Phase diagram of two dimensional electron gas in a perpendicular magnetic field around Landau level filling factors ν=1 and ν=3

Abstract

The measured melting curve $T_{m}(ν)$ between the crystal and liquid phases is analyzed using thermodynamics to extract the change of magnetization $ΔM$ as a function of the Landau level filling factor \ $ν,$ near $ν=1$. \ An explanation of $ΔM$($ν)$ is proposed \ in terms of Skyrmions. \ Near $ν=3$, a Wigner crystal is the most probable solid phase, experiments excluding Skyrmions.