Phase Diagram of the 1D Anderson Lattice

Physics – Condensed Matter

Scientific paper

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REVTEX manuscript with 5 Postcript figures included in uu file. Submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.53.3707

We map out the phase diagram of the one--dimensional Anderson lattice by studying the ground state magnetization as a function of band--filling using the density matrix renormalization group technique. For strong coupling, we find that the quarter--filled system has an S=0 ground state with strong antiferromagnetic correlations. As additional electrons are put in, we find first a ferromagnetic phase, as reported by M\"{o}ller and W\"{o}lfle, and then a phase in which the ground state has total spin $S=0$. Within this $S=0$ phase, we find RKKY oscillations in the spin--spin correlation functions.

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