Most Mott systems display a low-temperature phase coexistence region around the metal-insulator transition. The domain walls separating the respective phases have very recently been observed displaying unusual properties both in simulations and in experiments. First, they often cover a significant volume fraction, thus cannot be neglected. Second, they resemble neither a typical metal nor a standard insulator, displaying unfamiliar temperature dependence of (local) transport properties. Here we take a closer look at such domain wall matter by examining an appropriate unstable solution of the Hubbard model. We show that transport in this regime is dominated by the emergence of “resilient quasiparticles” displaying strong non-Fermi liquid features, reflecting the quantum-critical fluctuations in the vicinity of the Mott point.

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• Electrical conductivity
• Exotic phases of matter
• Metal-insulator transition
• Phase separation
• Mott insulators
• Strongly correlated systems
• Dynamical mean field theory
• Electron-correlation calculations
• Fermi liquid theory
• Hubbard model
• Non-Fermi-liquid theory