Luttinger sum rules and spin fractionalization in the SU( N ) Kondo lattice

@article{Hazra2021LuttingerSR,
  title={Luttinger sum rules and spin fractionalization in the SU(
N
) Kondo lattice},
  author={Tamaghna Hazra and Piers Coleman},
  journal={Physical Review Research},
  year={2021}
}
We show how Oshikawa’s theorem for the Fermi surface volume of the Kondo lattice can be extended to the SU(N) symmetric case. By extending the theorem, we are able to show that the mechanism of Fermi surface expansion seen in the large N mean-field theory is directly linked to the expansion of the Fermi surface in a spin-1/2 Kondo lattice. This linkage enables us to interpret the expansion of the Fermi surface in a Kondo lattice as a fractionalization of the local moments into heavy electrons… 

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