Bosonization on the lattice: the emergence of the higher harmonics

Abstract

A general and transparent procedure to bosonize fermions placed on a lattice is presented. Harmonics higher than $k_F$ are shown to appear in the one-paticle Green function, due to the compact character of real electron bands. Quantitative estimations of the role of these higher harmonics are made possible by the bosonization technique presented here.

Pages: 15 (REVTEX 3.0) plus 4 postscript figures appended at the end of the text