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Fermi-gas approach to the problem of superfluidity in three- and two- dimensional solutions of 3He in 4HeKapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation New experimental approaches and theoretical results concerning the search for superfluidity in three- and two-dimensional solutions of 3He in 4He are reviewed. Estimates for the s-wave and p-wave pairing temperatures are given for both unpolarised and polarised cases. The role of monolayers and submonolayers of 3He as an ideal-purity two-dimensional system for experimental verification of various current theories of high-temperature superconductivity is emphasised.
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