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.
Keywords
Cite
@article{arxiv.cond-mat/9412003,
title = {Chiral Anomaly and Spin Gap in One-Dimensional Interacting Fermions},
author = {Naoto Nagaosa and Masaki Oshikawa},
journal= {arXiv preprint arXiv:cond-mat/9412003},
year = {2009}
}
Comments
Revised and enlarged version. 16 pages in REVTEX