The temperature dependence of the chemical potential in a half-filled Landau subband of a two-dimensional electron gas (2DEG), modeled using a Gaussian density of states (DOS), has been investigated through detailed numerical simulations. A characteristic temperature interval \(0-{T}^{*}\) is identified, within which the chemical potential remains nearly constant and close to the Fermi energy \({E}_{F}\) . The variation of \({T}^{*}\) with the effective mass, filling factor, and broadening parameter \(\Gamma\) is systematically analyzed. Temperature-dependent filling factors of Landau levels are also calculated, clarifying the mechanism by which asymmetric inter-subband transitions drive the deviation of \(\mu\) from \({E}_{F}\) . The results show good agreement with available experimental data for 2DEG systems and provide a solid theoretical basis for interpreting magnetization, entropy, and heat capacity measurements in quantizing magnetic fields. These findings deepen the understanding of the thermodynamics of quantized states in two-dimensional electron gases and underlines their significance for contemporary low-temperature physics.
