Kennedy, Tom ; Lieb, Elliott H. ; Sriram Shastry, B. (1988) Existence of Néel order in some spin-½ Heisenberg antiferromagnets Journal of Statistical Physics, 53 (5-6). pp. 1019-1030. ISSN 0022-4715
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Official URL: http://www.springerlink.com/content/x564p4887u9310...
Related URL: http://dx.doi.org/10.1007/BF01023854
Abstract
The methods of Dyson, Lieb, and Simon are extended to prove the existence of Néel order in the ground state of the 3D spin-½ Heisenberg antiferromagnet on the cubic lattice. We also consider the spin-½ antiferromagnet on the cubic lattice with the coupling in one of the three lattice directions taken to ber times its value in the other two lattice directions. We prove the existence of Néel order for 0.16 ≤ r ≤ 1. For the 2D spin-½ model we give a series of inequalities which involve the two-point function only at short distances and each of which would by itself imply Néel order.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Néel Order ; Spin-½; Antiferromagnets; Infrared Bounds; Gaussian Domination |
| ID Code: | 50838 |
| Deposited On: | 27 Jul 2011 13:14 |
| Last Modified: | 27 Jul 2011 13:14 |
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