The Interplay of Landau Level Broadening and Temperature on Two-Dimensional Electron Systems

TL;DR

This paper explores how low temperature and Landau level broadening affect the thermodynamic properties of two-dimensional electron systems, revealing temperature-dependent effects on excitations and broadening influence.

Contribution

It provides a detailed analysis of the combined effects of temperature and Landau level broadening on thermodynamic properties, highlighting the temperature-dependent significance of broadening.

Findings

Interlevel excitations become negligible below a certain temperature.

Landau level broadening effects diminish at low temperatures.

Different broadening parameters cause variations in excitation contributions.

Abstract

This work investigates the influence of low temperature and broadened Landau levels on the thermodynamic properties of two-dimensional electron systems. The interplay between these two physical parameters on the magnetic field dependence of the chemical potential, the specific heat and the magnetization is calculated. In the absence of a complete theory that explains the Landau level broadening, experimental and theoretical studies in literature perform different model calculations of this parameter. Here it is presented that different broadening parameters of Gaussian-shaped Landau levels cause width variations in their contributions to interlevel and intralevel excitations. Below a characteristic temperature, the interlevel excitations become negligible. Likewise, at this temperature range, the effect of the Landau level broadening vanishes.