Correlation energy beyond Hartree-Fock selects valley polarization when valleys are related by n-fold rotation (n>2) or mirror, and spin polarization when they are related by time-reversal or C2, independent of most band details.
various screen- ing gate geometries, and different electron dispersions one may have to adopt somewhat different methods to define rs
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Symmetry-determined generalized ferromagnetism in multi-valley electron fluids
Correlation energy beyond Hartree-Fock selects valley polarization when valleys are related by n-fold rotation (n>2) or mirror, and spin polarization when they are related by time-reversal or C2, independent of most band details.