Abstract

We have investigated the energy states of a one-dimensional electron gas and analyzed the temperature dependence of the density of states. It is shown that with increasing temperature due to thermal broadening of quantum, levels are blurred.

Highlights

  • The current stage of development of solid state physics is characterized by the fact that the main object of study is increasingly not becoming massive semiconductor crystals and thin films, multi-layer thin-film structures, conductive yarns and crystallites

  • The small size of these structures, in which a direction is comparable to the de Broglie wave, according to the laws of quantum mechanics leads to a change in the energy spectrum of charge carriers [1]

  • This work is devoted to studying the effect of temperature on the density of states of the one-dimensional electron gas (OEG)

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Summary

Introduction

The current stage of development of solid state physics is characterized by the fact that the main object of study is increasingly not becoming massive semiconductor crystals and thin films, multi-layer thin-film structures, conductive yarns and crystallites. Structures in which the movement of charge carriers is free only along one axis, and along the other two limited two-dimensional quantum well, are known as quantum wires or wires. The energy spectrum associated with the movement of charge carriers across the quantum wire is discrete due to the size quantization; and asso-. (2016) Broadening Thermal Energy Levels and Density States Quasi One-Dimensional Electron Gas. Journal of Applied Mathematics and Physics, 4, 706-710. We consider the expression density of states of a quantum wire in view of its temperature dependence. The effect of temperature on the thermodynamic density of states of a quantum wire has not been studied. The aim of this work is to study the effect of temperature on the thermodynamic density of states of a quantum wire

Energy Spectrum and Density of States
Temperature Dependence of the Density of States
Conclusion
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