Solution of quantum double exchange on the complete graph from spl(2,1) dynamical supersymmetry

dc.creatorPenc, Karlo
dc.creatorLacaze, Robert
dc.date1998-06-09
dc.date.accessioned2026-07-07T03:10:48Z
dc.date.available2026-07-07T03:10:48Z
dc.descriptionThe 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.
dc.description4 pages, 1 figure included, revtex
dc.identifierhttps://arxiv.org/abs/cond-mat/9806116
dc.identifierhttp://arxiv.org/abs/cond-mat/9806116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28345
dc.subjectStrongly Correlated Electrons
dc.titleSolution of quantum double exchange on the complete graph from spl(2,1) dynamical supersymmetry
dc.typetext

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