Analogy between the Kondo lattice and the Hubbard model from renormalisation-group calculations in one dimension

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, , Citation R Jullien and P Pfeuty 1981 J. Phys. F: Met. Phys. 11 353 DOI 10.1088/0305-4608/11/2/008

0305-4608/11/2/353

Abstract

Real-space renormalisation-group methods, applied to both the Kondo lattice and Hubbard one-dimensional (1D) half-filled models show that the two systems behave in a very similar way. For the half-filled 1D Kondo lattice the calculations show that a gap, Delta , opens up for all J (where J is the exchange coupling) and an analytical low-J expansion near the J=0 fixed point gives Delta approximately exp(-A/J) as in the exact solution of the Hubbard model.

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10.1088/0305-4608/11/2/008