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No , Fermi Surface is not always spherical . Because the kinetic energy is not same.
Lifshitz transition is a change of the topology of the Fermi surface.
The spelling Fermi is an Italian surname, notably physicist Enrico Fermi (1901-1954).
Laura Fermi, an American author and wife of physicist Enrico Fermi, passed away on December 26, 1977.
EUR Fermi was created in 1955.