Titlebook: Electronic Phase Separation in Magnetic and Superconducting Materials; Recent Advances Maxim Yu. Kagan,Kliment I. Kugel,Artem O. Sboychak B

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General Thinking About InflammationHere, we briefly underline the list of unresolved problems important to the physics of phase separation in the strongly correlated matter.

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,Introduction. Spontaneously Formed Nanoscale Inhomogenieties in Different Materials,We provide an introduction to the subject of phase separation and briefly recollect very different systems (ranging from quantum gases and magnetic oxides to high . superconductors and rotating neutron stars), where the phase separation takes place.

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,Charge Ordering and Phase Separation,We consider an instability of the checkerboard charged ordered state toward phase separation in the Verwey and Shubin–Vonsovsky models when we are away from the quarter filling (.). We find the polaronic radius in the extended model with AFM interaction and Coulomb repulsion at the neighboring sites.

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,Phase Separation in Strongly Correlated Systems with Two Electron Bands,We discuss the tendency toward phase separation in the two-band model with intraband and interband Coulomb interaction at a large mismatch in the electron densities of the bands.

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,Effects of Orbital Degrees of Freedom, Different Shapes of Polarons,We consider the formation of orbital polarons (which contain only one type of . orbitals in the ferro-orbital state) in the matrix of the checkerboard (antiferro) . orbitals of two different types in the transition metals compounds. We analyze different shapes of orbital polarons in 2D systems.

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,Phase Separation in Graphene-Based Systems,We consider the phase separation of hydrogen atoms adsorbed onto graphene. We analyze also the instability of the Fermi liquid of the AA stacked bilayer graphene and the phase separation in twisted bilayer graphene.

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Conclusions. Some Additional Problems,Here, we briefly underline the list of unresolved problems important to the physics of phase separation in the strongly correlated matter.