Disorder effects in the one-dimensional Anderson lattice model

We have studied the one-dimensional periodic, symmetric Anderson model at h alf filling in the presence of disorder using finite-temperature quantum Mo nte Carlo techniques. We have considered the disorder of both the hybridiza tion between the local f-orbitals and the conduction electrons and the loca l f-site energy, using a uniform distribution of width Delta. The f-orbital local magnetic moment, the static magnetic susceptibility, the charge susc eptibility, and the nearest-neighbor magnetic correlation function have bee n calculated as a function of the disorder distribution width Delta. We fin d that the hybridization disorder has a dramatical effect on the low-temper ature magnetic properties giving rise to a non-Fermi liquid behavior, and t hat the magnetic susceptibility can be scaled by a power law with an expone nt which is in excellent agreement with experiment. On the other hand, diso rder of the local f-orbital energy level does not show a non-Fermi liquid b ehavior. (C) 1999 American Institute of Physics. [S0021-8979(99)18008-3].