NONPERTURBATIVE APPROACH TO LUTTINGERS THEOREM IN ONE-DIMENSION

The Lieb-Schultz-Mattis theorem for spin chains is generalized to a wi de range of models of interacting electrons and localized spins on a o ne dimensional lattice. The existence of a low-energy state is general ly proved except for special commensurate fillings where a gap may occ ur. Moreover, the crystal momentum of the constructed low-energy state is 2k(F), where k(F) is the Fermi momentum of the noninteracting mode l, corresponding to Luttinger's theorem. For the Kondo lattice model, our result implies that k(F) must be calculated by regarding the local ized spins as additional electrons.