The 2DES chemical potential: Revealing the link from the classical to the quantum Hall regime


A two-dimensional electron system under a magnetic field was studied numerically particularly, the temperature dependence of its chemical potential. For all fillings ν the chemical potential μ saturated to a common value at high temperature T - the classical Hall region. Approaching low T, the quantum Hall regime, μ followed varying paths depending on ν. For the complete fillings, μ showed a knee temperature Tν pointing to the juncture between the two regimes. This crossover, characterized by Tν being constant, indicates the balance between the localization and delocalization effects of the magnetic field and temperature, respectively.