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The phase diagram of an interacting two-dimensional electron system in a highmagnetic field is enriched by the varying form of the effective Coulombinteraction, which depends strongly on the Landau level index. While thefractional quantum Hall states that dominate in the lower energy Landau levelshave been explored experimentally in a variety of two-dimensional systems, muchless work has been done to explore electron solids owing to their subtletransport signatures and extreme sensitivity to disorder. Here we use chemicalpotential measurements to map the phase diagram of electron solid states in$N=2$, $N=3$, and $N=4$ Landau levels in monolayer graphene. Direct comparisonbetween our data and theoretical calculations reveals a cascade ofdensity-tuned phase transitions between electron bubble phases up to two, threeor four electrons per bubble in the N=2, 3 and 4 Landau levels respectively.Finite temperature measurements are consistent with melting of the solids forT$\approx$1K.

Cascade of multi-electron bubble phases in monolayer graphene at high Landau level filling