Recent imaging experiments show a surprisingly robust regime of liquid-solid phase coexistence in a two-dimensional electron system near the quantum melting/freezing transition, with the two phases mixed in mesoscopic domains. Strikingly, the experiments find no noticeable difference in electron density between the liquid and solid domains, which is at odds with both microemulsion scenarios and scenarios in which phase coexistence is driven by fluctuations of a long-ranged disorder potential. Here, we show that such phase coexistence without density difference can be induced by random fluctuations of a short-ranged disorder potential. We further show that disorder tends to stabilize the Wigner crystal phase to higher densities, which is also consistent with the experiments.

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• Quantum fluids & solids
• Quantum phase transitions
• Disordered systems
• Strongly correlated systems
• Two-dimensional electron system
• Wigner crystal