A low temperature derivation of spin-spin exchange in Kondo lattice model

Details A low temperature derivation of spin-spin exchange in Kondo lattice model A low temperature derivation of spin-spin exchange in Kondo lattice model

2005-09-23

arxiv.org/abs/cond-mat/0509588v1

Physica B 368 (2005):143.

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, no figures

Scientific paper

10.1016/j.physb.2005.07.009

Using Hubbard-Stratonovich transformation and drone-fermion representations for spin-1/2 and for spin-3/2, which is presented for the first time, we make a path-integral formulation of the Kondo lattice model. In the case of weak coupling and low temperature, the functional integral over conduction fermions can be approximated to the quadratic order and this gives the well-known RKKY interaction. In the case of strong coupling, the same quadratic approximation leads to an effective local spin-spin interaction linear in hopping energy $t$

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