One-dimensional periodic Anderson model at partial band filling

An effective hamiltonian is derived for the one-dimensional periodic Anderson model via bosonization. The effective hamiltonian is shown to reproduce all the features of the model as identified by DMRG and provides new information on the ferromagnetic to paramagnetic phase transitions and the paramagnetic phase. We are using a non-Abelian DMRG to determine numerically the phase diagram of the one-dimensional periodic Anderson model. We found very good agreement between the bosonization approach and the DMRG results.