English

How to bosonize fermions with non-linear energy dispersion

Condensed Matter 2009-01-23 v1

Abstract

We develop a systematic method to treat the effect of non-linearity in the energy dispersion on the usual bosonization result for the single-particle Green's function of fermions in arbitrary dimension. The leading corrections due to the quadratic term in the energy dispersion are explicitly calculated. In the Chern-Simons theory for half-filled quantum Hall systems curvature is shown to be essential.

Keywords

Cite

@article{arxiv.cond-mat/9603158,
  title  = {How to bosonize fermions with non-linear energy dispersion},
  author = {Peter Kopietz and Guillermo E. Castilla},
  journal= {arXiv preprint arXiv:cond-mat/9603158},
  year   = {2009}
}

Comments

RevTex, one figure; submitted to Phys. Rev. Lett