Phase Transitions in the Symmetric Kondo Lattice Model in Two and Three Dimensions

Details Phase Transitions in the Symmetric Kondo Lattice Model in Two and Three Dimensions Phase Transitions in the Symmetric Kondo Lattice Model in Two and Three Dimensions

1995-04-05

arxiv.org/abs/cond-mat/9504020v2

Physics

Condensed Matter

12 pages, Revtex, replace previous corrupted file

Scientific paper

10.1103/PhysRevB.51.15630

We present an application of high-order series expansion in the coupling constants for the ground state properties of correlated lattice fermion systems. Expansions have been generated up to order $(t/J)^{14}$ for $d=1$ and $(t/J)^8$ for $d=2,\ 3$ for certain properties of the symmetric Kondo lattice model. Analyzing the susceptibility series, we find evidence for a continuous phase transition from the ``spin liquid'' phase characteristic of a ``Kondo Insulator'' to an antiferromagnetically ordered phase in dimensions $d\ge2$ as the antiferromagnetic Kondo coupling is decreased. The critical point is estimated to be at $(t/J)_c\approx0.7$ for square lattice and $(t/J)_c\approx0.5$ for simple-cubic lattice.

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