Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions

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.

Revised and enlarged version. 16 pages in REVTEX

References in corpus (5)

• Correlations in a two--chain Hubbard model
• Pairing and Excitation Spectrum in doped t-J Ladders
• Spin Gap Fixed Points in the Double Chain Problem
• Semiclassical Solution of One Dimensional Model of Kondo Insulator
• Bosonization approach to the one-dimensional Kondo lattice model

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