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Universal behavior of strongly correlated Fermi systemsa B.P. Konstantinov St. Petersburg Institute of Nuclear Physics, Russian Academy of Sciences, Gatchina, Leningrad Region, Rusian Federation b Ioffe Institute, ul. Polytekhnicheskaya 26, St. Petersburg, 194021, Russian Federation c Komi Scientific Center, Ural Branch of the Russian Academy of Sciences, ul. Chernova 3a, Syktyvkar, Respublika Komi, 167982, Russian Federation This review discusses the construction of а theory and the analysis of phenomena occurring in strongly correlated Fermi systems such as high-Тc superconductors, heavy-fermion metals, and quasi-two-dimensional Fermi systems. It is shown that the basic properties and the universal behavior of strongly correlated Fermi systems can be described in the framework of the Fermi-condensate quantum phase transition and the well-known Landau paradigm of quasiparticles and the order parameter. The concept of fermion condensation may be fruitful in studying neutron stars, finite Fermi systems, ultra-cold gases in traps, and quark plasma.
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