Agradecimentos: The work was supported in Brazil by CNPq through Grant No. 307041/2017-4 and Capes through Grant No. 0899/2018 (E.M.). Work in Florida (V.D. and T.-H.L.) was supported by NSF Grant No. 1822258, and the National High Magnetic Field Laboratory through NSF Cooperative Agreement No. 1157490 and the State of Florida. J.V. and D.T. acknowledge funding provided by the Institute of Physics Belgrade through a grant by the Ministry of Education, Science, and Technological Development of the Republic of Serbia. Numerical simulations were performed on the paradox supercomputing facility at the Scientific Computing Laboratory, National Center of Excellence for the Study of Complex Systems, Institute of Physics Belgrade Ver menos

Abstract: 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 Ver menos