Effect of temperature on the binding energy of a shallow hydrogenic impurity in a Quantum Well Wire

TL;DR

This study investigates how temperature variations influence the binding energy of a shallow hydrogenic impurity in a GaAs/AlGaAs quantum well wire, revealing increased binding energy at lower temperatures.

Contribution

It provides quantitative analysis of temperature effects on impurity binding energy in quantum well wires, a topic not extensively explored before.

Findings

Binding energy increases by 11% at 100 K compared to 300 K.

Binding energy increases by 23% at 500 K compared to 300 K.

Temperature significantly affects impurity binding energies in quantum wires.

Abstract

This work studies the effect of temperature on the binding energy of a shallow hydrogenic impurity located on the axis of a cylindrical semiconductor GaAs Al_x Ga_{1-x} As quantum well wire. The results show that the binding energy at a low temperature of 100 K is increased by about 11% over that associated with nearly room temperature, $300 K$, and is also increased by about 23% over that associated with temperature of 500 K.