Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions

Preprint

9 June 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9412003

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.

Keywords

All Related Versions

Version 1, 1994-12-01, ArXiv
Version 2, 1995-06-09, ArXiv
Published version: Journal of the Physics Society Japan, 65 (7), 2241.

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