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Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions

Naoto Nagaosa·Masaki Oshikawa
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Abstract

Semiclassical approach has been developed for the one-dimensional interacting fermion systems. Starting from the incommensurate spin density wave (SDW) mean field state for the repulsive Hubbard model in 1D, the non-Abelian bosonized Lagrangian describing the spin-charge separation is obtained. The Berry phase term is derived from the chiral anomaly, and we obtain the massless Tomonaga-Luttinger liquid in the single chain case while the spin gap opens in the double-chain system. This approach offers a new method to identify the strong-coupling fixed point, and its relation to the Abelian bosonization formalism is discussed on the spin gap state. The generalization to higher dimensions is also discussed.

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Naoto Nagaosa, Masaki Oshikawa. 1995-06-09. Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions. https://doi.org/10.1143/jpsj.65.2241

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