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Topological degeneracy and pairing in a one-dimensional gas of spinless fermions

Topological degeneracy and pairing in a one-dimensional gas of spinless fermions

We revisit the low-energy physics of one-dimensional spinless fermion liquids, showing that with sufficiently strong interactions the conventional Luttinger liquid can give way to a strong-pairing phase. While the density fluctuations in both phases are described by a gapless Luttinger liquid, single fermion excitations are gapped only in the strong-pairing …