Magnetism and Hund's rule in an optical lattice with cold fermions

Kärkkäinen, K., Borgh, M. ORCID: https://orcid.org/0000-0003-4243-7051, 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: 13 Aug 2022 02:26
URI: https://ueaeprints.uea.ac.uk/id/eprint/87014
DOI: 10.1088/1367-2630/9/2/033

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