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Important examples of where Fermi liquid theory has been successfully applied are most notably electrons in most metals and Liquid He-3.
Liquid He-3 is a Fermi liquid at low temperatures ( but not low enough to be in its superfluid phase.
) He-3 is an isotope of Helium, with 2 protons, 1 neutron and 2 electrons per atom.
Because there is an odd number of fermions inside the atom, the atom itself is also a fermion.
The electrons in a normal ( non-superconducting ) metal also form a Fermi liquid, as do the nucleons ( protons and neutrons ) in an atomic nucleus.
Strontium ruthenate displays some key properties of Fermi liquids, despite being a strongly correlated material, and is compared with high temperature superconductors like cuprates.

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