A general spinful Luttinger liquid with broken P and T but intact PT symmetry gaps out the spin sector, producing an effective spinless Luttinger liquid with asymmetric velocities.
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Torsion Induced Asymmetric Luttinger Liquids
A general spinful Luttinger liquid with broken P and T but intact PT symmetry gaps out the spin sector, producing an effective spinless Luttinger liquid with asymmetric velocities.