The Symmetries of Fermion Fluids at Low Dimensions

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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submitted to a volume honoring Quin Luttinger

Scientific paper

We point out that the quasiparticle spectrum of the Landau Fermi liquid
theory has an extra $Z_2$ symmetry, local in momentum space, which is not
generic to the Hamiltonian with interactions. Thus the Fermi liquid is in this
sense a (quantum) zero-temperature critical point.

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