymmetric in a conventional finite temperature treatment. However the bosonic excitations don't couple directly to the heat bath and as a result, quasisupersymmetry is restored to the effective lagrangian when a redefinition of the coupling constant associated with the collective excitations is performed. Our result shows that although the mass and coupling parameters are now temperature dependent, the fermion and boson excited states pair together and can still be transmuted into one another.