On the Absence of Ferromagnetism in Typical 2D Ferromagnets
Journal Article
·
· Submitted to Communications in Mathematical Physics
OSTI ID:975040
We consider the Ising systems in d dimensions with nearest-neighbor ferromagnetic interactions and long-range repulsive (antiferromagnetic) interactions that decay with power s of the distance. The physical context of such models is discussed; primarily this is d = 2 and s = 3 where, at long distances, genuine magnetic interactions between genuine magnetic dipoles are of this form.We prove that when the power of decay lies above d and does not exceed d + 1, then for all temperatures the spontaneous magnetization is zero. In contrast, we also show that for powers exceeding d + 1 (with d {ge} 2) magnetic order can occur.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76SF00515
- OSTI ID:
- 975040
- Report Number(s):
- SLAC-PUB-13969; TRN: US201007%%974
- Journal Information:
- Submitted to Communications in Mathematical Physics, Journal Name: Submitted to Communications in Mathematical Physics
- Country of Publication:
- United States
- Language:
- English
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