Magnetism and Hund's rule in an optical lattice with cold fermions
(2007) In New Journal of Physics 9.- 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,... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/674484
- author
- Kärkkäinen, Kimmo LU ; Borgh, Magnus LU ; Manninen, M. and Reimann, Stephanie LU
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- in
- New Journal of Physics
- volume
- 9
- article number
- 33
- publisher
- IOP Publishing
- external identifiers
-
- wos:000244400400001
- scopus:33847234283
- ISSN
- 1367-2630
- DOI
- 10.1088/1367-2630/9/2/033
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
- id
- 98a4f9d7-1e72-4b76-91b8-7281bf1ad21e (old id 674484)
- date added to LUP
- 2016-04-01 16:14:09
- date last changed
- 2022-01-28 18:17:37
@article{98a4f9d7-1e72-4b76-91b8-7281bf1ad21e,
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.}},
author = {{Kärkkäinen, Kimmo and Borgh, Magnus and Manninen, M. and Reimann, Stephanie}},
issn = {{1367-2630}},
language = {{eng}},
publisher = {{IOP Publishing}},
series = {{New Journal of Physics}},
title = {{Magnetism and Hund's rule in an optical lattice with cold fermions}},
url = {{http://dx.doi.org/10.1088/1367-2630/9/2/033}},
doi = {{10.1088/1367-2630/9/2/033}},
volume = {{9}},
year = {{2007}},
}