Abstract
An important quantity for quantum antiferromagnets in d=2 is Sc, the lowest value of spin for which Néel order is possible in the ground state of the Heisenberg Hamiltonian. By using the first three known terms of the 1/S expansion for the ground state magnetization M, together with the fact that M must vanish as (SSc)β, where β is the magnetization exponent of the n=3 classical Heisenberg model in d=3, we estimate that Sc=0.38. Our Padé analysis also estimates that for S= 1 2, M=0.54S. If the Padé answer is the full story, the next term in the 1/S expansion will have a coefficient ≈ - 2 3(0.2)3.
| Original language | English |
|---|---|
| Pages (from-to) | 165-166 |
| Number of pages | 2 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 137 |
| Issue number | 4-5 |
| DOIs | |
| State | Published - May 15 1989 |
Bibliographical note
Funding Information:The research of G. Murthy is supported by a grant from the National Science Foundation NSF # 85-07627.
Funding
The research of G. Murthy is supported by a grant from the National Science Foundation NSF # 85-07627.
| Funders | Funder number |
|---|---|
| National Science Foundation (NSF) | 85-07627 |
ASJC Scopus subject areas
- General Physics and Astronomy