The University of Southampton
University of Southampton Institutional Repository

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

Magnetism and Hund's rule in an optical lattice with cold fermions
Magnetism and Hund's rule in an optical lattice with cold fermions
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.
1-10
Kärkkäinen, K.
7285f0df-8b7a-4124-b995-69c9002ecd19
Borgh, M.
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Manninen, M.
fd5106ea-6562-4c78-a65a-63f64c198fcb
Reimann, S.M.
5deb90dc-8734-4b9f-b760-93e99838cb81
Kärkkäinen, K.
7285f0df-8b7a-4124-b995-69c9002ecd19
Borgh, M.
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Manninen, M.
fd5106ea-6562-4c78-a65a-63f64c198fcb
Reimann, S.M.
5deb90dc-8734-4b9f-b760-93e99838cb81

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 (33), 1-10. (doi:10.1088/1367-2630/9/2/033).

Record type: Article

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.

Text
1367-2630_9_2_033.pdf - Version of Record
Download (602kB)

More information

Published date: 21 February 2007
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 198757
URI: http://eprints.soton.ac.uk/id/eprint/198757
PURE UUID: 48601f20-a108-4c42-8a74-8beff4bb88bd

Catalogue record

Date deposited: 06 Oct 2011 15:30
Last modified: 14 Mar 2024 04:14

Export record

Altmetrics

Contributors

Author: K. Kärkkäinen
Author: M. Borgh
Author: M. Manninen
Author: S.M. Reimann

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×