How to bosonize fermions with non-linear energy dispersion

Physics – Condensed Matter

Scientific paper

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

Scientific paper

10.1103/PhysRevLett.76.4777

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.

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