Disorder Effects and Phase Separation in Lattice Models, 2DEG, and Weyl Semimetals

We study electronic phase separation in cuprates in the framework of the repulsive-U Hubbard model and the \(t-J\) model. We present the basic theoretic ideas important for the physics of stripes as well as recent experimental papers on phase separation in cuprates and iron-based SC. We discuss phase separation in 2DEG and disorder effects in Weyl Weylsystem systemsSystemWeyl related to the diffusive metal–semimetal phase transitionTransitionmetal–semimetal. We comment briefly on the interesting subject of the chiral anomalyAnomalychiral anomaly, which determines longitudinalMagnetoresistancelongitudinal magnetoresistance of topological materials and its possible suppression by large concentration of impurities in the ultraquantum limit.