Temperature-dependent crossover in fractional quantum Hall edges in the presence of Coulomb interaction

Based on a newly derived microscopic fractional quantum Hall edge model, we study its thermodynamics at finite temperature. For the dressed energy spectrum a critical energy scale determined by the temperature exists, below which the refractive dispersion which is essential to the model's bosonization to a Luttinger liquid is smeared. According to this observation, a temperature-dependent crossover picture is proposed, and applied to the analysis of a recent tunneling experiment in comparison with the standard Luttinger liquid theory, and a better fit to the features of the measured conductance-temperature curve is achieved. We also consider the role of the Coulomb interaction in the thermodynamics and find that a crossover exists during which the influence of the Coulomb interaction is suppressed with the increase of temperature.