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Ferromagnetism in the SU(N) Kondo lattice model -- SU(N) double exchange and supersymmetry
- Source :
- Phys.Rev.A 107, 033317 (2023)
- Publication Year :
- 2022
-
Abstract
- We study the ground-state properties of the SU(N)-generalization of the Kondo-lattice model in one dimension when the Kondo coupling J_K (both ferromagnetic and antiferromagnetic) is sufficiently strong. Both cases can be realized using alkaline-earth-like cold gases in optical lattices. Specifically, we first carry out the strong-coupling expansion and identify two insulating phases (one of which is the SU(N)-analogue of the well-known gapped Kondo singlet phase). We then rigorously establish that the ground state in the low-density (for J_K<0) or the high-density (for J_K>0) region is ferromagnetic. The results are accounted for by generalizing the double-exchange mechanism to SU(N) "spins". Possible realizations of Bose-Fermi supersymmetry SU(N|1) in the (generalized) SU(N) Kondo-lattice model are discussed as well.<br />Comment: 21 pages, 13 figures, final version
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys.Rev.A 107, 033317 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2208.05899
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevA.107.033317