Thermodynamics of Quantum Hall Ferromagnets

The two-dimensional interacting electron gas at Landau level filling factor $\nu =1\mathrm{}$ and temperature $T=0\mathrm{}$ is a strong ferromagnet; all spins are completely aligned by arbitrarily weak Zeeman coupling. We report on its thermodynamic properties using a many-body perturbation theory approach and concentrating on the recently measured temperature dependence of the spin magnetization. We discuss the interplay of collective and single-particle aspects of the physics and the opportunities for progress in our understanding of itinerant electron ferromagnetism presented by quantum Hall ferromagnets.