---
res:
bibo_abstract:
- We consider Ising models in two and three dimensions with nearest neighbor ferromagnetic
interactions and long-range, power law decaying, antiferromagnetic interactions.
If the strength of the ferromagnetic coupling J is larger than a critical value
Jc, then the ground state is homogeneous and ferromagnetic. As the critical value
is approached from smaller values of J, it is believed that the ground state consists
of a periodic array of stripes (d=2) or slabs (d=3), all of the same size and
alternating magnetization. Here we prove rigorously that the ground state energy
per site converges to that of the optimal periodic striped or slabbed state, in
the limit that J tends to the ferromagnetic transition point. While this theorem
does not prove rigorously that the ground state is precisely striped or slabbed,
it does prove that in any suitably large box the ground state is striped or slabbed
with high probability.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Alessandro
foaf_name: Giuliani, Alessandro
foaf_surname: Giuliani
- foaf_Person:
foaf_givenName: Élliott
foaf_name: Lieb, Élliott
foaf_surname: Lieb
- foaf_Person:
foaf_givenName: Robert
foaf_name: Seiringer, Robert
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6781-0521
bibo_doi: 10.1103/PhysRevB.88.064401
bibo_issue: '6'
bibo_volume: 88
dct_date: 2013^xs_gYear
dct_language: eng
dct_publisher: American Physical Society@
dct_title: Realization of stripes and slabs in two and three dimensions@
...