Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1998-06-09
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 1 figure included, revtex
Scientific paper
The exact and analytical low energy spectrum of the ferromagnetic Kondo lattice model on a complete graph extended with on-site repulsion $U$ is obtained in terms of a dynamical spl(2,1) supersymmetry in the limit of infinitely strong Hund's coupling (double exchange). Furthermore, we show that for the particular value of $U=J_H/2$ the supersymmetry is not constrained to infinite $J_H/t$ only and we calculate the energy including the $t^2/J_H$ corrections analytically and we give numerical evidence which suggest that the Kondo Hamiltonian is itself supersymmetric for any $J_H/t$. On a $N$ site graph, the ferromagnetic ground state is realized for 1 and $N$+1 electrons only. In the leading order in the value of the core spin, the quantum and semiclassical spectra are identical.
Lacaze Robert
Penc Karlo
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