Proof of a Conjecture by Luttinger and Tisza
- 1 March 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 7 (5) , 2050-2053
- https://doi.org/10.1103/physrevb.7.2050
Abstract
A conjecture of Luttinger and Tisza on the ordering of classical spins on a lattice is proven for a class of Bravais lattices with arbitrary spin-spin interactions, provided the interaction obeys a simple symmetry, and is restricted to nearest neighbors only. The proof holds for lattices in which all bonds lie along edges of stacked similar parallelepipeds.Keywords
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