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. ISSN 1367-2630

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: physics and astronomy(all) ,/dk/atira/pure/subjectarea/asjc/3100
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Depositing User: LivePure Connector
Date Deposited: 01 Aug 2022 09:30
Last Modified: 28 Mar 2025 11:35
URI: https://ueaeprints.uea.ac.uk/id/eprint/87014
DOI: 10.1088/1367-2630/9/2/033

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