Magnetism and Hund's rule in an optical lattice with cold fermions
Kärkkäinen, K, Borgh, M, Manninen, M and Reimann, S M (2007) Magnetism and Hund's rule in an optical lattice with cold fermions. New Journal of Physics, 9, (2), 33. (doi:10.1088/1367-2630/9/2/033).
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We demonstrate that a two-dimensional (2D) optical lattice loaded with repulsive, contact-interacting fermions shows a rich and systematic magnetic phase diagram. Trapping a few (N ≤ 12) fermions in each of the single-site minima of the optical lattice, we find that the shell structure in these quantum wells determines the magnetism. In a shallow lattice, the tunnelling between the single wells is strong, and the lattice is non-magnetic (NM). For deeper lattices, however, the shell filling of the single wells with fermionic atoms determines the magnetism. As a consequence of Hund's first rule, the interaction energy is lowered by maximizing the number of atoms of the same species. This leads to a systematic sequence of NM, ferromagnetic (F) and antiferromagnetic (AF) phases.
|Subjects:||Q Science > QC Physics
Q Science > QA Mathematics
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences > Applied Mathematics
|Date Deposited:||06 Oct 2011 15:30|
|Last Modified:||04 Jan 2013 17:12|
|Contributors:||Kärkkäinen, K (Author)
Borgh, M (Author)
Manninen, M (Author)
Reimann, S M (Author)
|Date:||21 February 2007|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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